Question

Show that polygons are congruent by identifying all congruent corresponding parts. Then write a congruence statement.

Answer 1

1.

WX=XY ; ∠XZW = ∠XZY ; XZ=XZ

2.

RS=UT ; RQ=QU ; SP=PT ; ∠UTP=∠RSP ; ∠RQP=∠UQP ;

3.

AB=EF ; AD=CF ; DB=EC ; ∠ADB=∠ECF ; ∠DAB=∠EFC ; ∠ABD ; ∠CEF

SAS: If two sides and the angle between them in a triangle are congruent, respectively, to two sides and the angle between them in another triangle, then the triangles are congruent.

ASA: If one side and its two adjacent angles in one triangle are congruent, respectively, to one side and its adjacent angles in another triangle, then the triangles are congruent.

SSS: If three sides of a triangle are congruent, respectively, to three sides of another triangle, then the triangles are congruent.