Free Printable Geometry Semester 1 Game Board Review

Worksheets

Geometry Semester 1 Game Board Review

Total questions: 75

Worksheet time: 6hrs 15mins

Name

Class

Date

In what quadrilaterals do the diagonals bisect each other?

Parallelogram, rectangle, rhombus, and square.

Square, Rectangle, Triangle

Triangle, Hexagon, Pentagon

Rhombus, Triangle, Hexagon

What property do the diagonals of kites have?

They are parallel

They are similar kites

They are perpendicular

They have no diagonals

What is the midpoint between endpoints (-6,-8) and (5,3)

(-0.5,-2.5)

(0.5, -2.5)

(-2.5, -0.5)

(-2.5, 0.5)

The midpoint of the line CD is (4,8). If point C is (8,3), what are the coordinates of Point D?

(13, 0)

(-13, 0)

(-0,-13)

(0,13)

$\left(8x^2-7x+8\right)-\left(4x^2-3x+3\right)$

There is no correct answer

$4x^2-4x+5$

$-4x^2+4x-5$

Both answers are right

If A = x + 6 and B = $x^2-4x+5$ , find an expression that equals B - A in standard form.

$-x^2+5x+1$

$x^2-5x+1$

$x^2-5x-1$

None of the above

Expand this polynomial into standard form: (4x + 3)(x^2 + 6x - 6)

4x^3 + 27x^2 - 6x -+18

4x^3 -27x^2 -+6x -18

4x^2 + 27x^2 - 6x - 18

4x^3 + 27x^2 - 6x - 18

Use long division to solve this expression: 2x^3 - x^2 - 7x - 4 divided by x - 1.

2x^3 + x+6 - 10/x-1

2x^2 + x - 6 - 10/x-1

2x^2 + x +6 +10/x+1

None of the above

Use synthetic division to solve this expression: 2x^4 - 6x^3 - x^2 + 11x - 2 divided by x - 2.

2x^3 - 2x^2 - 5x + 3

2x^3 +2x^2 + 5x + 1

2x^4 - 2x^2 - 5x -1

2x^3 - 2x^2 - 5x + 1

10.

The image of Point A after a translation right 4 units and up 2 units is point B (1,-3). What is the pre-image of Point A?

(-3, -5)

(3, 5)

(-3, 5)

(-5, -3)

11.

What is the image point of (-6,-4) after the transformation T-4,-1 o r y=-x?

(0, -5)

(0, 5)

(-5, 0)

(5, 0)

12.

If a point at (7,-9) is translated up 5 units, what is the new image?

(-7, -4)

(-7, 4)

(7,-4)

(7, 4)

13.

What is the image of the point (-9,-1) after a rotation 270༠ counterclockwise about the origin?

(1, 9)

(-1, -9)

(-1,9)

(9, -1)

14.

How many lines of symmetry does a square have?

15.

What is the rotational symmetry of a square?

16.

What is the degree of rotation of a square?

$90\degree$

$180\degree$

$270\degree$

$360\degree$

17.

What is the perimeter of a rectangle with dimensions of 8a and 13b?

16a-26b

-16a+26b

16a + 26b

-16a-26b

18.

Subtract (-3x - 2) from (6x^2 - 4x + 9)

6x^2 - x -11

-6x^2 - x -11

9x^2 - x + 11

6x^2 - x + 11

19.

Express as a trinomial: (x + 3)(3x + 10)

3x^2 + 19x - 30

3x^2 + 19x + 30

3x^2 -19x - 30

3x^3 + 19x + 30

20.

Find the midpoint of a segment with the following endpoints: (9,8) and (5,1).

(-7, -4.5)

(7, -4.5)

(-7, 4.5)

(7, 4.5)

21.

Use synthetic division to find the result when (x^3 + 3x^2 - 6x + 20) is divided by (x + 5). Choose the correct answer.

x^3-2x-4

x^2+2x-4

x^2 - 2x + 4

x^2+2x+4

22.

Use the long division method to find the result when (6x^3 + 19x^2 + 10x + 1) is divided by (2x + 1).

3x^3+8x-1

3x^2 -8x -1

3x^2 -8x + 1

3x^2 + 8x + 1

23.

If Point A on a graph was (-3.2), what would the coordinates of A’ be when A is turned 90࿀ clockwise?

(2, 3)

(-2,-3)

(2, -3)

(-3, -2)

24.

Solve this polynomial equation: (x + 12) + (4x^2 + 6x - 3)

4x^2 + 7x + 9

4x^3 - 7x + 9

4x^2 - 7x - 9

4x^3 + 7x + 9

25.

If the pre-image coordinates of a triangle are A: (3,5), B: (4,2), and C: (1,1), what would be the new image coordinates if the triangle is reflected over the x-axis?

A’: (-3,-5), B’: (-4,-2), C’: (-1,-1)

A’: (-5,-5), B’: (4,-2), C’: (1,-1)

A’: (3,-5), B’: (4,-2), C’: (1,-1)

A’: (-5,3), B’: (4,-2), C’: (1,-1)

26.

Do the diagonals of a rectangle bisect opposite angles?

Yes, they do

No, they do not

I don't know

I'm not sure...maybe

27.

Point W is located at (6,4). It is then reflected over the x-axis to create Point W’, and afterwards over the y-axis to create Point W’’. What are the coordinates of W’’?

(6,4)

(-4,-6)

(6,-4)

(-6,-4)

28.

If parallel lines are cut through by a transversal, are corresponding interior angles congruent?

Yes, they are.

No, they are not.

29.

If parallel lines are cut through by a transversal, are corresponding interior angles supplementary?

No, they equal to 270°

Yes, they equal 180°.

30.

True or False: Rigid transformations fail to preserve the size and shape of figures.

True; Rigid transformations preserve size and shape.

False; Rigid transformations preserve size and shape.

31.

What is the difference between supplementary and complementary angles?

Supplementary angles equal 90° and complementary angles equal 180°.

Supplementary angles equal 180° and complementary angles equal 90°.

Supplementary angles equal 180° and complementary angles equal 180°.

There is no difference between supplementary angles.

32.

What theorem can be used to prove that the angle of an extended side in a triangle is the same as the sum of the two opposite angles?

Vertical angles

Interior angle theorem

Exterior angle theorem

Reflexive Property

33.

What does the term “adjacent angles” mean?

Two angles that share a common side and a common vertex

Two angles that are parallel.

Two angles that are the exact same.

34.

What is the image of (8,-8) after a dilation of ¼ centered at the origin?

(2,2)

(-2,2)

(2,-2)

(2,0)

35.

True or False: Similar triangles have proportional angles.

True

False

36.

True or False: Similar triangles are always congruent.

False

True

37.

Name the way to prove triangle similarity.

Look for parallel sides

Interior angles

SAS Congruence Theorem

Reflexive Property

38.

Line A’B’ is a dilated image of line AB centered at the origin. Line AB goes through the origin. What can be said about the position of line A’B’?

Line A’B’ is different as line AB.

Line A’B’ is the line opposite to line AB.

Line A’B’ is the same line as line AB.

39.

At what occurrence is a dilated line parallel to the original?

When the original line does go through the center of origin.

When the original line does not go through the center of origin.

40.

In order for two triangles to be similar, what must be true?

Corresponding sides must be proportional to each other and corresponding angles must be congruent.

Interior sides must be proportional to each other and corresponding angles must be congruent.

All the sides must be proportional to each other and corresponding angles must be congruent.

41.

Rahul is 1.45 meters tall. At 10 a.m., he measures the length of a tree's shadow to be 31.55 meters. He stands 26.7 meters away from the tree, so that the tip of his shadow meets the tip of the tree's shadow. Find the height of the tree to the nearest hundredth of a meter.

20.36 meters

9.43 meters

12.54 meters

9.24 meters

42.

A guy wire runs from the top of a cell tower to a metal stake in the ground. Arturo places an 8-foot tall pole to support the guy wire. After placing the pole, Arturo measures the distance from the stake to the pole to be 2 ft. He then measures the distance from the pole to the tower to be 21 ft. Find the length of the guy wire, to the nearest foot.

24 feet

87 feet

95 feet

12 feet

43.

For a project in his Geometry class, Chase uses a mirror on the ground to measure the height of his school’s football goal post. He walks a distance of 7.25 meters from the goalpost, then places a mirror flat on the ground, marked with an X at the center. He then walks 6.55 more meters past the mirror, so that when he turns around and looks down at the mirror, he can see the top of the goalpost clearly marked in the X. His partner measures the distance from his eyes to the ground to be 1.45 meters. How tall is the goalpost? Round your answer to the nearest hundredth of a meter.

1.6 meters

5.6 meters

0.5 meters

12.0 meters

44.

$Convert\ the\ fraction\ \frac{5\pi}{4}\ radians\ to\ \deg rees.$

$90\degree$

$225\degree$

330 $\degree$

180 $\degree$

45.

Convert the angle 2.5 radians to degrees, rounding to the nearest 10th.

140 $\degree$

143 $\degree$

143.2 $\degree$

143.239 $\degree$

46.

Convert the following angle from degrees to radians. Express your answer in simplest form.

480 $\degree$

$\frac{8\pi}{3}$

$\frac{\pi}{2}$

$\frac{3\pi}{4}$

47.

What does SAS stand for?

Side Angle Side

Super Angle Side

Same Angle Side

Side Amazing Side

48.

If the midpoint of line segment AB is point D, what reason in a proof would be given to prove that segment AD is congruent to segment BD?

Definition of right angles

Definition of midpoint

Definition of complementary angles

Definition of reflexive property

49.

What is the criteria for two triangles to be congruent by HL?

Only leg of one triangle would have to be congruent to the corresponding leg and hypotenuse of the second triangle.

The hypotenuse and leg of one triangle would have to be congruent to the corresponding leg and hypotenuse of the second triangle.

The leg and leg of one triangle would have to be congruent to the corresponding leg and leg of the second triangle.

50.

Points that lie on the same line is called what?

Collinear

Linear pair

Same line point

Linear

51.

A pair of adjacent angles whose non-common sides are opposite rays are called what?

Linear Pair

Adjacent

Parallel

52.

Two angles whose sum is 180 degrees are called what?

Complementary angles

Supplementary angles

53.

A pair of opposite congruent angles formed by intersecting lines are called what?

Outlier

Perpendicular angle

Vertical angles

Parallel lines

54.

What is the Pythagorean theorem?

$c^2+a^2=b^2$

$a^2+b^2=c^2$

$c^2+b^2=a^2$

$a^2-b^2=-c^2$

55.

Simplify the radical. $\sqrt[]{121}$

3 $\sqrt[]{4}$

56.

Find the missing angle of a right triangle if one angle is 55 $\degree$

140

57.

Simplify the radical. $\sqrt[]{147}$

$7\sqrt[]{4}$

$\sqrt[]{147}$

None are correct

58.

Find the distance between (-1,6) and (2, 8).

2.7

3.6

1/2

59.

What is this an example of? CD=DC

Transitive Property

Property of Equality

Reflexive Property

Symmetric

60.

Determine whether the line through (0,4) and (2,0) and the line through (-2,3) and (-4,2) are parallel, perpendicular, or neither.

Parallel

Perpendicular

Neither

61.

What is (7,5) reflected over the x-axis.

(5,7)

(-5, 7)

(-7,-6)

(7,-5)

62.

Cosine=?

63.

Sine=?

64.

What did we use to remember Sine, Cosine, and Tangent?

SOH-CAH-TOA

SAH-COH-TOA

SOH-CHO-TOA

CAH-SOH-TOA

65.

Describe the transformation (x,y)-- (x+4, y-6).

Reflection over the x-axis

Translation, right 4 and down 6

Translation, up 4 and left 6

Translation, left 4 and down 6

66.

If triangle ABC is congruent to triangle DEF, which segment is congruent to AC?

67.

What is the middle point of a line called?

Segment

Midpoint

Congruent

Adjacent

68.

What is the only type of triangle that has a hypotenuse?

Acute triangle

Right triangle

Obtuse triangle

69.

How many degrees are in a triangle?

180

120

360

70.

If a triangle has 2 congruent sides, what type of triangle is it?

Equilateral

Right triangle

Isosceles

Scalene

71.

Parallel lines have the ____ slope.

Negative

Different

Same

Opposite reciprocal

72.

Vertical angles are...

Supplementary

Complementary

Congruent

73.

What is the slope of the line that passes through the points (-1,0) and (3,1)?

(-1/4)

(4/1)

(1/4)

Undefined

74.

What is the midpoint between (-4,4) and (-2,2)?

(-3,-3)

(3,3)

(3,-3)

(-3,3)

75.

Reflect the point (2,-7) over the y-axis.

(-2,-7)

(2,-7)

(7,2)

(-7,2)

100 %

Geometry Semester 1 Game Board Review

Total questions: 75

Worksheet time: 6hrs 15mins

Convert the angle 2.5 radians to degrees, rounding to the nearest 10th.

Convert the following angle from degrees to radians. Express your answer in simplest form.

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