Question

which triangles are congruent to △a? choose all that apply. triangle b triangle c triangle d triangle e

Explanation:

Step1: Recall congruence criteria

Congruent triangles have same shape and size. We can check side - lengths and angles by counting grid units.

Step2: Analyze side - lengths of triangle A

Triangle A has sides that can be measured using the grid. Let's assume each grid square has side - length 1. We can use the Pythagorean theorem for non - vertical and non - horizontal sides.

Step3: Compare with other triangles

Triangle B is smaller. Triangle C has different side - length ratios. Triangle D has the same side - lengths as triangle A when measured using the grid and Pythagorean theorem for slanted sides. Triangle E has different side - lengths.

Answer:

D. Triangle D