Question

Triangles A B C and X Y Z are shown. The length of side A B is 6 and the length of side B C is 5. The length of side X Y is 1.5, the length of side Y Z is 1.25, and the length of X Z is 1. Angles A B C and X Y Z are congruent. Angles B C A and Y Z X are congruent. Triangle X Y Z is slightly higher and to the right of triangle A B C. Line m is shown below both triangles. Which sequence of transformations could map △ABC to △XYZ? A reflection across line m and a dilation a dilation by One-fourth and a reflection across line m a rotation about C and a dilation a dilation by One-fourth and a translation

Answer 1

D, a dilation by One-fourth and a translation

Explanation:

Answer 2

a dilation by One-fourth and a translation

Explanation:

From the description, the diagram will look like the one shown in the attachment.

We can calculate the scale factor to obtain
`k=(1.5)/(6) =(1)/(4)`

Since triangle XYZ is similar to trangle ABC but smaller in size and shifted to the right and up, the sequence transformation is a dilation by One-fourth and a translation.

The last choice is correct