Question

Shape 1 and shape 2 are plotted on a coordinate plane. Which rigid transformation can you perform on shape 2 to show that shape 2 is congruent to shape 1? A. A 45° rotation clockwise about the origin B. A translation 6 units to the left and 8 units up C. A reflection across the x-axis D. A translation 3 units to the left and 6 units up.

Answer 1

The correct rigid transformation to show that shape 2 is congruent to shape 1 is a reflection across the x-axis.

Step-by-step explanation:

To show that shape 2 is congruent to shape 1, we need to perform a rigid transformation that leaves the appearance of shape 2 unchanged. A rigid transformation includes translations, rotations, and reflections. Let's consider the options given:

A. A 45° rotation clockwise about the origin: This will change the orientation of shape 2, so it is not a rigid transformation that preserves congruence.

B. A translation 6 units to the left and 8 units up: This will move shape 2 to a different position, so it is not a rigid transformation that preserves congruence.

C. A reflection across the x-axis: This will flip shape 2 vertically, but it will not change its position or orientation. Therefore, a reflection across the x-axis is a rigid transformation that preserves congruence between shape 1 and shape 2.

D. A translation 3 units to the left and 6 units up: This will move shape 2 to a different position, so it is not a rigid transformation that preserves congruence.

Therefore, the correct answer is C. A reflection across the x-axis.

Answer 2

The rigid transformation performed on shape 2 makes it congruent to shape 1 is b. a translation 6 units to the left and 8 units up

Which rigid transformation performed on shape 2 makes it congruent to shape 1

From the question, we have the following parameters that can be used in our computation:

The figure

Where, we have

Shape 1 and Shape 2

From the figure, we can see that

• Moving shape 2 up by 8 units and
• Moving shape 2 left by 6 units

Makes it congruent to shape 1

Hence, the rigid transformation is a translation 6 units to the left and 8 units up