Question

Please help me! No links

Two transformations are performed on a figure on a coordinate plane. The first transformation is a translation 8 units to the left. Which second transformation will result in an image that is similar to, but not congruent to, the original figure?

A: A clockwise rotation of 90° about the center.

B: A clockwise rotation of 180° about the center.

C: A dilation by a scale factor of 1 with the origin as the center of dilation.

D: A dilation by a scale factor of 1/2 with the origin as the center of dilation.

Answer 1

B I think I’m not sure

Answer 2

The correct answer is: D) A dilation by a scale factor of 1/2 with the origin as the center of dilation.

The other options are incorrect:

A) A clockwise rotation of 90° about the center: This would rotate the figure, but it wouldn't change its size or shape, making it congruent to the original figure.

B) A clockwise rotation of 180° about the center: This would flip the figure, but it wouldn't change its size or shape, making it congruent to the original figure but mirrored.

C) A dilation by a scale factor of 1 with the origin as the center of dilation: This would not change the size or shape of the figure at all, so it would be congruent to the original figure.

Dilation by a scale factor of 1/2, on the other hand, will maintain the shape of the figure but shrink it by half. This will create an image that is similar to the original figure but with different corresponding point coordinates, making it non-congruent.

Therefore, only option D achieves the desired result of creating a similar but non-congruent image after the translation.