Question

1. line sd is a line of symmetry for figure asmhzdpx. tyler says that asdpx is congruent to smdzh because sides as and ms are corresponding.

a. why is tylers congruence statement incorrect?

b. write a correct congruence statement for the pentagons.

(from unit 2, lesson 2.)

Explanation:

Step1: Analyze congruence statement rules

Congruence statements must list corresponding vertices in order. Tyler's statement \(ASDPX\cong SMDZH\) does not follow the order of symmetry.

Step2: Determine correct vertex order

Since line \(SD\) is the line of symmetry, vertex \(A\) corresponds to \(M\), \(S\) corresponds to \(S\), \(D\) corresponds to \(D\), \(P\) corresponds to \(Z\), \(X\) corresponds to \(H\).

Answer:

a. Tyler's congruence statement is incorrect because the order of vertices does not follow the line - of - symmetry correspondence.
b. \(ASDPX\cong MSDZH\)