Congruent Triangles Objective: Identify and solve problems that involve congruent triangles.

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Proving Triangles Congruent

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Presentation transcript:

Congruent Triangles Objective: Identify and solve problems that involve congruent triangles.

Corresponding Angles (Corr.  s) Corresponding angles are congruent

Consecutive Interior Angles (Consec. Int.) Sometimes called Same-Side Interior Angles (S-S Int) Consecutive/Same-side interior angles are supplementary (add to 180)

Alternate Interior Angles (Alt.Int.) Alternate interior angles are congruent

Alternate Exterior Angles Alternate exterior angles are congruent

AnglesName of angles Measure of angles ∠ 1 & ∠ 7 ∠ 4 & ∠ 5 ∠ 7 & ∠ 4 ∠ 8 & ∠ 6 ∠ 3 & ∠ 4 ∠ 5 & ∠ 1 ∠ 6 & ∠ 4 a b

CongruenceExample SSS – SAS- ASA- A B C F E D X Y Z Q R P M N P R P Y Side – Side- Side Side – Angle- Side Angle – Side- Angle

CongruenceExample AAS- HL - X F T R P Y Angle – Angle- Side Hypotenuse – Leg A B C D

A B C W X D Z Q R P Y Determine whether the triangles are congruent by SSS, SAS, ASA or AAS S T A B D C V

A BC D I F E G H Determine if the triangles are congruent. If so, tell why and write a congruence statement ZN // DK L K J M N O P RS TU V W X Examples Z N P D K