Target Due Assignment

4.5 1/15 p. 257: 11, 12, 14-18, 22, 24, 26-29

Objectives

Apply ASA, AAS, and HL to construct triangles and to solve problems.

Prove triangles congruent by using ASA, AAS, and HL.

Holt Geometry

4-5 Triangle Congruence: ASA, AAS, and HL

A side that is between two

marked angles Included side

Holt Geometry

4-5 Triangle Congruence: ASA, AAS, and HL

Identify the postulate or theorem that proves the triangles congruent.

ASAHL

AAS or ASA3.

Holt Geometry

4-5 Triangle Congruence: ASA, AAS, and HL

Determine if you can use ASA to prove the triangles congruent. Explain.

We would need to know that the included sides are congruent.

• All we can see in the picture is that the smallest sides, the one they share, are congruent. (we could us AAS)

Holt Geometry

4-5 Triangle Congruence: ASA, AAS, and HL

Determine if you can use the HL Congruence Theorem to prove the triangles congruent. If not, tell what else you need to know.

These triangles are congruent because of HL congruence. • The side they share is a leg of the

right triangles

• we can also see the hypotenuse of the triangles are congruent in the picture.

Holt Geometry

4-5 Triangle Congruence: ASA, AAS, and HL

Given: JL bisects KLM, K M

Prove: JKL JML

Statement Justification

K M given

JL bisects KLM given

KLJ= MLJ Def of angle bisector

JL= JL Reflexive property

JKL JML AAS.

Holt Geometry

4-5 Triangle Congruence: ASA, AAS, and HLTarget Due Assignment

4.5 1/15 p. 257: 11, 12, 14-18, 22, 24, 26-29