Question

If triangle RST is congruent to triangle WXY, by the Angle-Side-Angle Theorem, which transformation would not map triangle RST to triangle WXY?

a. Horizontal shift 4 units left
b. Reflection across the y axis
C. Dilation with a scale factor of 3
d. Rotation of 90° around the origin​

Answer 1

C. dilation with a scale factor of 3

Explanation:

If triangle RST is congruent to triangle WXY by the Angle-Side-Angle Theorem, then a **dilation with a scale factor of 3** would not map triangle RST to triangle WXY. Congruent triangles have the same shape and size, meaning that their corresponding sides and angles are equal. A dilation changes the size of a figure but not its shape, so it would not preserve congruence between the two triangles.