Question

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

Explanation:

a. In congruence statements, vertices must be listed in corresponding order. Noah did not list the vertices of the pentagons in the order that reflects the symmetry and corresponding parts. Just because two sides are corresponding does not mean the congruence statement is correct as written without proper vertex - order.
b. Since line SD is a line of symmetry, the corresponding vertices of the two pentagons can be determined by reflection across the line SD. The correct congruence statement should list the vertices in the order of their correspondence.

Answer:

a. The vertices are not listed in corresponding order.
b. AXPSD≅HMZSD (assuming vertices are named in corresponding order based on the line of symmetry SD)