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Milestones Transformation Review

Total questions: 12

Worksheet time: 56mins

Name
Class
Date
1.

In a rigid transformation on ΔABC, AA' ≠ BB' and segment AA' ∦ BB'. Which transformation was applied to ΔABC?

a)

Reflection

b)

Translation

c)

Rotation

2.

In a rigid transformation on ΔABC, AA' = BB' = CC' and AA' || BB' || CC'. Which transformation was applied to ΔABC?

a)

reflection

b)

translation

c)

rotation

3.

A rigid transformation is applied to a figure under the rule (x, y) → (-x, -y). What effect does this transformation have on the figure?

a)

90º rotation about the origin

b)

180º rotation about the origin

c)

reflection over the y-axis

d)

reflection over the x-axis

4.

In a rigid transformation on ΔABC, AA' ≠ BB' but AA'||BB' . Which transformation was applied to ΔABC ?

a)

reflection

b)

translation

c)

rotation

5.

The drawing of a jar is created by reflecting half of the drawing over a line of reflection, m. What is the width of the full drawing of the jar at its widest point?

a)

16''

b)

8''

c)

3''

d)

4''

6.

The drawing of a jar is created by reflecting half of the drawing over a line of reflection, m. The jar sits on a circular base. What is the circumference of the base?

a)

3π in.

b)

6π in.

c)

8π in.

d)

9π in.

7.

Starting with point A (-4, -5), which single translation will produce the same image as the following sequence of translations:

(x, y) → (x - 1, y + 5), followed by

(x, y) → (x + 4, y + 2), followed by

(x, y) → (x - 5, y - 7) ?

a)

(x, y) → (x - 6, y - 5)

b)

(x, y) → (x - 1, y + 2)

c)

(x, y) → (x - 2, y)

d)

(x, y) → (x - 5, y)

8.

Write a rule for the sequence of a reflection in the x-axis following a translation of 7 units to the left and 3 units up.

a)

(x – 7, -y + 3)

b)

(x – 7, -y – 3)

c)

(x – 7, y + 3)

d)

(x – 7, y – 3)

9.

Triangle ABC has vertices A(-1,1), B(2,3) and C(-1,-4). Which sequence of transformations will move vertex B to the point (-2,5)?

a)

reflection over the y-axis, then translation 2 units up

b)

reflection over the x-axis, then translate 4 units left and 8 up.

c)

translate 2 units up and reflect over the y-axis.

d)

all of the above

10.

A double reflection occurs on the point S(-4,3) over the line x = -2, followed by the line x = 8. What is the distance between the pre-image and the image of point S?

a)

8 units

b)

10 units

c)

12 units

d)

20 units

11.

The shape shown in the diagram at the right is reflected over the x-axis and then reflected over the y-axis. What are the coordinates of the image of point P after these two transformations?

a)

(4, 3)

b)

(3, -4)

c)

(-4, 3)

d)

(-3, -4)

12.

The shape shown in the diagram at the right is reflected over the x-axis and then reflected over the y-axis. Which choice represents the orientation of the shape after the two transformations?

a)
b)
c)
d)