Question

two triangles are shown. which single transformation can be used to show that the two triangles are congruent? a dilation b rotation c reflection d translation

Explanation:

Step1: Analyze dilation

Dilation changes the size of a figure, and congruent figures have the same size. So dilation is not correct.

Step2: Analyze rotation

Rotation turns a figure around a point. The orientation of the two given triangles is not related by a simple rotation.

Step3: Analyze reflection

Reflection flips a figure over a line. The two triangles do not appear to be related by a reflection.

Step4: Analyze translation

Translation moves a figure without changing its size, shape or orientation. By observing the two triangles, we can see that one triangle can be moved vertically (down - 10 units) to coincide with the other. This is a translation.

Answer:

D. translation