Question

which pair or pairs of polygons are congruent? a. 3 and 4 b. 1 and 3 c. 1, 3, and 4 d. 2, 3, and 4 e. 1, 2, 3, and 4

Explanation:

Step1: Analyze Pair 1

Check if the two polygons in pair 1 have the same shape and size. By visually inspecting the coordinates and the shape, they appear congruent (reflection or translation).

Step2: Analyze Pair 2

The two rectangles in pair 2: one has dimensions (e.g., height and width) that don't match the other. So not congruent.

Step3: Analyze Pair 3

The two polygons in pair 3: check their vertices and shape. They are congruent (rotation or reflection).

Step4: Analyze Pair 4

The two polygons in pair 4: their shape and size match (rotation or reflection). So pair 1, 3, 4 are congruent.

Answer:

C. 1, 3, and 4