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Unit 1 Transformations in the Coordinate Plane

Total questions: 20

Worksheet time: 2hrs 40mins

Name
Class
Date
1.
Identify the transformation from ABCD to A'B'C'D'.
a)
Translation
b)
Reflection across the x-axis
c)
Reflection across the y-axis
d)
90o counter clockwise rotation
2.
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)
3.

Level 3: Identify the transformation.

a)

Rotation (Turn)

b)

Reflection (Flip)

c)

Translation (Slide)

d)

None of the Above

4.

Level 3: Identify the transformation.

a)

Reflection (Flip)

b)

Translation (Slide)

c)

Rotation (Turn)

d)

None of the Above

5.
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
6.
What does a translation do to a figure on the coordinate plane?
a)
Rotates it
b)
Flips it
c)
Shrinks it
d)
Slides it
7.

Point A of triangle ABC is at (3, 2). If triangle ABC is reflected about the y-axis, what are the

coordinates of point A’ ?

a)

( 3 , -2)

b)

( -3 , 2)

c)

( -2 , -3 )

d)

( 2 , 3 )

8.

Which coordinate notation correctly describes a transformation that maps the black triangle to the gray triangle?

a)

The rotation (x, y) → (-x, -y)

b)

The translation (x, y) → (x + 6, y - 2)

c)

The rotation (x, y) → (-y, -x)

d)

The translation (x, y) → (x + 4, y - 8)

9.

A regular pentagon is centered about the origin and has a vertex at (0, 4). Which transformation maps the pentagon to itself?

a)

a reflection across line m

b)

a reflection across the x-axis

c)

a clockwise rotation of 100° about the origin

d)

a clockwise rotation of 144° about the origin

10.

A trapezoid is shown in the coordinate plane. Which of the following gives the line or lines of symmetry about which the trapezoid can be reflected in order to map the trapezoid onto itself?

a)

y = x

b)

x = 4

c)

x = 4 and y = 2

d)

x = 0 and y = 0

11.

Which correctly describes the two transformations that were used to create the image on the graph?

a)

Reflection over the y-axia and a rotation 90o counter clockwise

b)

(x+10, y) and reflection over x-axis

c)

Rotation 90o clockwise and a reflection over the x-axis

d)

Reflection over the x-axis ad a translation (x+6,y)

12.

What is the sequence of transformations?

a)

Reflect over the y then reflect over the x

b)

Reflect over the x then reflect over the y

c)

Translate 4 units then rotate 90˚

d)

Rotate 90˚ then reflect over the x

13.

If a regular hexagon is rotated about it's center, which angles would result in the hexagon being mapped back onto itself? (There are multiple correct answers.)

a)

45°

b)

60°

c)

90°

d)

120°

e)

180°

14.
How is triangle A rotated to be triangle Y?
a)
180 clockwise
b)
90 clockwise
c)
90 counter-clockwise
15.
Reflect the point (2, -4) over the y-axis.
a)
(-4, 2)
b)
(-2, 4)
c)
(-2, -4)
d)
(2, 4)
16.
Rotate the point (7,8) around the origin 90 degrees. State the image of the point.
a)
(-7,-8)
b)
(8,-7)
c)
(-8,7)
d)
(8,7)
17.
When a coordinate goes to (-x, -y) it is a 
a)
180 degree rotation
b)
a 90 degree clockwise rotation
c)
a 90 degree counterclockwise rotation
d)
A 360 degree rotation
18.
Which transformation is not a rigid transformation?
a)
Translation
b)
Reflection
c)
Rotation
d)
Dilation
19.
Explain the translation...
(x,y)→(x - 8, y + 4)
a)
right 8, up 4
b)
left 8, down 4
c)
left 8, up 4
d)
right 8, down 4
20.
Explain the reflection...
(x,y)→(−x, y)
a)
reflection over the x-axis
b)
reflection over the y-axis