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Geometry: Topic 3 (Transformations)

Total questions: 49

Worksheet time: 1hrs 6mins

Name
Class
Date
1.

The image of the point (-5, 3) reflected over the x-axis would be:

a)

(-5, -3)

b)

(5, 3)

c)

(5, -3)

d)

(3, -5)

2.

The image of the point (-5, 3) reflected over the y-axis would be:

a)

(-5, -3)

b)

(5, 3)

c)

(5, -3)

d)

(3, -5)

3.

The image of the point (2, -7) reflected over the what line would be (-7, 2).

a)

x - axis

b)

y - axis

c)

y = x

d)

x = 1

4.

Given the point Y at (5, 2), where would the image be after the following translation: (x + 2, y - 7)?

a)

(7, 7)

b)

(3, 9)

c)

(4, -5)

d)

(7, -5)

5.

Given the point A at (-6, -2), where would the image be after the translation T(-4, 2)?

a)

(-2, 4)

b)

(-10, 0)

c)

(2, 0)

d)

(-8, -4)

6.
Determine how to translate triangle ABC to triangle A'B'C'.
a)
(x-2, y+5)
b)
(x+2, y-9)
c)
(x-2, y+9)
d)
(x-9, y+2)
7.
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
8.
The point ( -2,5) is reflected over the line x = 1.  Find its image.
a)
(  4,  5)
b)
( -2  , -5)
c)
( 2  ,  5)
d)
(2   , -5)
9.
Identify the transformation from A to D.
a)
90o Clockwise Rotation
b)
180o Rotation
c)
270o Clockwise Rotation
d)
360o Rotation
10.
Point (-3,-3) is rotated 360 degrees clockwise about the origin.  Where is the new point located?
a)
(3,3)
b)
(-3,3)
c)
(3,-3)
d)
(-3,-3)
11.

Reflect Point C over the line x = 1

a)

(-1, 2)

b)

(3, 0)

c)

(0, 2)

d)

(3, -1)

12.

What is the rule for the following reflection?

a)

Reflection across y = −2

b)

Reflection across x = −2

c)

Reflection across x = 2

d)

Reflection across y = 2

13.
How many degrees was the figure rotated?
a)
90 degrees counterclockwise 
b)
180 degrees
c)
90 degrees clockwise
14.
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)
15.

Reflect the shape over the line y = x. Where is A'?

a)

(7, 2)

b)

(-2, 7)

c)

(2, -7)

d)

(-7, -2)

16.

The coordinates of triangle JRB are ,J(1, -2) , R(-3, 6) and B(4, 5) . What are the coordinates of the vertices of its image after the

transformation T(2, -1) then ry-axis ?

a)

(3, 1), (-1, -7), (6, -6)

b)

(3, -3), (-1, 5), (6, 4)

c)

(-3, -3), (1, 5), (-6, 4)

d)

(-1, -2), (3, 6), (-4, 5)

17.

Which would be the correct notation for the composition of transformations from blue to red to green?

a)

<-4,0> then Ry axis

b)

Ry axis then <0, -4>

c)

<0, -4> then Ry axis

d)

Rx axis then Ry axis

18.
A turn is also called a ___________.
a)
Translation
b)
Reflection
c)
Rotation
d)
Transformation
19.
Translations, reflections and rotations are all known as ________________________.
a)
Geometry
b)
Transformations
c)
Congruent
20.
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)
21.
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
22.
The rule for rotation of 90 degrees is  
(x, y) --> _
a)
(y, -x)
b)
(-y, x)
c)
(x, -y)
d)
(-x, y)
23.
The rule for reflection over the y-axis is  
(x, y) --> _
a)
(-x, y)
b)
(x, -y)
c)
(y, x)
d)
(-y, x)
24.
The rule for rotation of 270 degrees is  
(x, y) --> _
a)
(y, x)
b)
(-y, x)
c)
(y, -x)
d)
(x, -y)
25.
What would the new point be if you rotated the point (4,9) 180°about the origin?
a)
a. (-9,4)
b)
b. (-4,-9)
c)
c. ( 9, -4) 
d)
d. (4,9)
26.
What would the new point be if you rotated the point (3,-5) 270° clockwise?
a)
a.  (-3,-5) 
b)
b.  (-5,-3) 
c)
c.  (5,3)
27.
A slide is also called a _________.
a)
Translation
b)
Reflection
c)
Rotation
d)
Transformation
28.
The image shows what type of transformation
a)
Rotation
b)
Translation
c)
Reflection
29.
Rotation or Reflection
a)
Rotation
b)
Reflection
c)
translation
30.
Identify the transformation from C to D.
a)
90o Clockwise Rotation
b)
180o Rotation
c)
270o Clockwise Rotation
d)
360o Rotation
31.
Reflect the point (-1, 2) over the y-axis.
a)
(-1, -2)
b)
(1, 2)
c)
(1, -2)
d)
(1, 4)
32.

Describe the rotation.

a)

Rotate 90 degrees clockwise about the origin

b)

Rotate 90 degrees counter clockwise about the origin

c)

Rotate 180 degrees about the origin

d)

Rotate 180 degrees

33.

Which of the following BEST describes the transformation?

a)

TRANSLATE 5 units down

b)

REFLECT over the x-axis

c)

ROTATE 90 degrees clockwise

d)

None of these

34.

Which figure is the IMAGE?

a)

ABC

b)

A'B'C'

c)

Not enough information

35.
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)
36.
Identify the transformation from C to D.
a)
90o Clockwise Rotation
b)
180o Rotation
c)
270o Clockwise Rotation
d)
360o Rotation
37.

If (3,2)→(-3,-2) represents a counterclockwise rotation of the point on a coordinate plane, how many degrees is the rotation?

a)

90

b)

180

c)

270

d)

360

38.

If (4,-2) → (-2, -4) represents a counterclockwise rotation of the point on a coordinate plane, how many degrees is the rotation?

a)

90

b)

180

c)

270

d)

360

39.

Describe the given rotation. Select ALL that apply.

a)

90° counterclockwise

b)

180° clockwise

c)

90° clockwise

d)

270° clockwise

e)

270° counterclockwise

40.

How many degrees was the figure rotated?

a)

90 degrees counterclockwise 

b)

180 degrees

c)

90 degrees clockwise

41.

In the diagram below, congruent figures 1, 2, and 3 are drawn. Which sequence of transformations maps figure 1 onto figure 2 and then figure 2 onto figure 3?

a)

A reflection Followed by a translation

b)

A rotation followed by a translation

c)

A translation followed by a reflection

d)

a translation followed by a rotation

42.

As shown in the graph of the rectangle. Which transformation would NOT map the rectangle back onto itself? (which transformation would the rectangle NOT be in the same spot)

a)

a reflection of the x-axis

b)

a reflection over the line x=4

c)

a rotation of 180 about the origin

d)

a rotation of 180 about point (4,0)

43.
How many degrees was the figure rotated?
a)
90 degrees counterclockwise 
b)
180 degrees
c)
90 degrees clockwise
44.
What type of rotation does this represent (from red to blue)?
a)
270⁰ clockwise
b)
360⁰
c)
90⁰ counterclockwise
d)
180⁰
45.
a)

(-1,-4)

b)

(-4,-1)

c)

(1,4)

d)

(4,1)

46.

a)

(3,1), (-1,-7), (6,-6)

b)

(3,-3), (-1,5), (6,4)

c)

(1,-3), (5,5), (-2,4)

d)

(-1,-2), (3,6), (-4,5)

47.

a)

a rotation of 90° counterclockwise about the origin followed by a reflection over the x-axis

b)

a rotation of 90° counterclockwise about the origin followed by a translation down 7 units

c)

a reflection over the y-axis followed by a reflection over the x-axis

d)

a reflection over the x-axis followed by a rotation of 90° counterclockwise about the origin

48.

Point S(-3,-5) is rotated -90 degrees around point (4,-2) where is S' located?

a)

(2,3)

b)

(1,5)

c)

(3,5)

d)

(3,8)

49.

Point S(-5,3) is rotated -90 degrees around point (4,-2) where is S' located?

a)

(9,7)

b)

(8,6)

c)

(9,3)

d)

(6,2)

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