Objective: discover conditions to prove triangles are congruent.

Two figures are congruent if and only if :one can be mapped onto the other by one or more rigid transformations.

Warm up1. Are the two triangles congruent? Justify your answer.

(1) transformation

(2) transformation

Congruent triangles

Congruence Shortcuts?

Gizmo: Proving Triangles Congruentwww.explorelearning.com2. Determine which conditions guarantee congruency of

triangles.AAA, SSS, SS, SAS, SSA, ASA, SAA

Congruent triangle conjectures• SSS (three sides are congruent)• SAS (two sides and the included angle)

• ASA (two angles and the included side)

• AAS (two angles and the non-included side)

Example 1

Are triangle RQP and triangle VTS congruent? Justify your answer.

Example 2Determine which triangles are congruent. Name the congruence conjecture that justify your answer.

a.

b.

c.

d.

Example 3

ClassworkPg 224 #4-9,12,13,18,19

Pg #229 #4-12,14,15