Free Printable NCM2 Quiz Question Bank

1.

Which two angles are supplementary

a)

∠1 and ∠3

b)

∠2 and ∠6

c)

∠4 and ∠6

d)

∠7 and ∠8

2.

Which two angles are alternate exterior?

a)

1 & 3

b)

2 & 6

c)

4 & 7

d)

7 & 1

3.

Which of the following two angles are congruent?

a)

1 & 4

b)

4 & 5

c)

1 & 5

d)

7 & 8

4.

Which two angles are corresponding?

a)

4 and 8

b)

4 and 6

c)

1 and 2

d)

2 and 8

5.

If angle 2 is 70 degrees, what is the measure of angle 1?

a)

70 degrees

b)

20 degrees

c)

110 degrees

d)

180 degrees

6.

If angle 2 is 70 degrees, what is the measure of angle 4?

a)

70

b)

110

c)

20

d)

180

7.

Solve for x.

a)

23

b)

-20

c)

32

d)

20

8.

What is the value of x?

a)

13

b)

6.2

c)

29.8

9.

Find the measure of x

a)

35

b)

60

c)

85

d)

120

10.

Which sets of measurements could be the interior angles of a triangle? Select EACH correct answer.

a)

15°, 15°, 150°

b)

10°, 90°, 100°

c)

30°, 30°, 115°

d)

10°, 80°, 90°

e)

60°, 60°, 60°

11.

Find the measure of the indicated angle.

a)

95

b)

85

c)

35

d)

45

12.

If all three angles are exactly the same measure, how big is each angle?
Hint: x + x + x = 180

a)

180 degrees

b)

90 degrees

c)

50 degrees

d)

60 degrees

13.

Find the measure of the missing angle.

a)

90^o

b)

10⁰

c)

130^o

d)

50^o

14.

Solve for x.

a)

16

b)

11

c)

50

d)

6

15.

Solve for x.

a)

6

b)

-10

c)

7

d)

-9

16.

What is the measure of a third angle in a triangle when the first two angles measure

34\degree\ and\ 101\degree

?

a)

$32\degree$

b)

$45\degree$

c)

$54\degree$

d)

$39\degree$

17.

Solve for x.

a)

21

b)

17

c)

11

d)

10

18.

The Exterior Angle Theorem states that...

a)

< 4

b)

90

c)

< 3

d)

180

19.

Remote interior angles of a triangle are...

a)

inside a triangle and are not adjacent to the exterior angle

b)

inside a triangle and are adjacent to the exterior angle

c)

outside a triangle and are not adjacent to the exterior angle

d)

outside a triangle and are adjacent to the exterior angle

20.

What is the value of x?

(a)

21.

Find the measure of each angle indicated.

(a)

22.

Solve for x

a)

49

b)

58

c)

70

d)

94

23.

Solve for x

a)

70

b)

23

c)

120

d)

130

24.

Solve for x

a)

85

b)

78

c)

95

d)

110

25.

In a triangle, how many total degrees are there?

a)

100%

b)

180 degrees

c)

it varies

d)

360 degrees

26.

What is the name of this kind of triangle?

Select all that apply.

a)

Right

b)

Isosceles

c)

Scalene

d)

Equilateral

27.

Look at the sides of this triangle. What type of triangle is this?

a)

Equilateral

b)

Isosceles

c)

Scalene

d)

Obtuse

28.

Look at the sides of this triangle. What type of triangle is this?

a)

scalene

b)

acute

c)

equilateral

d)

isosceles

29.

Look at the sides and angles of this triangle. Which type of triangle is pictured?

Select all that apply

a)

Equilateral Triangle

b)

Scalene Triangle

c)

Isosceles Triangle

d)

Right Triangle

e)

Acute Triangle

30.

What type of triangle is shown?

a)

Isosceles

b)

Right

c)

Equilateral

d)

Scalene

31.

What type of triangle is shown?

Select all that apply

a)

Isosceles

b)

Right

c)

Equilateral

d)

Scalene

32.

Daniel has drawn a triangle with sides of length 5cm, 5cm and 8cm.

What type of triangle has he drawn?

a)

Isosceles

b)

Perfect

c)

Equilateral

d)

Scalene

33.

Charlotte has drawn a triangle with angles of 60°, 60° and 60°.

What type of triangle has she drawn?

a)

Obtuse

b)

Right-angled

c)

Scalene

d)

Acute

34.

Match the following triangles to the type. Each triangle can only have 1 name...choose the best name for each!

a)

1.

Scalene

b)

2.

Isosceles

c)

3.

Equilateral

35.

Which of the following are considered special right triangles?

a)

30-60-90

b)

45-45-90

c)

20-70-90

d)

40-50-90

36.

The (a) of a right triangle create the (b) and the (c) is always the (d) side.

Choose from the below words

legs

right angle

hypotenuse

longest

shortest

acute angle

diagonal

37.

What is the value of y?

a)

$5\sqrt[]{2}$

b)

$10$

c)

$5$

d)

$5\sqrt[]{6}$

e)

$None\ of\ these$

38.

What is the value of x?

a)

$5\sqrt[]{2}$

b)

$10$

c)

$5$

d)

$5\sqrt[]{6}$

e)

$None\ of\ these$

39.

What is the value of x?

a)

$7$

b)

$14\sqrt[]{3}$

c)

$14$

d)

$\frac{7\sqrt[]{3}}{2}$ $.$

e)

$None\ of\ these$

40.

What is the value of y?

a)

$7$

b)

$14\sqrt[]{3}$

c)

$14$

d)

$\frac{7\sqrt[]{3}}{2}$ $.$

e)

$None\ of\ these$

41.

What is the value of y? Value only, no y =

42.

What is the value of x? Value only, no x =

43.

What is the value of x? Value only, no x =

44.

What is the value of y? Value only, no y =

45.

What is the value of a? Value only, no a =

46.

What is the value of m? Value only, no m =

47.

Match the following for finding sides in a 30-60-90 right triangle.

a)

Short Leg

1.

Half of the hypotenuse

b)

Hypotenuse

2.

Double the short leg

c)

Long Leg

3.

Short leg times square root of 3

48.

In a 45-45-90 right triangle, to find the measure of a leg, you take the (a) and (b) by (c) .

Choose from the below words

hypotenuse

divide

$\sqrt[]{2}$

\sqrt[]{3}

2

multiply

short leg

long leg

49.

In a 30-60-90 right triangle, to find the measure of the long leg, you take the (a) and (b) by (c) .

Choose from the below words

$\sqrt[]{2}$

\sqrt[]{3}

2

multiply

short leg

long leg

divide

hypotenuse

50.

Match the following for a 30-60-90 right triangle

a)

Short Leg

1.

Opposite the 30° angle.

b)

Long Leg

2.

Opposite the 60° angle.

c)

Hypotenuse

3.

Opposite the right angle.

51.

In a 45-45-90 right triangle, how many sides are the same size?

a)

None

b)

Two

c)

All 3

d)

Depends on the triangle

52.

If you know the value of the hypotenuse in a 45-45-90 right triangle, how would you find the measure of a leg?

a)

Divide by the square root of 2

b)

Divide by the square root of 3

c)

Multiply by 2

d)

Divide by 2

e)

None of these

53.

If you knew the value of the hypotenuse of a 30-60-90 right triangle, how would you find the measure of the long leg?

a)

Divide by the square root of 3

b)

Multiply by the square root of 3

c)

Divide by 2

d)

Multiply by 2

e)

None of these

54.

Label each of the following.

a)

Short Leg

b)

Long Leg

c)

Hypotenuse

1

2

3

1)

2)

3)

55.

What is the angle of rotation for this counterclockwise rotation about the origin?

a)

90° Clockwise

b)

180°

c)

270° Clockwise

d)

270° Counterclockwise

56.

How many degrees was the figure rotated?

a)

90 degrees counterclockwise

b)

180 degrees

c)

90 degrees clockwise

57.

Triangle C is rotated 180° clockwise with the origin as the center of rotation to create a new figure. Which triangle shows the new location?

a)

A

b)

B

c)

C

d)

D

58.

Rotate the point (-3,-4) around the origin 180 degrees. State the image of the point.

a)

(-4,-3)

b)

(-4,3)

c)

(4,-3)

d)

(3,4)

59.

When a coordinate yields (-x, -y), it is a

a)

180 degree rotation

b)

a 90 degree clockwise rotation

c)

a 90 degree counterclockwise rotation

d)

A 360 degree rotation

60.

If you were to rotate ABCD 180° about the origin, what would the coordinates of B' be?

a)

(0, 0)

b)

(-6, -5)

c)

(-1, 3)

d)

(-6, 2)

61.

Dilate the figure by a scale factor of 3 with the origin as the center of dilation. What are the coordinates of the image?
A(3,3) B(6,6) C(9,3)

a)

A'(9,9) B'(18,18) C'(27,9)

b)

A'(6,6) B'(9,9) C'(12,6)

c)

A'(0,0) B'(3,3) C'(6,0)

d)

A'(1,1) B'(2,2) C'(3,1)

62.

The point (8, 12) was dilated to become point (2, 3). What was the scale factor?

a)

½

b)

¼

c)

4

d)

2

63.

A dilation produces a congruent figure

a)

True

b)

False

64.

When a dilation has a scale factor greater than one, the dilation is an enlargement.

a)

True

b)

False

65.

When the scale factor of a dilation is less than one, the dilation is a reduction.

a)

True

b)

False

66.

How do you write the algebraic notation when the scale factor is 3?

a)

(x, y) $\rightarrow$ (1/3x, 1/3y)

b)

(x, y) $\rightarrow$ (-3x, -3y)

c)

(x, y) $\rightarrow$ (x + 3, y + 3)

d)

(x, y) $\rightarrow$ (3x, 3y)

67.

Did the image enlarge, reduce or none of the above?

a)

Enlarge

b)

Reduce

c)

None of the above

68.

Find missing side. If the scale factor is 1:3

a)

5

b)

7

c)

3

d)

11

69.

What is the scale factor from the Small triangle to the Large triangle?

a)

1

b)

3

c)

1/3

d)

8

70.

Find the missing side.

If the scale factor is

1:2

a)

x = 10

b)

x = 4

c)

x = 2

d)

x = 5

71.

Scale Factor of ½ is __________________ .

a)

Reduction

b)

Enlargement

72.

Scale Factor of 5 is _________________ .

a)

Reduction

b)

Enlargement

73.

If the scale factor is equal to 1, the copy is ________ the original.

a)

the same as

b)

smaller than

c)

bigger than

74.

sf = 0.8

a)

Reduction

b)

Enlargement

75.

sf = 6/5

a)

Reduction

b)

Enlargement

76.

Two objects that are the same shape but not the same size are _______.

a)

Congruent

b)

Vertical

c)

Similar

d)

Complementary

77.

Two objects that are the same shape but not the same size are:

a)

Congruent

b)

Similar

c)

Complementary

d)

Vertical

78.

Tell whether the two figures are similar. Explain your reasoning.

a)

Yes, similar because they are the same shape and side lengths are proportional.

b)

No, not similar because they are the same shape, but side lengths are not proportional.

c)

Yes, same shape

d)

No, different sizes

79.

Translations, reflections and rotations are all known as ________________________.

a)

Geometry

b)

Rigid Transformations

c)

Congruent Transformatives

d)

Specialty Transformations

80.

Congruent means...

a)

The same angles only.

b)

The same size, shape and angles.

c)

The same shape but different size.

d)

The same transformation.

81.

What is the sequence of transformations for the image given? (Remember: The new Image has the prime symbols.)

a)

Reflect over the x-axis, translate (x+8,y)

b)

Reflect over the x-axis then translate (x+6, y)

c)

Reflect over the y-axis then (x+1, y+1)

d)

Translate down 4 (y-4) and to the right 5 (x+5)

82.

Which of the following describes the sequence of transformations shown? (From A to A' to A")

a)

Reflect across the x-axis and then rotate 90 degrees clockwise around the origin

b)

Rotate 90 degrees clockwise around the origin and then translate down.

c)

Reflect across the x-axis and then reflect across the y-axis.

d)

Translate up and then rotate 90 degrees counterclockwise about the origin.

83.

Which figure can be transformed into figure L by a 90° rotation clockwise about the origin followed by a translation 2 units down?

a)

Figure J

b)

Figure M

c)

Figure N

d)

Figure P

84.

. Triangle FGH and triangle F'G'H' are shown on the coordinate grid above.

Which sequence of transformations could be applied to triangle FGH to create triangle F'G'H'?

a)

a translation 3 units left followed by a translation 1 unit up

b)

a reflection across the x-axis followed by a rotation 180° clockwise about the origin

c)

a rotation 180° clockwise about the origin followed by a translation 3 units up and then a translation 1 unit right

d)

a reflection across the y-axis followed by a rotation 90° counterclockwise about the origin and then a reflection across the x-axis

85.

Match the following angles with the correct relationship.

a)

$\angle ADC\ and\ \angle BED$

1.

Corresponding angles

b)

$\angle CDG\ and\ \angle BEF$

2.

Alternate Exterior Angles

c)

$\angle GDE\ and\ \angle DEH$

3.

Same side Interior Angles

d)

$\angle ADE\ and\ \angle CDG$

4.

Vertical Angles

86.

What is the value of $\angle GDE$ ?

(a)

87.

What is the value of $\angle BEF$ ?

(a)

88.

What is the value of $\angle CDG$ ?

(a)

89.

$\angle WVY\ and\ \angle VWT$ are (a) angles.

When two parallel lines are cut by a transversal, the (b) angles are supplementary.

Choose from the below words

alternate interior

same side interior

alternate exterior

corresponding

vertical

90.

The $m\angle SVW$ is (a)

The $m\angle VWT$ is (b)

Choose from the below words

80

100

90

50

130

91.

Match all of the corresponding angles to one another.

a)

1

1.

5

b)

3

2.

7

c)

2

3.

6

d)

4

4.

8

92.

Which angles are exterior angles? (a) (b) (c) (d)

Choose from the below words

1

2

7

8

3

4

5

6

93.

The relationship between angles 3 and 6 is (a)

The relationship between angles 4 and 6 is (b)

Choose from the below words

alternate interior

same side interior

alternate exterior

same side exterior

corresponding

vertical

94.

The Cross Country Bike Trail follows a straight line where it crosses 350th and 360th Streets. The two streets are parallel to each other. What is the measure of the larger angle formed at the intersection of the bike trail and 360th Street?

a)

112

b)

122

c)

132

d)

142

95.

How many angles are created when a transversal crosses three parallel lines?

a)

8

b)

10

c)

12

d)

14

96.

Which equation would be used to solve for x?

a)

3x + 2x + 50 = 180

b)

3x = 2x + 50

97.

Match the following

a)

Corresponding Angles

1.

Angles of the same side of the transversal and in the same position

b)

Alternate Interior Angles

2.

Interior angles, non-adjacent, and on opposite sides of the transversal

c)

Alternate Exterior Angles

3.

Exterior angles, non-adjacent, and on opposite sides of the transversal

d)

Same Side Interior Angles

4.

Interior angles that are on the same side of the transversal

e)

Same Side Exterior Angles

5.

Exterior angles that are on the same side of the transversal

98.

Which equation should be used to find the value of x?

a)

74 = 9x + 11

b)

9x + 11 + 74 = 180

99.

If angle 2 is 70 degrees, what is the measure of angle 1?

a)

70 degrees

b)

20 degrees

c)

110 degrees

d)

180 degrees

100.

Find x.

a)

130

b)

50

101.

Match the following:

a)

1.

Same-side Interior Angles

b)

2.

Alternate Exterior Angles

c)

3.

Alternate Interior Angles

d)

4.

Corresponding Angles

102.

A taxi way is being constructed that intersects two parallel runways at an airport. The $m\angle1\ =\ 79\degree$ .

What is the $m\angle2$ ?

a)

$97\degree$

b)

$79\degree$

c)

$101\degree$

d)

$11\degree$

103.

What value of x would make $m\parallel n$ ? Write the NUMBER ONLY.

(a)

104.

Find the measure of x? Write the NUMBER ONLY.

(a)

105.

A slide is also called a _________.

a)

Translation

b)

Reflection

c)

Rotation

d)

Dilation

106.

A flip is also called ___________.

a)

Translation

b)

Reflection

c)

Rotation

d)

Dilation

107.

Identify this transformation.

a)

Dilation

b)

Rotation

c)

Translation

d)

Reflection

108.

Determine how to translate triangle A'B'C' to triangle ABC.

a)

(x+2, x+9)

b)

(x+2, y-9)

c)

(x-2, y-9)

d)

(x-2, y+9)

109.

Determine where X' would be if you translated the figure 3 units to the left and 9 units down.

a)

(-4, 4)

b)

(-10, 2)

c)

(-4, -5)

d)

(-1, 5)

110.

How was B translated to B' if B' is at (4, -2)?

a)

Translated 6 units down

b)

Translated 2 units to the left and 6 units down

c)

Translated 2 units to the right and 6 units down

d)

Translated 2 units to the right

111.

How would you translate point P to P'?

a)

Translate 2 units to the right and 8 units down

b)

Translate 3 units down and 2 units to the right

c)

Translate 4 units down and 4 units to the left

d)

Translate 8 units to the right and 2 units down

112.

How do you represent a translation Algebraically?

a)

(-y, -x)

b)

(x + a, y + b)

c)

(-x , -y)

d)

(ax, by)

113.

Determine how to translate triangle A'B'C' to triangle ABC.

a)

$T_{2,-9}$

b)

$T_{2,9}$

c)

$T_{-2,-9}$

d)

$T_{-2,9}$

114.

The result of a transformation (the "after").

a)

Pre-image

b)

Image

115.

The original figure prior to a transformation (the "before").

a)

Pre-image

b)

Image

116.

What transformation is happening?
(x, y) ----> (x + 2, y - 3)

a)

slide up 2, left 3

b)

slide right 2, up 3

c)

slide right 2, down 3

d)

slide left 3, right 2

117.

What does this transformation say to do?
$T_{0,4}$

a)

slide down 4

b)

slide up 4

c)

slide right 4

d)

slide left 4

118.

What happens to (-9, 3) when it is translated 4 units down and 3 units right?

a)

(-6, -1)

b)

(-13, 6)

c)

(-5, 6)

d)

(-6, 7)

119.

Reflect Point C over the y-axis:

a)

(-3, 2)

b)

(3, 2)

c)

(-2, 3)

d)

(3, 0)

120.

Which answer shows a reflection across the x-axis?

a)

d

b)

c

c)

b

d)

a

121.

Which answer shows a reflection across the y-axis?

a)

a

b)

b

c)

c

d)

d

122.

Which axis is the horizontal (left-right) one?

a)

x-axis

b)

y-axis

123.

Which equation produces a vertical (straight up and down) line?

a)

x = k

b)

y = k

124.

Which equation produces a horizontal (straight left to right) line?

a)

x = k

b)

y = k

125.

Which axis is the vertical (up-down) one?

a)

x-axis

b)

y-axis

126.

State the line of reflection.

a)

Reflection across y-axis

b)

Reflection across x-axis

c)

Reflection across y = -x

d)

Reflection across y = x

127.

Find C' if the figure is reflected across the x-axis

a)

(1, 3)

b)

(-1, -3)

c)

(-3, -1)

d)

(-1, -3)

128.

Reflections over the x-axis change the _____________.

a)

y-coordinate

b)

x-coordinate

129.

What is the midpoint between (3, -1) and (7, -5)

a)

(5, -2)

b)

(10, -6)

c)

(5, -3)

d)

(2, -2)

130.

Find the midpoint:

a)

\left(3,-1\right)

b)

$\left(-1,3\right)$

c)

$\left(3,4\right)$

d)

$\left(4,3\right)$

131.

Find the length of the missing side.

a)

17 cm

b)

22 cm

c)

15 cm

d)

13 cm

132.

Simplify $\sqrt[]{81}$ . Write the NUMBER ONLY.

133.

What is the distance from the hospital to the gas station? HINT - Use the Pythagorean Theorem.

a)

-10

b)

10

c)

8

d)

13

134.

Simplify the following radical: √32

a)

3√2

b)

4√8

c)

16√2

d)

4√2

135.

What is the domain of the function?
*Hint: Domain is the set of all x-values included in the function.

a)

x ≥ 3

b)

x ≤ 3

c)

All Real Numbers

d)

-1 ≤ x ≤ 5

136.

What is the range of the function?

*Hint: Range is all of the y-values included in the function.

a)

$\left(-\infty,\ 3\right]$

b)

$\left[-3,\ \infty\right)$

c)

All Real Numbers

d)

$\left[-6,\ 3\right]$

137.

Identify the domain and range of the function.

a)

Domain: All Real Numbers

Range: Range: ( $-\infty$ , -3)

b)

Domain: All Real Numbers

Range: ( $-\infty$ , -3]

c)

Domain: All Real Numbers

Range: (-3, $\infty$ )

d)

Domain: All real Numbers

Range: [-3, $\infty$ )

138.

A quadratic function is graphed on the grid.

Which answer choice best represents the domain and range of the function?

a)

Domain: $x\ge-3$

Range: $y\ge5$

b)

Domain: All Real Numbers

Range: $y\ge5$

c)

Domain: $x\ge-3$

Range: All Real Numbers

d)

Domain: $y\ge5$

Range: $x\ge-3$

139.

The graph of the quadratic function f is shown on the grid.

Which of these best represents the domain of f?

a)

$-3\le x\le2$

b)

All Real Numbers

c)

$y\ge5.5$

d)

All Real Numbers Less Than -3 or Greater Than 2

140.

What is the domain of $f\left(x\right)=9-x^2$ ?

a)

$f\left(x\right)\ge9$

b)

All Real Numbers

c)

$-3\le x\le3$

d)

$x\le9$

141.

Which graph best represents a function with a range of all real numbers greater than or equal to -6?

a)

b)

c)

d)

142.

Which graph best represents a function with a range of all real numbers less than or equal to -6?

a)

b)

c)

d)

143.

What is the range?

a)

y≥-3

b)

y≥-1

c)

All real numbers

d)

y≤-1

144.

What is the range of the function?

a)

R:{y is less than or equal to 3}

b)

R:{y is greater than or equal to 3}

c)

R:{all real numbers}

d)

R:{y is between and including -6 and 3}

145.

What are the domain and range of the graph?

a)

Domain: all real numbers

Range: $y\le-4$

b)

Domain: $-6<x<-1$ Range: $y\ge-4$

c)

Domain: all real numbers

Range: $y\ge-4$

d)

Domain: $-6\le x<-1$ Range: $y\ge-4$

146.

Name the vertex.

a)

(3, -4)

b)

(1, 0)

c)

(5, 0)

147.

Identify the x-intercepts. Select ALL that apply.

a)

-4

b)

0

c)

-2

148.

Identify the y-intercept. Select ALL that apply.

a)

1

b)

-1

c)

3

149.

Does the vertex of this parabola represent maximum or minimum?

a)

Maximum

b)

Minimum

150.

What is another word for x-intercept? Select ALL that apply.

a)

solution

b)

root

c)

vertex

d)

axis of symmetry

e)

zero

151.

Does the vertex of this graph represent maximum or minimum?

a)

Maximum

b)

Minimum

152.

Which of the following are x-intercepts of this graph? Select all that apply.

a)

(-2,4)

b)

(-4,0)

c)

(0,-4)

d)

(0,0)

153.

What is the axis of symmetry for this graph?

a)

y = 2

b)

x = 2

c)

x = 1

d)

y = 1

154.

What are the x-intercepts?

a)

0 and 2

b)

-4 and 0

c)

2 and 3

d)

0 and 4

155.

What is the significance of the ordered pair (0, -2) to the graph?

a)

It is the vertex

b)

It is an x-intercept

c)

It is the y-intercept

d)

It is the axis of symmetry

156.

What is the significance of the ordered pair (2, -4) to the graph?

a)

It is the vertex

b)

It is an x-intercept

c)

It is the y-intercept

d)

It is the axis of symmetry

157.

Which point is the vertex?

a)

(-8, 0)

b)

(-5, -9)

c)

(-2, 0)

d)

(-9, -5)

158.

What are the green dots called?

a)

y-intercepts

b)

rate of change

c)

vertex

d)

x-intercepts

159.

Define X-intercept

a)

The highest or lowest point on the graph.

b)

Where the parabola touches or intersects the x-axis.

c)

Where the parabola touches or intersects the y-axis.

d)

A line that divides the graph into two equal parts. i.e. cuts the graph in half.

160.

Define Y-intercept

a)

Where the parabola touches or intersects the x-axis, also called the x-intercept

b)

The lowest y-value on the graph

c)

The highest y-value on the graph

d)

Where the parabola touches or intersects the y-axis

161.

Define Vertex

a)

Where the parabola touches or intersects the x-axis

b)

The highest or lowest point on the graph

c)

Where parabola line touches or intersects the x- axis, also called the x-intercept

d)

A line that divides the graph into two equal parts. i.e. cuts the graph in half

162.

Define Axis Of Symmetry

a)

A line that divides the graph into two equal parts. i.e. cuts the graph in half

b)

Where the parabola touches or intersects the x-axis, also called the x-intercept

c)

The highest y-value on the graph

d)

The highest or lowest point on the graph

163.

Identify the y-intercept

a)

(0, -3)

b)

(3, 0)

c)

(0, 3)

d)

(2, 1)

164.

What is another name for the x-intercepts of a quadratic?

a)

y-intercept

b)

Zeros

c)

x-axis

d)

They don't have another name

165.

How many solutions does this graph have?

a)

one

b)

two

c)

no solutions

d)

all real numbers

166.

What is the axis of symmetry for this parabola?

a)

x=2

b)

x=3

c)

x=4

d)

x=5

167.

Is the vertex of this parabola a maximum or minimum?

a)

Maximum

b)

Minimum

168.

Does this graph have a maximum or minimum value?

a)

maximum

b)

minimum

169.

Identify A, B, and C if y = 3x²- 8 + 5x

a)

A=3

B=5

C=-8

b)

A=3

B=-8

C=5

c)

A=3x²

B=5x

C=-8

d)

A=3

B=8

C=5

170.

The parabola y = - 2x² - 4x + 1 will have an axis of symmetry of

a)

x = - 1

b)

x = 1

c)

x = 4

d)

x = - 4

171.

What is the equation for the AXIS OF SYMMETRY from the standard form of a quadratic? (also the x-value of the vertex)

a)

$x=\frac{-b}{2a}$

b)

$x=-2ab$

c)

$x=\frac{-a}{2b}$

d)

$x=\frac{-2}{ab}$

172.

Which of the following ordered pairs is the vertex of the equation $y=\ -x^{2\ }+\ 2x\ +\ 1?$

a)

(1, 2)

b)

(2, 1)

c)

(0, 1)

d)

(1, 0)

173.

In order to graph a quadratic equation in standard form, the first two steps are to use the equation (a) to find the axis of symmetry (which is the (b) of the (c) ), and then you can plug that value back into the equation to find the (d) .

Choose from the below words

$\left(x-h\right)^2$ , y-intercept

solution

x intercept

$y\ coordinate$

x coordinate

vertex

y intercept

x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}

$-\frac{b}{2a}$

174.

The parabola y = x² - 2x + 4 will

a)

open up

b)

open down

175.

The parabola y = -3x² - x + 4 will

a)

open up

b)

open down

176.

Which graph represents the following equation: $y=x^2-2x-3$

a)

b)

c)

d)

177.

What is the quadratic equation in standard form if a = 2, b = -3, and c =-6?

a)

$x^2-3x-6=0$

b)

$2x^2+3x+6=0$

c)

$3x^2+2x+6x=0$

d)

$2x^2-3x-6=0$

178.

What does it mean to write a quadratic equation in standard form?

a)

Move all of the terms to one side and set the equation equal to 0

b)

Find the x-intercept(s)

c)

Find the y-intercept

d)

Find the vertex

179.

How do you write the equation below in standard form and determine a, b, and c?

$16x^2-9=2x$

a)

b)

c)

d)

180.

Identify the b value for the following Quadratic:

-8x² - x + 7 = 0

a)

1

b)

0

c)

-1

181.

Identify a, b, and c for the following Quadratic:

x² + 2x = 4

a)

a = 1

b = - 4

c = 2

b)

a = 1

b = 2

c = 4

c)

a = 1

b = 2

c = 0

d)

a = 1

b = 2

c = - 4

182.

Identify the c value of the following Quadratic:

y = x² + 4x

183.

What should you do first in solving this equation?

x² + 6x - 13 = 3

a)

Factor.

b)

Subtract 3 from both sides.

c)

Add 3 to both sides.

d)

Add 13 to both sides.

184.

$2m^2=-2m+12$
Solve using the quadratic formula.

a)

$x=2,-3$

b)

$x=3,-2$

c)

$x=1\pm\sqrt{13}$

d)

No Solution

185.

Simplify the following radical: $\sqrt[]{32}$

a)

$3\sqrt[]{2}$

b)

$4\sqrt[]{8}$

c)

$16\sqrt[]{2}$

d)

$4\sqrt[]{2}$

186.

$\sqrt{4x^7y^5z^9}$ Simplify

a)

$2x^3y^2z^3\sqrt{xy}$

b)

$2z^3\sqrt{x^7y^5}$

c)

$2xyz\sqrt{x^6y^5z^8}$

d)

$2x^3y^2z^4\sqrt{xyz}$

187.

$\left(n+2\right)\left(n^2+5n-3\right)$

a)

$n^3+7n^2+13n-6$

b)

$n^3+7n^2+-7n+6$

c)

$n^3+7n^2+7n-6$

188.

Choose the correct ratio.

a)

cos(33^o)= $\frac{x}{14}$

b)

sin(33^o)= $\frac{x}{14}$

c)

cos(33^o)= $\frac{14}{x}$

d)

sin(33^o)= $\frac{14}{x}$

189.

a)

$\frac{9}{41}$

b)

$\frac{40}{41}$

c)

$\frac{9}{40}$

d)

$\frac{3}{10}$

190.

$\tan\left(R\right)=$

Simplify all ratios!

a)

$\frac{28}{53}$

b)

$\frac{45}{53}$

c)

$\frac{45}{28}$

d)

$\frac{28}{45}$

191.

Which of the following equations matches standard form of a quadratic?

a)

ax + by = c

b)

y = a(x - h)² + k

c)

y = ax² + bx + c

d)

y = mx + b

192.

If we have the equation y=ax²+bx+c, how can we can find the x-coordinate of the vertex?

a)

-a

b)

$\frac{-b}{a}$

c)

$\frac{b}{2a}$

d)

$\frac{-b}{2a}$

193.

What is the vertex of y=x²+4x+3?

a)

(2,1)

b)

(-2,1)

c)

(0,0)

d)

(-2,-1)

194.

The axis of symmetry line passes through which point?

a)

y-intercept

b)

any random point

c)

vertex

d)

symmetrical point for the vertex

195.

A parabola has a vertex at (-3,2).
Where is the axis of symmetry?

a)

y = -2

b)

x = 3

c)

x = -3

d)

y = 2

196.

Use the graph to determine the solutions.

a)

-1 and -3

b)

1 and -3

c)

1 and 3

d)

-1 and 3

197.

Does the equation open up or down?
Y = -3x² +7x - 2

a)

up

b)

down

198.

What does the following equation simplify to?
y=x²+8x+15

a)

y=(x+2)(x+6)

b)

y=(x+3)(x+5)

c)

y=(x-3)(x-5)

d)

y=(x+1)(x+15)

199.

What is the y-intercept of the following equation?
y=x²+8x+15

a)

y=8

b)

y=3

c)

y=5

d)

y=15

200.

$2m^2=-2m+12$
Solve using the quadratic formula.

a)

$x=2,-3$

b)

$x=3,-2$

c)

$x=1\pm\sqrt{13}$

d)

No Solution

201.

Use the quadratic formula to find the solutions for

y = -x² - 5x + 12

Hint: Use the Quadratic Formula.

a)

No Real Solution

b)

c)

d)

202.

What is the math notation for "each point translates to the right 4 and down 3"

a)

$\left(x,y\right)\rightarrow\left(x+4,y+3\right)$

b)

$\left(x,y\right)\rightarrow\left(x-4,y-3\right)$

c)

$\left(x,y\right)\rightarrow\left(x+4,y-3\right)$

d)

$\left(x,y\right)\rightarrow\left(x-3,\ y+4\right)$

203.

Translate the math notation into words.

$\left(x,y\right)\rightarrow\left(x,\ y-9\right)$

a)

Each point translates right 9

b)

Each point translates left 9

c)

Each point translates up 9

d)

Each point translates down 9

204.

Translate the math notation into words.

$\left(x,y\right)\rightarrow\left(x+3,\ y\right)$

a)

Each point translates right 3

b)

Each point translates left 3

c)

Each point translates up 3

d)

Each point translates down 3

205.

Describe the reflection that occurred between AGRW and A'G'R'W' using coordinate notation.

a)

( x , y ) $\rightarrow$ ( x , -y )

b)

( x , y ) $\rightarrow$ ( y , -x )

c)

( x , y ) $\rightarrow$ ( y , x )

d)

( x , y ) $\rightarrow$ ( -x , y )

206.

Describe the dilation that occurred between DEFG and D'E'F'G' using coordinate notation.

a)

( x , y ) $\rightarrow$ ( 2x , 2y )

b)

( x , y ) $\rightarrow$ ( x + 2 , y + 2 )

c)

( x , y ) $\rightarrow$ ( $\frac{1}{2}$ x , $\frac{1}{2}$ y )

d)

( x , y ) $\rightarrow$ ( 2y , 2x )

207.

Describe the rotation that occurred between A ( 2 , 3 ) and A' ( 3 , -2 ) using coordinate notation.

a)

( x , y ) $\rightarrow$ ( y , -x )

b)

( x , y ) $\rightarrow$ ( -y , x )

c)

( x , y ) $\rightarrow$ ( -y , -x )

d)

( x , y ) $\rightarrow$ ( -x , -y )

208.

Find the point A' if A ( 7 , 9 ) was transformed by ( x , y ) $\rightarrow$ ( 2x , 2y ).

a)

( 14 , 18 )

b)

( 9 , 11 )

c)

( 3.5 , 4.5 )

d)

( 5 , 7 )

209.

What is the vertex?

y= ( x - 7 ) ²- 5

a)

( 7,-5)

b)

(-7 ,-5)

c)

( 7, 5 )

d)

9 -7,5)

210.

A parabola has a vertex at (-3,2).
Where is the axis of symmetry?

a)

y = -2

b)

x = 3

c)

x = -3

d)

y = 2

211.

Identify the vertex and whether the graph opens up or down.

a)

(5, 2)

b)

opens up

c)

(-5, 2)

d)

(-5, 2) opens down

212.

Given the equation y = -(x-4)²-3,
does this parabola have a maximum or minimum value?

a)

Maximum

b)

Minimum

213.

Which equation(s) is/are in Vertex Form?

a)

$y\ =\ 3x^2-x+10$

b)

$y=\left(x+2\right)^2-4$

c)

$y\ =\ \left(x-1\right)\left(x+2\right)$

d)

$y=\frac{1}{4}\left(x-3\right)^2+15$

e)

$y=12\ +6x^2$

214.

Which graph could match the equation below?

y=2\left(x+3\right)^2+3

a)

b)

c)

d)

215.

Which of the following describes the sequence of transformations shown?

a)

Reflection, then a rotation.

b)

Rotation, then a translation.

c)

Reflection across the x-axis, then a reflection across the y-axis.

d)

Translation, then a rotation.

216.

Which sequence of transformations will map PQRT to its image P'Q'R'T'?

a)

A translation, then a reflection over the y-axis.

b)

A reflection over the x-axis, then a translation.

c)

A rotation 90^oclockwise, then a reflection over the x-axis.

d)

A rotation 180^oclockwise, then a reflection over the y-axis.

217.

Which is a correct congruence statement.

a)

A

b)

B

c)

C

d)

D

218.

If two figures are similar, the corresponding angles are ____.

a)

Congruent

b)

Supplementary

c)

Proportional

d)

Different

219.

How does a dilation change the angles of a polygon?

a)

It changes by the scale factor.

b)

Dilations do not change the angles.

c)

It is impossible to answer this question. The angles change unpredictably.

d)

The angles all change to larger angles.

220.

If two figures are similar, the corresponding sides are ______________.

a)

equal

b)

congruent

c)

proportional

d)

none of these

221.

The two triangles are similar. Solve for X.

a)

2 ft

b)

3 ft

c)

4 ft

d)

6 ft

222.

Tell whether the two figures are congruent or similar.

a)

Congruent, because their corresponding sides are the same.

b)

Congruent, because their corresponding sides are proportional.

c)

Similar, because their corresponding sides are the same.

d)

Similar, because their corresponding sides are proportional.

e)

They are not congruent or similar.

223.

Tell whether the two figures are congruent or similar.

a)

Congruent, because their corresponding sides are the same.

b)

Congruent, because their corresponding sides are proportional.

c)

Similar, because their corresponding sides are the same.

d)

Similar, because their corresponding sides are proportional.

e)

They are neither congruent or similar.

224.

If ∆LMK ≅ ∆LMT, then
∠K ≅ ____

a)

T

b)

∠T

c)

∠M

d)

∠L

225.

If $\Delta CDE\cong\Delta PQR$ then, $EC\cong$

a)

$PQ$

b)

$QR$

c)

$RP$

d)

$CE$

226.

Which triangle congruence theorem can be used to prove the triangles are congruent?

a)

SAS

b)

SSS

c)

ASA

d)

HL

227.

Which triangle congruence theorem can be used to prove the triangles are congruent?

a)

SSS

b)

ASA

c)

AAS

d)

SAS

228.

Which triangle congruence theorem can be used to prove the triangles are congruent?

a)

AAS

b)

SSS

c)

SAS

d)

SSA

229.

Name the postulate that makes the triangles congruent.

a)

SAS

b)

ASA

c)

AAS

d)

SSS

230.

The image (x,y) after a rotation of $270\degree$

(a)

231.

The image ( 2,3) after T_2,1

(a)

232.

The image ( -1,5) after T_-3,-2

(a)

233.

A translation moves point A (4,-2) onto A' ( 0,2) what is the rule?

(a)

234.

When you translate, (x-4,y) will move _____.

a)

4 units right

b)

4 units left

c)

4 units up

d)

4 units down

235.

Which is a rule for a reflection over the x-axis?

a)

$f\left(x,y\right)=\left(x,-y\right)$

b)

$f\left(x,y\right)=\left(-x,y\right)$

c)

$f\left(x,\ y\right)=\ \left(-y,\ x\right)$

d)

$f\left(x,\ y\right)=\ \left(y,-\ x\right)$

236.

What does the rule $f\left(x,y\right)=\left(x-6,y+4\right)$ tell you to do?

a)

Translate right 6 & up 4

b)

Translate left 6 & up 4

c)

Translate right 6 & down 4

d)

Translate left 6 & down 4

237.

What is the rule for the following reflection?

a)

Reflection across y = 3

b)

Reflection across x = −3

c)

Reflection across x = 3

d)

Reflection across y = −3

238.

State the line of reflection

a)

x = 2

b)

y = - 1

c)

y = 2

d)

x = - 2

239.

What is the rule for the following reflection?

a)

Reflection across y = −1

b)

Reflection across y = 1

c)

Reflection across x = −1

d)

Reflection across x = 1

240.

The point ( -2,5) is reflected over the line x = 1. Find its image.

a)

( 4, 5)

b)

( -2 , -5)

c)

( 2 , 5)

d)

(2 , -5)

241.

Graph the image of the figure using the transformation given.

a)

a

b)

b

c)

c

d)

d

242.

Identify the rule after a 90° counter clockwise rotation:
(x, y) ---> ___________

a)

( y, -x)

b)

( -y, x)

c)

( -x, -y)

d)

( y, -x)

243.

Identify the rule after a 90° CLOCKWISE rotation:
(x, y) ---> ___________

a)

( x, -y)

b)

( y , -x)

c)

( -y, x)

d)

( -x, -y)

244.

Identify the rule after a 180° CLOCKWISE or COUNTER CLOCKWISE
(x, y) ---> ___________

a)

( -x, -y)

b)

( -y, x)

c)

( -x, y)

d)

(y, -x)

245.

Identify the rule after a 270° COUNTER CLOCKWISE rotation:(x, y) ---> ___________

a)

( y, x)

b)

( y, -x)

c)

( -x, -y)

d)

( x, y)

246.

Identify the rule after a 270° CLOCKWISE rotation:
(x, y) ---> ___________

a)

(y, -x)

b)

( -x, -y)

c)

(-y, x)

d)

( y, x)

247.

Chose the correct transformation:
(x, y) ----- (-x, -y)

a)

180 degree rotation

b)

270 degree rotation

c)

90 degree clockwise rotation

d)

90 degree counter clockwise rotation

248.

Rotate the point (-3,-4) around the origin 180 degrees. State the image of the point.

a)

(-4,-3)

b)

(-4,3)

c)

(4,-3)

d)

(3,4)

249.

Rotate K (7, 8) around the origin 90° counterclockwise. State the image of K'.

a)

K' (-7, -8)

b)

K' (8, -7)

c)

K' (-8, 7)

d)

K' (8, 7)

250.

What is the image of S (2, -5) after a rotation of 90° clockwise about the origin?

a)

S' (-5, -2)

b)

S' (5, -2)

c)

S' (-2, 5)

d)

S' (5, 2)

251.

What is the image of M (4, -8) after a rotation 270° clockwise?

a)

M' (-8, 4)

b)

M' (8, 4)

c)

M' (-4, -8)

d)

M' (-8, -4)

252.

What is the image of M (3,2) after a rotation 270° counterclockwise?

a)

M' (-2, -3)

b)

M' (-2, 3)

c)

M' (2, -3)

d)

M' (-3, -2)

253.

Rotate the point (5,5) around the origin 180 degrees. State the image of the point.

a)

(5,-5)

b)

(5,5)

c)

(-5,5)

d)

(-5,-5)

254.

The red triangle represents what type of rotation:

a)

180° Clockwise

b)

90° Clockwise

c)

90° Counter Clockwise

d)

270° Clockwise

255.

The red triangle represents what type of rotation:

a)

180° Clockwise or counter clockwise

b)

90° clockwise

c)

90° counter clockwise

NCM2 Quiz Question Bank

Total questions: 255

Worksheet time: 19hrs 4mins

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