Question

The red figure is congruent to the blue figure. Choose two different sequences of transformations in which the blue figure is the image of the red figure.
1. Rotate 90° counterclockwise about the origin and then translate 5 units left.
2. Reflect across the y-axis and then rotate clockwise 180° about the origin.
3. Rotate 180° about the origin.
4. Rotate 90° clockwise about the origin and then translate 1 unit right and 5 units up.

Answer 1

Answer:

• 1 and 4

Step-by-step explanation:

1. Rotate 90° counterclockwise about the origin and then translate 5 units left.

• Correct

2. Reflect across the y-axis and then rotate clockwise 180° about the origin.

• Incorrect, this ends up in the first quadrant, additional translation is required

3. Rotate 180° about the origin.

• Incorrect, additional translation is required followed by rotation.

4. Rotate 90° clockwise about the origin and then translate 1 unit right and 5 units up.

• Correct

Answer 2

QUESTION:

The red figure is congruent to the blue figure. Choose two different sequences of transformations in which the blue figure is the image of the red figure.

ANSWER:

[i] Rotate 90° counterclockwise about the origin and then translate 5 units left.

[iv] Rotate 90° clockwise about the origin and then translate 1 unit right and 5 units up.

NOTE: See picture attached.