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

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

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

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

Answer 1

Answer:

Segment YZ and segment Y"Z" are proportional after the dilation and congruent after the translation.

Step-by-step explanation:

Answer 2

Answer:

D) Segment YZ and segment Y"Z" are proportional after the dilation and congruent after the translation.

Step-by-step explanation:

After a dilation, a figure remains proportional because its angles and betweenness of points remain the same. After a translation, the image stays congruent to the pre-image.