Free Printable 8th GRADE EOG REVIEW GEOMETRY

1.

If the quadrilateral is translated 4 units to the left and 5 units down what is the coordinates for Point A'?

a)

(4,0)

b)

(0,4)

c)

(-1,5)

d)

(5,-1)

2.

The original photo has side lengths of 5 inches and 6 inches. He is wanting to dilate the picture by a scale factor of 2. How many total inches of wood will he need to create a frame for the new enlarged photo?

a)

22

b)

44

c)

88

d)

121

3.

Triangle CAT, with vertices C(-2, 4), A(0, -5), and T(-3, -8) was dilated to form triangle C'A'T' with vertices C'(-1.6, 3.2), A'(0, -4), and T'(-2.4, -6.4). Which scale factor was used?

a)

0.4

b)

4/5

c)

5/4

d)

0.3

4.

Which transformation does not preserve congruence?

a)

translation

b)

reflection

c)

rotation

d)

dilation

5.

What is the scale factor if Point P is at (-2, 3) and P’ is at (-8, 12)?

a)

6

b)

9

c)

8

d)

4

6.

Write a rule for the translation.

a)

(x -1, y + 2)

b)

(x -2, y + 1)

c)

(x +2, y - 1)

d)

(x +1, y - 2)

7.

Identify the transformation from ABCD to A'B'C'D'.

a)

Translation

b)

Reflection across the y-axis

c)

Reflection across the x-axis

d)

90^o counter clockwise Rotation

8.

Point (-5,2) is reflected over the y axis. Where is the new point located?

a)

(5,2)

b)

(-5,-2)

c)

(-5,2)

d)

(5,-2)

9.

The result of a transformation.

a)

Pre-image

b)

Image

10.

How many degrees was the figure rotated?

a)

90 degrees counterclockwise

b)

180 degrees

c)

90 degrees clockwise

11.

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)

12.

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

a)

Reflection across the x-axis

b)

Reflection across the y-axis

c)

90^o clockwise rotation

d)

90^o counterclockwise rotation

13.

To dilate by 1/2, what can you do?

a)

Multiply by -1

b)

Multiply by 2

c)

divide by 2

d)

divide by 1/2

14.

a transformation that changes the size of a figure, but not the shape

a)

translation

b)

rotation

c)

reflection

d)

dilation

15.

Triangle ABC has been dilated to triangle A'B'C'. What is the scale factor?

a)

2

b)

3

c)

4

16.

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

a)

(-5, 5)

b)

(-3, -5)

c)

(-5, 3)

d)

(-3, 3)

17.

Is the picture being reflected in the y-axis or x-axis?

a)

y-axis

b)

x-axis

18.

How many degrees was the figure rotated?

a)

90 degrees counterclockwise

b)

180 degrees

c)

270 counterclockwise

d)

90 degrees clockwise

19.

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

a)

½

b)

¼

c)

4

d)

2

20.

A dilation is which of the following:

a)

An enlargement

b)

A reduction

c)

Either an enlargement or a reduction

d)

Neither an enlargement or a reduction

21.

State the coordinate of the image of the given point B (-10,-6) under a dilation with center at the origin with the given scale factor k = 1/2.

a)

(5,3)

b)

(20,12)

c)

(-20,-12)

d)

(-5,-3)

22.

State the coordinate of the image of the given point B (4,9) under a dilation with center at the origin with the given scale factor k = 2.

a)

(2,4.5)

b)

(-8,-18)

c)

(8,18)

d)

(9,4)

23.

How is triangle ABC being translated to triangle A'B'C'?

a)

up 3, left 8

b)

up 9, left 4

c)

down 3, right 8

d)

down 9, right 4

24.

What Transformation is visible?

a)

Reflection

b)

Translation

c)

Rotation

d)

Dilation

25.

A triangle has vertices with coordinates (2,0), (3, -1) and (-2,-5). If the triangle is dilated by a scale factor of 3 with the origin as the center of dilation, what are the coordinates of the vertices of the image?

a)

(5,3), (6,2), (1,-2)

b)

(6,0), (9,-3), (-6,-15)

c)

(2/3,0), (1,-1/3), (-2/3,-5/3)

d)

(-1,-3), (0,-4), (-5,-8)

26.

Does the image show a Dilation?

a)

Yes

b)

No

27.

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)

28.

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

29.

Where would A' be if you translated A 3 units to the right and 4 units down?

a)

(-4, 4)

b)

(-1, 0)

c)

(0, -1)

30.

The original figure prior to a transformation.

a)

Pre-image

b)

Image

31.

The result of a transformation.

a)

Pre-image

b)

Image

32.

If you were to rotate ABCD 90° counterclockwise about the origin, what would the coordinate of A' be?

a)

(-5, 5)

b)

(-3, 5)

c)

(-5, 3)

d)

(-3, 3)

33.

Reflect the point (2, -4) over the y-axis.

a)

(-4, 2)

b)

(-2, 4)

c)

(-2, -4)

d)

(2, 4)

34.

Reflect (6, -3) over the line x-axis.

a)

(6, 3)

b)

(-6, -3)

c)

(-3, 6)

d)

(3, -6)

35.

Identify the transformation from ABCD to A'B'C'D'.

a)

Translation

b)

Reflection across the y-axis

c)

Reflection across the x-axis

d)

90^o counter clockwise Rotation

36.

Click each choice that shows why the sum of the angles XYZ is $180\degree$

a)

$180\degree$ is the sum of angles a,b,and c. They are supplementary angles because they form a straight line.

b)

Angles y,b,and z must have a sum of undefined because angles a,b,and c are supplementary and y =a and z=c so angles y,b,and z are also supplementary.

c)

Because angle b is shared by both the straight line and the triangle.

d)

Angle z is equal to angle c because they are alternate interior angles. Angle a is equal to angle y because they are alternate interior angles

e)

Angle y is equal to angle a because they are alternate interior anlgles

37.

chose 1 answer

a)

40 + 90

b)

x = 90

c)

90 + x = 40

d)

40 - x = 90

38.

a)

a = 45 b = 50

b)

a = 45 b = 85

c)

a = 50 b = 85

d)

a = 75 b = 75

39.

a)

they are similar

b)

they are congruent

c)

they are both right triangles

d)

they have only 2 congruent angles

e)

If 2 angles are congruent then all are congruent

40.

What is the sum of the interior angles of all triangles?

(a)

41.

$\angle1\ =\ 45\degree$ what is the measure of angle 4 and how do you know?

a)

angle 4 = 45 because they are adjacant angles

b)

angle 4 = 45 because they are vertical angles

c)

angle 4 = 45 because they are alternate angles

d)

angle 4 = 50 because they are not congruent

42.

$\angle1\ and\ \angle8$ are what type of angles?

a)

corresponding angles

b)

adjacent angles

c)

alternate interior angles

d)

alternate exterior angles

43.

$\angle4\ and\ \angle5\$ are _______ __________ angles

a)

alternate exterior

b)

alternate interior

c)

same side

d)

not equal

44.

$\angle7\ and\ \angle8$ are _______ angles

a)

opposite

b)

adajacent

c)

vertical

d)

alternate

45.

$\angle5\ and\ \angle6$ are ______ angles

a)

opposite

b)

adjacent

c)

vertical

d)

congruent

e)

supplementary

46.

$\angle1$ and $\angle2$ are ___.

a)

Alternate Interior Angles

b)

Alternate Exterior Angles

c)

Same-side Interior Angles

d)

Corresponding Angles

e)

None of these

47.

This is what kind of angle?

a)

obtuse

b)

right

c)

straight

d)

acute

48.

Vertical angles are always

a)

acute

b)

total 180 degrees

c)

congruent (equal measures)

d)

adjacent angles

49.

Supplementary angles always add up to

(a)

50.

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

a)

$\angle1$

b)

$\angle5$

c)

$\angle3$

d)

$\angle6$

e)

$\angle9$

51.

1) Given the two parallel lines cut by a transversal.

What is the vertical angle to angle 4?

a)

Angle 2

b)

Angle 6

c)

Angle 8

d)

Angle 7

52.

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 $\angle8$

53.

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

Which pair of angles represents alternate interior angles?

a)

$\angle3$ and $\angle8$

b)

$\angle7$ and $\angle2$

c)

$\angle7$ and $\angle8$

d)

$\angle4$ and $\angle8$

54.

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 $\angle5$

55.

5) True or False.

If the following parallel lines are cut by a transversal, would

\angle2

and

\angle6

be corresponding?

a)

True

b)

False

56.

7) Given the following two parallel lines that have been cut by a transversal.

True or False, $\angle6$ and $\angle4$ are vertical angles?

a)

True

b)

False

57.

8) Given the following two parallel lines that have been cut by a transversal.

$\angle1$ and which angle make up Alternate Interior angles?

a)

\angle2

b)

$\angle6$

c)

$\angle5$

d)

$\angle3$

58.

9) Given the following two parallel lines that have been cut by a transversal.

Choose all the options that represent corresponding angles.

a)

\angle5

and

\angle3

b)

$\angle3$ and $\angle8$

c)

$\angle2$ and $\angle7$

d)

$\angle6$ and $\angle4$

59.

10)Given the two parallel lines cute by a transversal,

What is the measure of $\angle5$ ?

(a)

60.

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

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

(a)

61.

What is the relationship of the angles

a)

Alternate Interior

b)

Alternate Exterior

c)

Corresponding

d)

Vertical

62.

What is the relationship of the Angles

a)

Alternate Interior

b)

Alternate Exterior

c)

Corresponding

d)

Same Side Interior

63.

What is the Angle Relationship?

a)

Alternate Interior

b)

Alternate Exterior

c)

Corresponding

d)

Same Side Interior

64.

What is the Angle Relationship?

a)

Alternate Interior

b)

Alternate Exterior

c)

Corresponding

d)

Vertical

65.

What is the Angle Relationship

a)

Alternate Interior

b)

Alternate Exterior

c)

Corresponding

d)

Same Side-Interior

66.

What is the value of x?

a)

27

b)

72

c)

108

d)

153

67.

Solve for y.

a)

y = 20

b)

y = 120

c)

y = 60

d)

y = 10

68.

Given the two parallel lines cut by a transversal.

What is the vertical angle to angle 4?

a)

Angle 2

b)

Angle 6

c)

Angle 8

d)

Angle 7

69.

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 $\angle8$

70.

Given the following two parallel lines cut by a transversal.

Which pair of angles represents alternate interior angles?

a)

$\angle3$ and $\angle8$

b)

$\angle7$ and $\angle2$

c)

$\angle7$ and $\angle8$

d)

$\angle4$ and $\angle8$

71.

If m∠1 = 30°, then m∠3 =

a)

30°

b)

60°

c)

150°

d)

undetermined

72.

Identify the angle relationship.

a)

Alternate Exterior Angles

b)

Alternate Interior Angles

c)

Same Side Interior Angles

d)

Corresponding Angles

73.

Angle 1 = 27^oFind the measure of angle 4

a)

27^o

b)

153^o

c)

63^o

d)

90^o

74.

Which angle is same side exterior to $\angle1$ ?

a)

$\angle8$

b)

$\angle2$

c)

$\angle3$

d)

$\angle4$

75.

Check all the angles that are supplementary to $\angle6$

a)

$\angle1$

b)

$\angle2$

c)

$\angle3$

d)

$\angle4$

e)

$\angle5$

76.

Which of the following statements about the relationship between angle 4 and 3 is NOT TRUE

a)

They are supplementary

b)

They are on the same side of the transversal

c)

They are between the parallel lines

d)

They are same-side exterior angles

e)

None, all of these statements are true

77.

Which angle corresponds to angle 8?

a)

$\angle1$

b)

$\angle7$

c)

$\angle6$

d)

$\angle2$

e)

None of these correspond to angle 8

78.

What is the value of "x"?

a)

19

b)

20

c)

21

d)

22

79.

Angle 1 is supplementary to which of the following angles

a)

$\angle3$

b)

$\angle5$

c)

$\angle6$

d)

$\angle2$

e)

None of the angles are supplemetary to Angle 1

80.

Which of the following statements about angle 4 is NOT TRUE

a)

It corresponds with angle 2

b)

It is on the same side of the transversal as angle 3

c)

It is supplementary to angle 7

d)

It has the same measure as angle 8

e)

None of these statements are false

8th GRADE EOG REVIEW GEOMETRY

Total questions: 80

Worksheet time: 2hrs 43mins

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