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Transformations

Total questions: 15

Worksheet time: 3hrs 30mins

Name
Class
Date
1.

Which 2 transformations could have resulted in image 1?

a)

A reflection and a rotation

b)

A translation and a reflection

c)

A translation and a rotation

d)

A dilation and a translation

2.

Describe what happened to the flag's position in terms of transformation.

a)

The flag was translated 4 units down and then reflected across the pole.

b)

The flag was translated 3 units down and then reflected across the pole.

c)

The flag was rotated 90° counter-clockwise and then reflected across the pole.

d)

The flag was translated 4 units down and then rotated 90° clockwise.

3.

Describe the two successive transformations that moved triangle XYZ to create the image triangle X"Y"Z".

a)

Translate the shape one square right, and then rotate 90° counter clockwise around vertex Z.

b)

Rotate 90° clockwise around vertex Y , and then translate four squares right and three squares down.

c)

Translate three squares right and then rotate clockwise three squares down.

d)

Reflect though the line XY , and then rotate 90° counter clockwise.

4.

What will be the location of vertex in the image's flipped position?

a)

(6, 14)

b)

(8, 14)

c)

(14, 6)

d)

(14, 8)

5.

Which of the students did not need to include any translations (slides) in order to create their pattern?

a)

Adeline

b)

Benin

c)

Colby

d)

Deng-Fui

6.

Which of the following does NOT show the translation of an image made up of two circles?

a)

b)

c)

d)

7.

If the smiley face shown above was rotated clockwise 270°, which of the following would show its new orientation?

a)

b)

c)

d)

8.

Which of the following describes the transformation from the RED hexagon to the BLUE one?

a)

Translation of 5 units right and 4 units down

b)

Translation of 5 units left and 4 units up

c)

Translation of 4 units right and 5 units down

d)

Translation of 4 units down and 4 units up

9.

One of the following graphs shows a translation of the letter T. Which one?

a)

b)

c)

d)

10.

Which of the triangles in the grid above is a reflection of the BLUE triangle in the line through the vertical axis at 6?

a)

The RED triangle

b)

The GREEN triangle

c)

The PURPLE triangle

d)

NONE of the triangles in the grid is a reflection of the BLUE one.

11.

A map of a classroom is placed on a grid.

Which ordered pair represents the position of the window?

a)

(22, 12)

b)

(4, 12)

c)

(20, 12)

d)

(12, 22)

12.

The coordinate grid shows point A, the position of a car in Townville. Point B shows the position of the same car after it reaches its destination in Urban City.

What are the coordinates of the car when it is half-way between Townsville and Urban City?

a)

(2, 6)

b)

(7, 2)

c)

(6, 2)

d)

(2, 5)

13.

Which of the following describes the transformation of Hexagon 1 (yellow) to Hexagon 2 (red)?

a)

A reflection across Line m

b)

A translation of 4 units right and 6 units down

c)

A translation of 4 units left and 6 units up

d)

A rotation of 360° clockwise around the origin

14.

In designing the entrance of his new house, Mike decided to have three steps leading down to the basement from the entrance landing. One of these steps is already drawn on the following grid:

If Mike wants to use repeated transformation to finish the required number of steps, which of the following would help him finish the design?

a)

The step should be translated 2 units up and 2 units right, twice.

b)

The step should be translated 3 units up and 3 units right, three times.

c)

The step should be translated 2 units down and 2 units left, twice.

d)

The step should be translated 3 units up and 3 units right, three times.

15.

Use the information in the grid below to answer the following question.

What would the coordinates of the point called A (green) be in its REFLECTED image?

a)

(0, 12)

b)

(12, 12)

c)

(12, 0)

d)

(0, 0)