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SS Geometry - CHAPTER 7

Total questions: 50

Worksheet time: 1hrs 29mins

Name
Class
Date
1.
The original figure prior to a transformation.
a)
Pre-image
b)
Image
2.

What axis is the triangle being reflected over?

a)

X-axis

b)

Y-axis

3.
Which transformation is NOT a rigid motion (the size changes)?
a)
reflection
b)
rotation
c)
dilation
d)
translation
4.
A rigid motion ...
a)
preserves size and location
b)
preserves shape and location
c)
preserves size and shape
d)
makes the figure larger
5.
True or false: A reflection makes a congruent figure. 
a)
true
b)
false
6.
When an ordered pair is reflected across the x-axis, what changes?
a)
nothing
b)
y-value
c)
x-value
7.
The ordered pair (-3, 4) is reflected across the x-axis. What is the new ordered pair?
a)
(-3, -4)
b)
(3, 4)
c)
(3, -4)
d)
(-3, 4)
8.
A slide is also called a _________.
a)
Translation
b)
Reflection
c)
Rotation
d)
Transformation
9.

True or False: Rigid motions preserve angle measure.

a)

True

b)

False

10.

Identify the transformation:

a)

Rotation

b)

Reflection

c)

Translation

d)

Dilation

11.
The result of a transformation.
a)
Pre-image
b)
Image
12.
Determine where X' would be if you translated X 3 units to the left and 9 units down.
a)
(-4, 4)
b)
(-10, 2)
c)
(-4, -5)
d)
(-1, 5)
13.
Determine how to translate triangle A'B'C' to triangle ABC.
a)
right two, down five
b)
right two, down 9
c)
left two, down 9
d)
left two, down 5
14.
What transformation is happening?
(x, y) ----> (x + 2, y - 3) 
a)
slide up 2, left 3
b)
slide right 2, up 3
c)
slide right 2, down 3
d)
slide left 3, right 2
15.
Write the rule for this translation:
Slide 3 up and 2 right
a)
(x, y)---->(x + 3, y + 2)
b)
(x, y)-----> (x+2, y + 3)
c)
(x, y)----> (x - 2, y + 3)
16.
If the dotted figure is the image, the original figure was reflected over the ...
a)
x-axis
b)
y-axis
17.
True or false: A reflection makes a congruent figure. 
a)
true
b)
false
18.
When an ordered pair is reflected across the x-axis, what changes?
a)
nothing
b)
y-value
c)
x-value
19.
A slide is also called a _________.
a)
Translation
b)
Reflection
c)
Rotation
d)
Transformation
20.
Identify the transformation from C to D.
a)
90o Counter Clockwise Rotation
b)
180o Rotation
c)
270o Counter clockwise Rotation
d)
360o Rotation
21.
A rigid motion creates figures that are ____________.
a)
congruent
b)
different sizes
c)
similar
d)
larger
22.
Turning a figure is a ...
a)
Translation
b)
Reflection
c)
Dilation
d)
Rotation
23.
Sliding a figure is a ...
a)
Rotation
b)
Translation
c)
Dilation
d)
Reflection
24.
The image shows what type of transformation
a)
Rotation
b)
Translation
c)
Reflection
25.
Which answer shows a reflection across the y-axis?
a)
a
b)
b
c)
c
d)
d
26.
Where will A' be at, if triangle ABC is reflected by
(x,y) --> (-x,y)?
a)
(2,1)
b)
(1,-2)
c)
(-1,2)
d)
(2,-1)
27.
Point K (4, 2) is translated using this rule:
(x, y)----> (x + 3, y - 1) 
What are the coordinates of K'? 
a)
(6, 3)
b)
(7, 3) 
c)
(7, 1) 
d)
(5, 3) 
28.
What is the angle of rotation for this counterclockwise rotation about the origin?
a)
90°
b)
180°
c)
270°
d)
360°
29.
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)
30.
Determine where X' would be if you translated X 3 units to the left and 9 units down.
a)
(-4, 4)
b)
(-10, 2)
c)
(-4, -5)
d)
(-1, 5)
31.
What rule describes the translation?
a)
(x - 6, y + 2)
b)
(x - 2, y + 6)
c)
(x + 2, y - 6)
d)
(x + 6, y - 2)
32.
State the line of reflection.
a)
Reflection across y-axis
b)
Reflection across x-axis
c)
Reflection across x = 1
d)
Reflection across y = 1
33.
Find K' if the figure is reflected across the x-axis
a)
(4, 1))
b)
(-1, -4)
c)
(1, -4)
d)
(1, 4)
34.

What will be the coordinates of V' if you reflect the figure over y = 1?

a)

(-3, -1)

b)

(-3, 1)

c)

(-3, 3)

d)

(-1, 5)

35.
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)
36.
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)
37.
What are the series of rigid motions that would map ∆ABC onto ∆A''B''C''?
a)
a reflection followed by a rotation
b)
a reflection followed by a translation
c)
a translation followed by a rotation
d)
a translation followed by a reflection
38.
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)
39.
Reflect the point (2, -4) over the y-axis.
a)
(-4, 2)
b)
(-2, 4)
c)
(-2, -4)
d)
(2, 4)
40.
∆QRS contains the points: Q(4, 2) R(5, 1) S(3,7). If the triangle is reflected across the y-axis, what will S' be?
a)
S'(3, 7)
b)
S'(-3, 7)
c)
S'(-3, -7)
d)
S'(3, 7)
41.
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
42.

Identify the correct picture which represents a 90o clockwise rotation about the origin.

a)
b)
c)
d)
43.

Triangle B is rotated 90° 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

44.

Find the image of A( -3, 5) after translating (x,y) --> (x , y-4) then reflecting across the y-axis

a)

(3,1)

b)

(3, -1)

c)

(-1, 5)

d)

(-1, 3)

45.

Combine the transformations (x, y)--> (x+14, y+1) and (x,y)-->(x-3, y+8)

a)

(x, y)--> (x+11, y+9)

b)

(x, y)--> (x-17, y-7)

46.

Combine the transformations (x, y)--> (x+7, y-2) and (x,y)-->(x-1, y+3)

a)

(x, y)--> (x+6, y+1)

b)

(x, y)--> (x-8, y-5)

47.

Name the series of transformations that maps ABC onto DEF

a)

reflect over x-axis, then translate left 6 up 1

b)

reflect over y-axis, then translate down 6 left 1

c)

translate right 6 down 1, then reflect over x-axis

d)

rotate 90 clockwise, then reflect over y-axis

48.
Does several transformations back to back
a)
Rotation
b)
Reflection
c)
Dilation
d)
Composition
49.

Find the image of A( -3, 5) after translating (x,y) --> (x-6 , y -1) then reflecting across the line x= -1

a)

( 7, 4)

b)

( 4, 7)

c)

(-5, 4)

d)

(4, -5)

50.

If AA"=8, what is the distance between lines l and m?

a)

16

b)

4

c)

32

d)

2

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