Question

Triangle XYZ with vertices X(-1,1),Y(2,2)and Z(0,0) is shown in the figure below.

Answer 1

A dilation makes a figure larger or smaller, but has the same shape as the original. In other words, the dilation is similar to the original.

To determine if triangles are similar we consider the following

These three theorems, known as Angle - Angle (AA), Side - Angle - Side (SAS), and Side - Side - Side (SSS), are foolproof methods for determining similarity in triangles.

hence looking at the options

The only sufficient option to make triangle XYZ to be similar to triangle MNP is option B

That is

Angle X is congruent to angle M and Angle Y is congruent to angle N