Question

Which pair of polygons are congruent?

A) pairs 1,2,3,and 4
B) pairs 1 and 4
C) pairs 1,2,and 3
D) pairs 2 and 4

Answer 1

I think it’s D) Pairs 2 and 4

Answer 2

Answer: D) pairs 2 and 4

Pair 2 shows one figure rotated 180 degrees compared to the other, and translated as well. So they are congruent (ie the same).

Pair 4 shows one triangle reflected over the vertical line x = 22 to get the other triangle; which shows they are the same triangle.

The other pairs are not congruent. You can show that the areas of each figure being different is enough to prove they aren't the same figure.