Free Printable Topic 6 Congruence and Similarity

1.

Determine if the two figures below are congruent by using transformations.

a)

yes

b)

no

2.

Which statement about the triangles at the right is true?

a)

ΔABC is not similar to ΔADF

b)

ΔABC is similar to ΔADF

c)

∠BAC is not congruent to ∠DAF

d)

ΔABC is congruent to ΔADF

3.

Which transformation(s) create(s) similar figures?

a)

Dilation

b)

Translation, Reflection, and Rotation

c)

Translation and Reflection

d)

Reflection and Rotation

4.

Which transformation(s) create(s) congruent figures?

a)

Dilation

b)

Translation, Reflection, Rotation

c)

Dilation and Translation

d)

Dilation and Reflection

5.

Find the value of x.

a)

74

b)

37

c)

52

d)

90

6.

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

7.

Identify the transformation.

a)

Reflection across y-axis

b)

90 Rotation counter clockwise

c)

Translation 5 units left, 1 unit up.

d)

Translation 5 units right, 1 unit down

8.

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

9.

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)

10.

The image shows what type of transformation

a)

Rotation

b)

Translation

c)

Reflection

11.

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)

12.

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

a)

y-axis

b)

x-axis

13.

Reflect Point C over the y-axis:

a)

(-3, 2)

b)

(3,2)

c)

(-2,3)

d)

(3,0)

14.

Reflections over the x-axis change the ____-__________.

a)

y-coordinate

b)

x-coordinate

15.

Does the image show a Dilation?

a)

Yes

b)

No

16.

How many degrees was the figure rotated?

a)

90 degrees counterclockwise

b)

180 degrees

c)

90 degrees clockwise

17.

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

18.

Determine where X' would be if you translated the figure -3 units to the horizontally and -9 units vertically.

a)

(-4, 4)

b)

(-10, 2)

c)

(-4, -5)

d)

(-1, 5)

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 reflection ____________________.

a)

turns a figure around a point.

b)

slides an object form one place to another.

c)

flips or mirrors an object across a line.

d)

changes the size of an object.

21.

Translated figures are always __________________.

a)

Congruent

b)

Bigger

c)

Smaller

d)

Rotated

22.

All angles in similar figures are congruent.

a)

True

b)

False

23.

Are the following similar? Why or why not?

a)

Yes. All pairs of corresponding angles are congruent.

b)

No, the corresponding angles are not equal.

c)

No, the ratios of the corresponding sides are not equal.

24.

A type of transformation where a geometric figure slides horizontally, vertically, or both. What type of transformation is this?

a)

dilation

b)

translation

c)

rotation

d)

reflection

25.

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

26.

In a translation, the preimage and image are ___________.

a)

congruent

b)

similar

c)

different

d)

red

27.

The original figure prior to a transformation.

a)

Pre-image

b)

Image

28.

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

a)

(4, 1))

b)

(-1, -4)

c)

(1, -4)

d)

(1, 4)

29.

Reflect Point C over the y-axis:

a)

(-3, 2)

b)

(3,2)

c)

(-2,3)

d)

(3,0)

30.

Where will A' be at, if triangle ABC is reflected by
(x,y) --> (-x,y)?

a)

(2,1)

b)

(1,-2)

c)

(-1,2)

31.

Angle Q and B are...

a)

Alternate Interior Angles

b)

Consecutive Interior Angles

c)

Corresponding Angles

d)

Alternate Exterior Angles

32.

Angle C and P are...

a)

Alternate Interior Angles

b)

Consecutive Interior Angles

c)

Corresponding Angles

d)

Alternate Exterior Angles

33.

Angle R and C are...

a)

Alternate Interior Angles

b)

Consecutive Interior Angles

c)

Corresponding Angles

d)

Alternate Exterior Angles

34.

Angle S and A are...

a)

Alternate Interior Angles

b)

Consecutive Interior Angles

c)

Corresponding Angles

d)

Alternate Exterior Angles

35.

Angle P and A are...

a)

Alternate Interior Angles

b)

Consecutive Interior Angles

c)

Corresponding Angles

d)

Alternate Exterior Angles

36.

Angles on the same side of a transversal, in corresponding positions, and are congruent are called _____.

a)

Vertical angles

b)

Corresponding Angles

c)

Supplementary Angles

d)

Alternate Interior Angles

37.

∠2 & ∠4 are...

a)

Supplementary angles

b)

Vertical angles

c)

Corresponding angles

d)

Alternate interior angles

38.

∠6 & ∠7 are...

a)

Supplementary angles

b)

Vertical angles

c)

Corresponding angles

d)

Alternate interior angles

39.

∠2 & ∠6 are...

a)

Supplementary angles

b)

Vertical angles

c)

Corresponding angles

d)

Alternate interior angles

40.

∠3 & ∠6 are...

a)

Supplementary angles

b)

Vertical angles

c)

Corresponding angles

d)

Alternate interior angles

41.

Which of the following angles would NOT be congruent to the measure of $\angle7$ ?

a)

$\angle2$

b)

$\angle3$

c)

$\angle6$

d)

$\angle8$

42.

Which of the following is NOT an example of supplementary angles?

a)

$\angle7\ and\ \angle8$

b)

$\angle2\ and\ \angle3$

c)

$\angle1\ and\ \angle7$

d)

$\angle6\ and\ \angle4$

43.

If the $m\angle7\ =\ 115\degree,$ find the measure of $\angle2.$

a)

$115\degree$

b)

$65\degree$

c)

$180\degree$

d)

Cannot be determined

44.

If the $m\angle5\ =\ 63\degree,$ find the measure of $\angle3.$

a)

$63\degree$

b)

$117\degree$

c)

$180\degree$

d)

Cannot be determined

45.

Which of these angles is NOT congruent to angle 5?

a)

Angle 6

b)

Angle 8

c)

Angle 1

d)

Angle 4

46.

If the $m\angle1\ =\ 57\degree,$ find the measure of $\angle6.$

a)

$123\degree$

b)

$57\degree$

c)

$180\degree$

d)

Cannot be determined

47.

Find the value of x if the $m\angle1\ =\ 11x\ -\ 9\degree$ and the $m\angle5\ =\ 7x\ +9\degree$ .

a)

-4.5

b)

4.5

c)

1

d)

0

48.

Find the value of x if the $m\angle1\ =\ 12x+19\degree$ and the $m\angle2\ =\ 22x-9\degree$ .

a)

-2.8

b)

2.8

c)

-5

d)

5

49.

In the diagram, which of the following statements are false?

a)

∠1 and ∠4 are vertical angles

b)

∠4 and ∠5 are alternate interior angles

c)

∠1 and ∠8 are alternate interior angles

d)

∠2 and ∠6 are corresponding angles

50.

A line that passes through 2 or more lines is called a ______________.

a)

transitive

b)

passer through line

c)

transversal

d)

bisector

51.

Angle C and P are...

a)

Alternate Interior Angles

b)

Consecutive Interior Angles

c)

Corresponding Angles

d)

Alternate Exterior Angles

52.

Angle S and A are...

a)

Alternate Interior Angles

b)

Consecutive Interior Angles

c)

Corresponding Angles

d)

Alternate Exterior Angles

53.

What is the measure of ∠8?

a)

55

b)

155

c)

135

d)

45

54.

What is the measure of ∠3?

a)

55

b)

155

c)

45

d)

135

55.

What is the measure of ∠6?

a)

55

b)

155

c)

45

d)

135

56.

What is the measure of ∠2?

a)

38

b)

58

c)

71

d)

142

57.

Find the value of x.

a)

x = 133

b)

x = 47

58.

Find x.

a)

130

b)

50

59.

Identify the correct statement.

a)

∠1 & ∠2
are vertical angles

b)

∠2 & ∠4
are vertical angles

c)

∠5 & ∠8
are vertical angles

d)

∠1 & ∠5
are vertical angles

60.

Identify the correct statement.

a)

∠1 & ∠2
are corresponding angles

b)

∠2 & ∠4
are corresponding angles

c)

∠5 & ∠8
are corresponding angles

d)

∠1 & ∠5
are corresponding angles

61.

Identify the correct statement.

a)

∠1 & ∠8
are alternate interior angles

b)

∠2 & ∠3
are alternate interior angles

c)

∠4 & ∠5
are alternate interior angles

d)

∠7 & ∠4
are alternate interior angles

62.

Angles which add up to 180° are called _____.

a)

Vertical angles

b)

Corresponding Angles

c)

Supplementary Angles

d)

Alternate Interior Angles

63.

Identify the correct statement.

a)

∠A=82°

b)

∠A=98°

c)

∠A=180°

d)

∠A=8°

64.

Identify the correct statement.

a)

∠B=82°

b)

∠B=98°

c)

∠B=180°

d)

∠B=8°

65.

Identify the correct statement.

a)

∠C=116°

b)

∠C=64°

c)

∠C=180°

d)

∠C=26°

66.

$\angle1\$ and $\angle2$ are __.

a)

Alternate Interior Angles

b)

Alternate Exterior Angles

c)

Same-side Interior Angles

d)

Corresponding Angles

e)

None of these

67.

What is the measure of angle b

a)

146

b)

34

c)

36

d)

136

68.

What is the measure of the missing angle?

a)

140

b)

130

c)

50

d)

90

69.

Which of the following terms best describes Angle d?

a)

Remote interior angle

b)

Corresponding angle

c)

Exterior angle

d)

Interior angle

70.

What is the measure of angle b?

a)

36^o

b)

56^o

c)

63^o

d)

117^o

Topic 6 Congruence and Similarity

Total questions: 70

Worksheet time: 2hrs 43mins

Similar Resources on Wayground