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Rigid Motion Transformations Rules

Total questions: 10

Worksheet time: 10mins

Name
Class
Date
1.

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

2.

Which of the following describes the sequence of transformations shown?

a)

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

b)

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

c)

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

d)

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

3.

Determine the coordinates of X' if point X is translated 3 units to the left and 9 units down.

a)

(-4, 4)

b)

(-10, 2)

c)

(-4, -5)

d)

(-1, 5)

4.

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

5.

Identify the transformation from C to D.

a)

90o Clockwise Rotation

b)

180o Rotation

c)

270o Clockwise Rotation

d)

360o Rotation

6.

Identify the angles of rotation that maps the image to itself.

a)

multiples of 72°

b)

multiples of 180°

c)

multiples of 144°

d)

multiples of 45°

7.

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

a)
b)
c)
d)
8.

What sequence of transformations will map trapezoid A to its image A'?

a)

Reflection across vertical line, then translation downwards

b)

Rotation 180 degrees, then reflection over x-axis

c)

Reflection across x-axis, then translation upwards

d)

Rotation 180 degrees, then reflection over y-axis

9.

Point (-5,2) is reflected over the y axis.  Where is the new point located?

a)

(5,2)

b)

(-5,-2)

c)

(-5,2)

d)

(5,-2)

10.

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)