Free Printable 1st Semester Exam Review

1.

Alternate exterior angles are outside of the parallel lines and on opposite sides of the ...

a)

angle

b)

measurement

c)

transversal

d)

vertex

2.

Alternate interior angles are on the ________ of the parallel lines but on opposite sides of the transversal.

a)

Outside

b)

Inside

c)

Opposite

d)

Vertex

3.

Which angle is a vertical angle to with $\angle7$ ?

a)

$\angle1$

b)

$\angle5$

c)

$\angle3$

d)

$\angle6$

e)

$\angle9$

4.

2) Given the following two parallel lines cut by a transversal.

Which pair of angles represents corresponding angles?

a)

$\angle1$ and $\angle6$

b)

$\angle6$ and $\angle5$

c)

$\angle7$ and $\angle8$

d)

$\angle4$ and $\angle8$

5.

11) Given the two parallel lines cut by a transversal,

What is the measure of $\angle4$ if $m\angle8=76\degree$ ?

(a)

6.

Which pair of angles must be supplementary so that r is parallel to s?

a)

∠2 and ∠3

b)

∠5 and ∠6

c)

∠4 and ∠10

d)

∠6 and ∠14

7.

What value of x proves that line p is parallel to line r?

a)

14

b)

12.5

c)

15

d)

25

8.

4) Given the following two parallel lines cut by a transversal.

Which pair of angles represents alternate exterior angles?

a)

$\angle4$ and $\angle8$

b)

$\angle7$ and $\angle5$

c)

$\angle1$ and $\angle2$

d)

$\angle6$ and $\angle5$

9.

Which pair of angles is an example of corresponding angles?

a)

$\angle1\ and\ \angle8$

b)

$\angle3\ and\ \angle7$

c)

$\angle4\ and\ \angle5$

d)

$\angle2\ and\ \angle5$

10.

Which pair of angles is an example of consecutive interior angles?

a)

$\angle1\ and\ \angle8$

b)

$\angle3\ and\ \angle7$

c)

$\angle4\ and\ \angle5$

d)

$\angle2\ and\ \angle5$

11.

Which pair of angles is an example of alternate interior angles?

a)

$\angle1\ and\ \angle8$

b)

$\angle3\ and\ \angle7$

c)

$\angle4\ and\ \angle5$

d)

$\angle2\ and\ \angle5$

12.

Which pair of angles is an example of alternate exterior angles?

a)

$\angle1\ and\ \angle8$

b)

$\angle3\ and\ \angle7$

c)

$\angle4\ and\ \angle5$

d)

$\angle2\ and\ \angle5$

13.

Find $m\angle1.$

a)

$180\degree$

b)

$65\degree$

c)

$115\degree$

14.

Find $m\angle2.$

a)

$65\degree$

b)

$180\degree$

c)

$115\degree$

15.

Identify the property of equality.
If 9=x, then x=9

a)

Reflexive

b)

Symmetric

c)

Transitive

d)

Substitution

16.

Identify the property used here:
39=39

a)

Reflexive

b)

Symmetric

c)

Transitive

d)

Substitution

17.

Simplify the expression with the distributive property
6(x + 3)

a)

6x + 3

b)

6x + 18

c)

x + 3

d)

9x

18.

What is always the 1st statement in reason column of a proof?

a)

Prove

b)

Given

c)

Reason

d)

Statement

19.

Step 2 is what

a)

Substitution property (simplify)

b)

Multiplication property of equality

c)

Division property of equality

d)

Distributive Property

20.

What is step 4

a)

Substitution property (simplify)

b)

Addition property of equality

c)

Subtraction property of equality

21.

What is step 6

a)

Subtraction property of equality

b)

Addition property of equality

c)

Division property of equality

22.

Step 1 is what

a)

addition property of equality

b)

given

c)

subtraction property of equality

d)

prove

23.

What is reason 2?

a)

Addition Property of Equality

b)

Subtraction Property of Equality

c)

Multiplication Property of Equality

d)

Division Property of Equality

24.

What are the missing numbers in this pattern?
23, 33, ___, 53, ___, 73

a)

32, 62

b)

42, 63

c)

43, 63

d)

42, 62

25.

2x + 6 = 14

a)

x = 4

b)

x = 10

c)

x = -4

d)

x = 3

26.

Solve 3x - 7 = 32

a)

13

b)

-13

c)

12

d)

-12

27.

What is reason 2?

a)

Addition Property of Equality

b)

Subtraction Property of Equality

c)

Multiplication Property of Equality

d)

Division Property of Equality

28.

a)

100°

b)

80°

c)

90°

d)

180°

29.

a)

100°

b)

80°

c)

90°

d)

180°

30.

a)

100°

b)

80°

c)

90°

d)

180°

31.

What are complementary angles?

a)

Angles that add up to 180°

b)

Angles that add up to 90°

c)

Angles that are equal to each other

d)

Angles that are opposite of each other when lines intersect.

32.

What are supplementary angles?

a)

Angles that add up to 180°

b)

Angles that add up to 90°

c)

Angles that are equal to each other

d)

Angles that are opposite of each other when lines intersect

33.

What are vertical angles?

a)

Angles that are adjacent to each other

b)

Angles that add up to 180°

c)

Angles that are opposite of each other when lines intersect

d)

Angles that add up to 90°

34.

If angle ∠ABD is 67°. What is ∠DBC?

a)

180°

b)

90°

c)

67°

d)

23°

35.

Which are pairs of vertical angles?

a)

∠COB & ∠COA

b)

∠AOD & ∠AOC

c)

∠COB & ∠AOD

d)

∠BOD & ∠AOD

36.

If ∠COB is 124°, then what is ∠BOD? How are they related?

a)

56°, they are supplementary

b)

90°, they are complementary

c)

124°, they are vertical

37.

Find the value of x

a)

-5

b)

28

c)

19

d)

-3

38.

a)

2x-6=7x+4

b)

2x-6+7x+4=90

c)

2x-6+7x+4=180

d)

2x-6+7x+4=360

39.

a)

2x-6=7x+4

b)

2x-6+7x+4=90

c)

2x-6+7x+4=180

d)

2x-6+7x+4=360

40.

Name the relationship: complementary, linear pair, vertical, or adjacent

a)

A

b)

B

c)

C

d)

D

41.

Find the length indicated.

(a)

42.

Find the length indicated.

(a)

43.

Find the length indicated.

(a)

44.

Write an equation that correctly models the lengths shown.

a)

2x + 20 + x + 21 = 9

b)

2x + 20 + 9 = x + 21

c)

9 + x + 21 = 2x + 20

d)

2x + 20 - 9 = x + 21

45.

Find the indicated length.

(a)

46.

Write an equation that correctly models the lengths shown.

a)

3x + 2 + 6 = 2x - 2

b)

2x - 2 + 6 = 3x + 2

c)

6 - 3x - 2 = 2x - 2

d)

2x + 2 + 3x + 2 = 6

47.

Write an equation that could be used to relate the lengths of the segments shown.

a)

8 + x + 3 = -17 + 2x

b)

x + 3 + -17 + 2x = 8

c)

8 + -17 + 2x = x + 3

48.

Write an equation that could be used to relate the lengths shown.

a)

4 + 3x + 2 = 7x - 2

b)

7x - 2 + 4 = 3x + 2

c)

7x - 2 + 3x + 2 = 4

49.

Write an equation that could be used to relate the lengths of the segments shown.

a)

9 - x = 2x - 19

b)

9 + x = 2x -19

c)

x + 2x - 19 = 9

d)

9 + 2x - 19 = x

50.

Part of a line that has a beginning, but no end is called a...

a)

line segment

b)

ray

c)

angle

d)

plane

51.

A flat surface is called a...

a)

plane

b)

line

c)

point

d)

ray

52.

Part of a line that has a beginning and an end is called a...

a)

ray

b)

plane

c)

angle

d)

line segment

53.

Find measurement for QT.

a)

10

b)

6

c)

-10

d)

2

54.

Find measurement for QS.

a)

7

b)

4

c)

3

d)

1

55.

What direction is an undefined slope?

a)

horizontal

b)

vertical

56.

Are these two lines parallel, perpendicular or neither?
y = -1/3x - 5
y = 1/3x + 2

a)

Parallel

b)

Perpendicular

c)

Neither

57.

A line is perpendicular to y = 2x - 7.
What is the slope of this line?

a)

-2

b)

1/2

c)

-1/2

d)

2

58.

Are the lines parallel, perpendicular, or neither?

a)

Parallel

b)

Perpendicular

c)

Neither

59.

Write an equation for a line parallel to the line
y = 1/3x - 4 through (-3, 2)

a)

y = 2/3x +3

b)

y = -1/3x + 3

c)

y = 1/3x + 3

d)

y = -5/3x + 3

60.

Two lines that are parallel will have ...

a)

Slope that is opposite reciprocals

b)

No slope

c)

Slope that is the same

d)

none of the above

61.

Two lines that are perpendicular lines have ...

a)

Slope that is opposite reciprocals

b)

No Slope

c)

Slope that is the same

d)

none of the above

62.

What slope is perpendicular to:
m = 5/8

a)

-5/8

b)

5/8

c)

-8/5

d)

8/5

63.

What slope is parallel to:
m = 3/4

a)

4/3

b)

3/4

c)

-3/4

d)

-4/3

64.

A line is perpendicular to y = 2x - 7.
What is the slope of this line?

a)

-2

b)

1/2

c)

-1/2

d)

2

65.

Which of these represents point-slope form of a linear equation?

a)

y - y₁ = m(x - x₁)

b)

Ax + By = C

c)

y = mx + b

d)

y=kx

66.

Which of these represents slope-intercept form of a linear equation?

a)

y - y₁ = m(x-x₁)

b)

Ax + By = C

c)

y = mx + b

d)

y=kx

67.

Which of these represents standard form of a linear equation?

a)

y - y₁ = m(x-x₁)

b)

Ax + By = C

c)

y = mx + b

d)

y=kx

68.

For the equation
y - 3 = 2(x + 4),
the line has a slope of 2 and contains what point?

a)

(-4, 3)

b)

(3, -4)

c)

(-3, -4)

d)

(-4, -3)

69.

For the equation
y + 1 = -3 (x - 5),
the line contains the point (5, -1) and has a slope of?

a)

-1

b)

1

c)

-3

d)

5

70.

Write the equation in point-slope form of the line that passes through the given point and has the given slope.
(4, -7); m = -1/4

a)

y +7 = -1/4(x - 4)

b)

y - 4 = -1/4(x + 7)

c)

y + 4 = -1/4(x - 7)

d)

y - 7 = -1/4(x - 4)

71.

Write the equation in point-slope form for the line that contains the points
(-2, -3), (4, 3)

a)

y - 3 = 1(x - 2)

b)

y + 3 = 1(x + 2)

c)

y -3 = -1(x + 2)

d)

y + 3 = -1(x - 2)

72.

For the equation
y - 4 = -1/3(x - 7),
what are the coordinates for the point?

a)

(4, 7)

b)

(-7, - 4)

c)

(7, 4)

d)

(-4, -7)

73.

Write the equation of a line parallel to the one pictured through the point (3,1) in point slope form.
(HINT: PARALLEL LINES HAVE THE SAME SLOPE)

a)

y - 1 = 1/2(x - 3)

b)

y + 1 = 1/2(x + 3)

c)

y - 1 = - 1/2(x - 1)

d)

y + 1 = - 1/2(x + 3)

74.

Write the equation of a line perpendicular to the one pictured through the point (3,1) in point slope form.
(HINT: PERPENDICULAR LINES - FLIP AND SWITCH)

a)

y - 1 = 1/2 (x - 3)

b)

y + 1 = 2 (x + 3)

c)

y - 1 = - 1/2 (x - 1)

d)

y - 1 = - 2 (x - 3)

75.

Write an equation in slope-intercept form that has m = 5/4 through (-4, -3)

a)

y = 5/4x + 2

b)

y = -5/4x + 2

c)

y = 2x - 5/4

d)

y = 3/4x + 2

76.

Write an equation in slope intercept form that is parallel to y = 2x +3 and passes through the point (3, -4).

a)

y = 2x + 10

b)

y = 2x -10

c)

y = -2x -10

d)

y= -2x - 2

77.

Write an equation in slope intercept form that is perpendicular to y = -3x + 4 and passes through the point (9,5).

a)

y = 3x - 32

b)

y = -3x + 22

c)

y = 1/3x - 8

d)

y = 1/3x + 2

78.

Write an equation that is parallel to y = 4 and passes through the point (8, -3)

a)

y = 3x - 11

b)

y = -3

c)

y = -3x

d)

y = x

79.

Write an equation in standard form that is perpendicular to y = 1/4x + 2 and passes through the origin.

a)

y = -4x - 0

b)

4x + y = 0

c)

y = 4x - 2

d)

x - 4y = 0

80.

Calculate m∠ABC.

a)

45°

b)

60°

c)

105°

d)

15°

81.

Calculate m∠DEF.

a)

180°

b)

60°

c)

120°

d)

80°

82.

Find the value of ∠A.

a)

25 degrees

b)

30 degrees

c)

35 degrees

d)

90 degrees

83.

Find $\angle HIW$ if $\angle HIJ\ =\ 164\degree$ and $\angle WIJ\ =\ 140\degree$

a)

$\angle HIW\ =\ 304\degree$

b)

$\angle HIW=16\degree$

c)

$\angle HIW=40\degree$

d)

$\angle HIW=24\degree$

84.

$\angle ECD=122\degree$ and $\angle BCE=36\degree$ . Find the measure of $\angle BCD$ .

a)

$\angle BCD=158\degree$

b)

$\angle BCD=86\degree$

c)

$\angle BCD=58\degree$

d)

$\angle BCD=144\degree$

85.

Find $\angle PSR$ if $\angle TSP=54\degree$ and $\angle TSR\ =138\degree$

a)

$\angle TSR=192\degree$

b)

$\angle TSR=84\degree$

c)

$\angle TSR=42\degree$

d)

$\angle TSR=126\degree$

86.

Solve for x if $\angle ABD=x+67$ , $\angle ABC=104\degree$ , and $\angle DBC\ =\ x+51$ .

a)

x = 53

b)

x = 37

c)

x = 7

d)

x = $-7$

87.

$\angle JKU=3x-9,\ \angle UKL=138\degree$ and $\angle JKL=15x-3$ . Solve for x.

a)

x = 49

b)

x = 9.4

c)

x = 11

d)

x = 8.3

88.

Find x if $\angle STB=x+49,\ \angle BTU=x+108$ , and $\angle STU=141\degree$ .

a)

x = $-8$

b)

x = 33

c)

x = 92

d)

x = 39

89.

(x,y) becomes (-x,y)

a)

Reflections over y-axis

b)

Reflections over x-axis

c)

Rotation of 90 CW

d)

Rotation of 180

90.

(x,y) becomes (-y,-x)

a)

Rotation of 180

b)

Rotation of 90 CCW

c)

Reflection over y=-x

d)

Reflection over x-axis

91.

(x,y) becomes (-x,-y)

a)

Reflection over y=x

b)

Reflection over y=-x

c)

Rotation of 90 CW

d)

Rotation of 180

92.

(x,y) becomes (-y,x)

a)

Rotation of 270 CW

b)

Rotation of 90 CW

c)

Reflection over y=-x

d)

Reflection over y-axis

93.

(x,y) becomes (x+3,y)

a)

Translated up 3

b)

Translated Left 3

c)

Translated Right 3

d)

Dilated by 3

94.

(x,y) becomes (x,y+3)

a)

Translated up 3

b)

Translated Left 3

c)

Translated Right 3

d)

Dilated by 3

95.

(x,y) becomes (3x,3y)

a)

Translated up 3

b)

Translated Left 3

c)

Translated Right 3

d)

Dilated by 3

96.

(x,y) becomes (-x,y)

a)

Rotated 180

b)

Reflected over x-axis

c)

Reflected over y-axis

d)

Rotated 90 Clockwise

97.

(x,y) becomes (y,x)

a)

Reflected over y=x

b)

Reflected over x-axis

c)

Reflected over y-axis

d)

Rotated 180

98.

The image shows what type of transformation?

a)

Rotation

b)

Translation

c)

Reflection

99.

What quadrant is the image now in?

a)

I

b)

II

c)

III

d)

IV

100.

What does dilation mean?

a)

a transformation that enlarges or reduces a figure

b)

a transformation that flips a figure

c)

a transformation that turns a figure

d)

a transformation that slides a figure

101.

What kind of transformation is this?

a)

Reflection

b)

Translation

c)

Rotation

102.

What kind of transformation is this?

a)

Rotation

b)

Reflection

c)

Translation

103.

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

a)

right two, down five

b)

right two, down 9

c)

left two, up 9

d)

left two, down 5

104.

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

a)

(-4, 4)

b)

(-10, 2)

c)

(-4, -5)

d)

(-1, 5)

105.

Which answer shows a reflection across the y-axis?

a)

a

b)

b

c)

c

d)

d

106.

Identify the transformation from ABC to A'B'C'.

a)

90^o clockwise rotation

b)

90^o counter clockwise rotation

c)

Reflection across the y-axis

d)

Reflection across the x-axis

107.

Identify the transformation from C to D.

a)

90^o Clockwise Rotation

b)

180^o Rotation

c)

270^o Clockwise Rotation

d)

360^o Rotation

108.

Identify the transformation from ABC to A'B'C'.

a)

(x+8, y+4)

b)

(x-8, y-4)

c)

(x+4, y+8)

d)

(x-4, y-8)

109.

Describe the transformation shown in the graph.

a)

Reflect over x-axis

b)

Reflect over y-axis

c)

Rotate 270 degrees CCW

d)

Rotate 90 degress CCW

110.

Name the image of C(6, -4) under a rotation 90 degrees counterclockwise about the origin.

a)

C'(4, 6)

b)

C'(-4, -6)

c)

C'(6, 4)

d)

C'(-6, -4)

1st Semester Exam Review

Total questions: 110

Worksheet time: 5hrs 1mins

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