214,274 views
26 votes
26 votes
5KGiven: KZ || NP, KL & PNProve: ARML & APMNMPNStatementsReasons1.1.2.2.3.3.4.4.5.5.

User MasterOfTheHouse
by
2.9k points

1 Answer

16 votes
16 votes

Statements Reasons

1. KL = PN 1. given

2. KL // PN 2. given

3. angle LKM = Angle NPM 3. alternate angles are congruent

4. angle MLK = angle MNP 4. alternate angles are congruent

5. Triangle KML = Triangle PMN 5. ASA theorem

The Angle-Side-Angle theorem (ASA)

if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.

User Tarun Gupta
by
2.7k points