wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

PA/8th Unit #6 Test remediation Congruent and Similar figures

Total questions: 46

Worksheet time: 1hrs 15mins

Name
Class
Date
1.

A transformation in which a figure slides to another location on a coordinate plane without changing size or shape is called a...

a)

translation

b)

reflection

c)

rotation

d)

dilation

2.

A transformation in which a figure flips to another location on a coordinate plane without changing size or shape is called a...

a)

translation

b)

reflection

c)

rotation

d)

dilation

3.

A transformation in which a figure turns to another location on a coordinate plane without changing size or shape is called a...

a)

translation

b)

reflection

c)

rotation

d)

dilation

4.

The figures stay congruent when translating, rotating, and reflecting.

a)

True

b)

False

5.

Figures that have the same size and shape are called...

a)

similar

b)

congruent

c)

equal

d)

dilations

6.

Describe the transformation of parallelogram WXYZ to parallelogram W'X'Y'Z'.

a)

vertical translation -8 units, horizontal translation -2 units

b)

reflection over the x-axis

c)

rotation 90o clockwise around the origin

d)

vertical translation -3 units, horizontal translation 5 units

7.

If Triangle ABC, with points A(4, 6), B(1, 1), C(4, 1), is reflected across the x-axis, what will be the new coordinates?

a)

A (-4, 6) B(-1, 1) C(-4, 1)

b)

A (-4, -6) B(-1, -1) C(-4, -1)

c)

A (4, -6) B(1, -1) C(4, -1)

d)

A (-4, -6) B(1, 1) C(-4, -1)

8.

If Parallelogram DEFG, with points D(-2, 5), E(0, 3), F(-2, 1), G(-4, 3), is rotated 90o clockwise around the origin, what will be the new coordinates?

a)

D(5, 2), E(3, 0), F(1, 2), G(3, 4)

b)

D(5, -2), E(3, 0), F(1, -2), G(3, -4)

c)

D(2, -5), E(0, -3), F(2, -1), G(4, -3)

d)

D(-2, 5), E(0, 3), F(-2, 1), G(-4, 3)

9.

If Triangle DEF has the coordinates D(-2, -2), E(-2, -4), F(-6, -4), what will the new coordinates be after it is rotated 180° around the origin?

a)

D(-2, 2), E(-2, 4), F(-6, 4)

b)

D(2, 2), E(2, 4), F(6, 4)

c)

D(2, -2), E(2, -4), F(6, -4)

d)

D(-2, -2), E(2, -4), F(6, 4)

10.

8. If Triangle ABC has the coordinates A(2, 1), B(6, 1), C(4, 4), what will the new coordinates be after it is translated horizontally 4 units?

a)

A(6, 1), B(10, 1), C(8, 4)

b)

A(2, 5), B(6, 5), C(4, 8)

c)

A(-2, 1), B(2, 1), C(0, 4)

d)

A(6, 5), B(10, 5), C(8, 8)

11.

Describe the transformation of triangle ABC to triangle A'B'C'.

a)

vertical translation -3 units

b)

reflection over the y-axis

c)

rotation 90o clockwise around the origin

d)

reflection over x=-4

12.

Describe the transformation of triangle ABC to triangle A'B'C'.

a)

horizontal translation -3 units

b)

reflection over the y-axis

c)

rotation 180o around the origin

d)

rotation 90o clockwise around the origin

13.
Identify the transformation from A to D.
a)
90o Clockwise Rotation
b)
180o Rotation
c)
270o Clockwise Rotation
d)
360o Rotation
14.
What type of rotation does this represent (from red to blue)?
a)
270⁰ clockwise
b)
360⁰
c)
90⁰ counterclockwise
d)
180⁰
15.
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
16.
When you translate, (x,y+6) will move _____.
a)
6 units right
b)
6 units left
c)
6 units up
d)
6 units down
17.
When you translate, (x-4,y) will move _____.
a)
4 units right
b)
4 units left
c)
4 units up
d)
4 units down
18.
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)
19.
Identify the transformation from ABC to A'B'C'.
a)
90o clockwise rotation
b)
90o counter clockwise rotation
c)
Reflection across the y-axis
d)
Reflection across the x-axis
20.
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)
90o counter clockwise Rotation
21.

Which of the following describes the sequence of transformations shown?

a)

Reflect across the x-axis and then rotate 90 degrees counterclockwise around the origin

b)

Rotate 90 degrees clockwise around the origin and then translate down 8.

c)

Reflect across the x-axis and then reflect across the y-axis.

d)

Translate up 8 and then rotate 90 degrees counterclockwise about the origin.

22.
The point (8, 12) was dilated to become point (2, 3). What was the scale factor?
a)
½
b)
¼
c)
4
d)
2
23.
What is Dilation?
a)
Dilation means to enlarge or reduce
b)
Dilation means to reflect on something
c)
Dilation means to like something
d)
Dilation means to make something different by making it smaller
24.
Does the image show a Dilation?
a)
Yes
b)
No
25.
Does the image show a dilation?
a)
Yes
b)
No
26.
Definition: The figure after a transformation has occurred. 
a)
Pre-image
b)
Image
c)
Translation
d)
Reflection
27.
Definition: The figure before a transformation has occurred. 
a)
Pre-image
b)
Image
c)
Translation
d)
Reflection
28.
Choose the correct scale factor:
a)
2
b)
3
c)
1/3
d)
1/2
29.

Figures that have the same shape and proportional size are called...

a)

similar

b)

congruent

30.

Which are the congruence transformations? (check all correct)

a)

Translation

b)

Dilation

c)

Rotation

d)

Reflection

31.

Which are the similarity transformation(s)? (check all correct)

a)

Translation

b)

Dilation

c)

Rotation

d)

Reflection

32.

A 270 degree clockwise rotation is the same as _________ rotation.

a)

180

b)

90 clockwise

c)

90 counter-clockwise

d)

270 counter-clockwise

33.

A 270 degree COUNTER-clockwise rotation is the same as _________ rotation.

a)

180

b)

90 clockwise

c)

90 counter-clockwise

d)

270 clockwise

34.

A scale factor of greater than one makes the figure _________.

a)

Larger

b)

Smaller

35.

A scale factor of less than one makes the figure _________.

a)

Larger

b)

Smaller

36.
What is the measure of ∠2?
a)
38
b)
58
c)
71
d)
142
37.
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
38.
Name the alternate interior angle to angle 3.
a)
4
b)
5
c)
6
d)
8
39.
Name the corresponding angle to angle 4.
a)
angle 8
b)
angle 6
c)
angle 2
d)
angle 5
40.
Find the value of x. 
a)
x = 133
b)
x = 47
41.
Find y.
a)
50
b)
130
42.
What is the value of y?
a)
29
b)
119
c)
58
43.

Find the measure of the indicated angle.

a)

135°135\degree  

b)

55°55\degree  

c)

45°45\degree  

d)

60°60\degree  

44.
Solve for x.
a)
7
b)
9
c)
-11
d)
-8
45.
Solve for the missing angle with the question mark. 
a)
A
b)
B
c)
C
d)
D
46.
What is the measure of angle b?
a)
36o
b)
56o
c)
63o
d)
117o