Question

Triangle XYZ is translated by the rule (x + 1, y − 1) and then dilated by a scale factor of 4 centered at the origin. Which statement describes the properties of triangles XYZ and X''Y''Z'' after the transformations?

Y and ∠Y'' are congruent after the translation, but not after the dilation.

∠Y and ∠Y'' are congruent after the dilation, but not after the translation.

segment YZ and segment Y double prime Z double prime are proportional after the translation, but not after the dilation.

segment YZ and segment Y double prime Z double prime are proportional after the dilation and congruent after the translation.

Answer 1

the answer is c.13 on ed trust

Explanation:

Answer 2

Option D.

Explanation:

Translation: It is a rigid transformation. It means size and shape of the figure remains same after translation. In translation, a figure is shifted from one place to another without any other changes.

It means corresponding angles and sides are congruent after the translation.

Dilation: It is the enlargement or reduction of a figure. In dilation, the shape of image and preimage are same but the size is different.

It means corresponding angles are congruent after but sides are proportional after the dilation.

`\angle Y\cong \angle Y''` (After the translation and dilation)

So, options A and B are incorrect.

YZ and Y''Z'' are proportional after the dilation and congruent after the translation.

Therefore, the correct option is D.