Free Printable Geometry CBA 2

1.

Write the equation of a line PERPENDICULAR to y = -2x + 1 that passes through the point (2, 3).

a)

$y=-\frac{1}{2}x+\frac{1}{2}$

b)

$y=\frac{1}{2}x+2$

c)

$y=-2x+7$

d)

$y=-2x+8$

2.

Write the equation of a line PARALLEL to y = 2x + 3 that passes through the point (3, 1).

a)

$y=2x\ -3$

b)

$y=2x-5$

c)

$y=2x\ +\ 1$

d)

$y=-\frac{1}{2}x+\frac{5}{2}$

3.

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)

4.

Use the equations given to determine if the following lines are parallel, perpendicular, neither or both.
y=4x-2
y-3=-1/4(x-8)

a)

parallel

b)

perpendicular

c)

neither parallel nor perpendicular

d)

both parallel and perpendicular

5.

Are the equations parallel, perpendicular, or neither?

a)

Parallel

b)

Perpendicular

c)

Neither

6.

Choose the correct scale factor:

a)

2

b)

3

c)

1/3

d)

1/2

7.

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

a)

½

b)

¼

c)

4

d)

2

8.

A dilation can produce a larger figure or a(n)______
use a synonym for larger

a)

reduction

b)

enlargement

c)

scale factor

d)

center of dilation

9.

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)

10.

Definition: The figure before a transformation has occurred.

a)

Pre-image

b)

Image

c)

Translation

d)

Reflection

11.

A dilation can produce a smaller figure or a(n)______
use a synonym for smaller

a)

reduction

b)

enlargement

c)

scale factor

d)

center of dilation

12.

What Transformation is visible?

a)

Translation

b)

Rotation

c)

Dilation

d)

Reflection

13.

What symbol is used to show that two things are congruent?

a)

≠

b)

≅

c)

≡

d)

=

14.

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)

15.

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)

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

16.

Describe the transformation from red to green arrow.

a)

Rotation 180 degrees clockwise

b)

translation 6 units to the right

c)

Reflection across the y-axis

d)

Rotation 90 degrees counter-clockwise

17.

Which answer shows a reflection across the y-axis?

a)

a

b)

b

c)

c

d)

d

18.

The point Z(4, -2) is rotated 180 degrees about the origin. What is the image of Z?

a)

Z'(2, 4)

b)

Z'(-4, 2)

c)

Z'(-2, -4)

d)

Z'(-4, -2)

19.

State the angle relationship and find the measure of angle 1

a)

Corresponding
110

b)

Alternate Exterior
110

c)

Corresponding
70

d)

Alternate Exterior
70

20.

State the angle relationship and find the measure of angle 1

a)

Alternate Interior
49

b)

Same Side Interior
131

c)

Same Side Interior
49

d)

Alternate Interior
131

21.

Which set of directions describes the translation from ABCD to A'B'C'D'?

a)

Down 6, left 3

b)

Down 3, right 6

c)

Up 3, left 6

d)

Up 6, right 3

22.

What similarity theorem would prove that these triangles are similar?

a)

SAS∼

b)

SSS∼

c)

AA∼

d)

Side Splitter

23.

State the postulate that proves these triangles are similar.

a)

SSS

b)

AA

c)

SAS

d)

Not similar

24.

What similarity theorem would you use to prove these triangles are similar?

a)

SAS∼

b)

SSS∼

c)

AA∼

d)

Not similar

25.

The triangles are similar, solve for the question mark.

a)

8

b)

12.5

c)

18

d)

24

26.

Find side length X.

a)

22.5

b)

10

c)

9

d)

7.5

27.

State the postulate that proves the triangles are similar.

a)

AA

b)

SAS

c)

SSS

d)

Not Similar

28.

Find side length X.

a)

16

b)

18

c)

2.4

d)

15

29.

Find the value of X.

a)

100°

b)

110°

c)

150°

d)

168°

30.

The figure is an example of a(n) ...

a)

median

b)

altitude

c)

midsegment

d)

sangle bisector

31.

The figure is an example of a(n) ...

a)

altitude

b)

perpendicular bisector

c)

midsegment

d)

angle bisector

32.

Which of the following segments represents a median?

a)

Segment BX

b)

Segment AZ

c)

Segment AC

d)

Segment BZ

33.

The figure is an example of a(n) ...

a)

angle bisector

b)

perpendicular bisector

c)

median

d)

midsegment

34.

Name the angle relationship.

a)

Alternate Interior

b)

Alternate Exterior

c)

Corresponding

d)

Vertical Angles

35.

Name the parallel segment.

a)

JH

b)

PN

c)

MP

d)

MN

36.

Find the missing length.

a)

9

b)

18

c)

4.5

d)

16

37.

What is the formula to find the sum of the interior angles of any polygon?

a)

^{(n - 2)360}

b)

180n

c)

(n-2)180

d)

((n-2)180)/n

e)

360/n

38.

Find the length of AB

a)

6

b)

11

c)

17

d)

68

39.

What is the formula to find one interior angle of a regular polygon?

a)

(n-2)180

b)

((n-2)180)/360

c)

((n-2)360)/n

d)

360/n

e)

((n-2)180)/n

40.

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

41.

What is the sum of the interior angles of the hexagon shown?

a)

180°

b)

540°

c)

720°

d)

1080°

42.

How do the interior and exterior angles of a polygon relate?

a)

They are complementary

b)

They are congruent

c)

They are supplementary

d)

They have no relationship

e)

The relationship depends on what polygon is being used

43.

State the angle relationship and find the measure of angle 1

a)

Alternate Interior
37

b)

Alternate Interior
143

c)

Corresponding
143

d)

Corresponding
37

44.

What is the formula to find one exterior angle in a regular polygon?

a)

360/n

b)

(n-2)180

c)

it's always 360^o

d)

180/n

e)

((n-2)180)/n

45.

What is the sum of the interior angles for a 24-gon?

a)

3960

b)

360

c)

15

d)

4280

46.

The following polygon is a Regular Pentagon. Find the measure of EACH EXTERIOR angle of the polygon.

a)

50°

b)

55°

c)

72°

d)

355°

47.

Find the measure of CP

(a)

48.

Find m< JKM

a)

90

b)

76

c)

38

d)

83

49.

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.

50.

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

51.

Find the value of x.

a)

17

b)

28

c)

68

d)

39.5

52.

Which are pairs of vertical angles?

a)

∠COB & ∠COA

b)

∠AOD & ∠AOC

c)

∠COB & ∠AOD

d)

∠BOD & ∠AOD

53.

Does a triangle with these side lengths exist?

15, 12, 9

a)

Yes

b)

No

c)

I don't know.

d)

Cannot be determined

54.

Identify the shortest side measure.

a)

QP

b)

QM

c)

MP

55.

Identify the smallest angle.

a)

∠A

b)

∠B

c)

∠C

56.

What is the range of values of x for a triangle's third side given side measures of 8 and 15?

a)

between 8 and 15

b)

between 7 and 23

c)

less than 7, greater than 23

57.

Identify the largest angle.

a)

∠N

b)

∠Q

c)

∠P

58.

Identify the longest side measure.

a)

LM

b)

MQ

c)

LQ

59.

What is the range of values of x for a triangle's third side given side measures of 4 and 12?

a)

between 8 and 16

b)

less than 4, greater than 12

c)

between 4 and 12

60.

Order the angles from greatest to least.

a)

a, b ,c

b)

a , c, b

c)

c , b , a

d)

b , c , a

61.

Find x.

a)

72

b)

67

c)

65

d)

54

62.

What is x?

a)

12

b)

11

c)

8

d)

6

63.

Tell whether the triangles are similar or not.

a)

a

b)

b

64.

∠U = ≅

a)

∠F

b)

∠G

c)

∠E

65.

Find the missing side using proportions.

a)

a

b)

b

c)

c

d)

d

66.

How do these triangles appear to be similar?

a)

AA

b)

SAS

c)

SSS

d)

Not Similar

67.

Find the missing length indicated.

a)

6

b)

10

c)

5

d)

12

68.

The Angle-Angle Similarity (AA ~) Theorem states if two angles of one triangle are _______________ to two angles of another triangle, then the triangles are ____________________.

a)

adjacent; equal

b)

complementary; scalene

c)

congruent; similar

d)

supplementary; isosceles

69.

Complete each proportion.
AB / BM = ? / CD

a)

BC

b)

AC

c)

MD

d)

MC

70.

If AC=42, find DF

a)

21

b)

84

c)

14

d)

28

Geometry CBA 2

Total questions: 70

Worksheet time: 18hrs 30mins

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