Question

line sd is a line of symmetry for figure axpdzhms. noah says that axpdzs is congruent to hmzds because sides ax and hm are corresponding.
why is noahs congruence statement incorrect?

Explanation:

Step1: Recall congruence rules

In congruent figures, all corresponding parts (sides and angles) must match. Just having one - pair of corresponding sides equal is not enough.

Step2: Analyze Noah's statement

Noah only considered one pair of corresponding sides (AX and HM). For two polygons to be congruent, all corresponding sides and all corresponding angles must be congruent. Since he didn't check all sides and angles, his congruence statement is incorrect.

Answer:

Noah only considered one pair of corresponding sides (AX and HM). For two polygons to be congruent, all corresponding sides and all corresponding angles must be congruent.