Question

which composition of transformations will create a pair of similar, not congruent triangles?
○ a rotation, then a reflection
○ a translation, then a rotation
○ a reflection, then a translation
○ a rotation, then a dilation

Explanation:

• Rotation, reflection, translation are rigid transformations (preserve size/shape, so congruent).
• Dilation changes size (scales), so after rotation (rigid) + dilation, triangles are similar (same shape, different size) not congruent.

Answer:

D. a rotation, then a dilation