Drill Write your homework in your planner Take out your homework What postulate would you use to prove the triangles below congruent?

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Proving Triangles Congruent

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Presentation transcript:

Drill Write your homework in your planner Take out your homework What postulate would you use to prove the triangles below congruent?

Homework

Proving Triangles Congruent There are five ways Yesterday we learned SSS, SAS Today we continue!

Angle-Side-Angle Postulate (ASA) If two angles and the INCLUDED side of a triangle are congruent to two angles and the INCLUDED side of another triangle, then the triangles are congruent.

Angle-Angle-Side Theorem (AAS) If two angles and a non-included side of a triangle are congruent to two angles and a non-included side of another triangle, then the triangles are congruent.

Proof: AAS Hint: Do not use AAS, we are trying to PROVE AAS!

Hypotenuse-Leg Theorem (HL) In a right triangle, if the hypotenuse and one leg are congruent to the hypotenuse and one leg of another right triangle, then the two triangles are congruent.

Proof: HL

Proving Triangles Congruent SSS SAS ASA AAS HL The order of the letters matters: SAS means two sides with the angle between ASA means two angles with the side between AAS means two angles and a side NOT between

Prove: ΔABC ≅ ΔDEF