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Benchmark 21 I can identify congruency theorems, SSS, SAS, ASA, AAS, and HL in diagrams.

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Presentation on theme: "Benchmark 21 I can identify congruency theorems, SSS, SAS, ASA, AAS, and HL in diagrams."— Presentation transcript:

1 Benchmark 21 I can identify congruency theorems, SSS, SAS, ASA, AAS, and HL in diagrams

2 Side-Side-Side Postulate
If three sides of a Δ are  to three sides of another Δ, then the Δ’s are . A X C B Z Y If AB  XY, BC  YZ, AC  XZ, then ΔABC  ΔXYZ

3 Side-Angle-Side Postulate
If two sides and the included angle of a Δ are  to two sides and the included angle of another Δ, then the Δ’s are . A B C X Y Z If AB  XY, BC  YZ, and <B  <Y then ΔABC  ΔXYZ

4 Angle-Side-Angle Postulate
If 2 <‘s and the included side of a Δ are  to 2 <‘s and the included side of another Δ, then the Δ’s are . A X C B Z Y If <A  <X, <B  <Y, AB  XY, then ΔABCΔXYZ

5 Angle-Angle-Side Theorem
If 2 <‘s and a non-included side of a Δ are  to 2 <‘s and a non-included side of another Δ, then the Δ’s are . A B C X Y Z If <A  <X, <B  <Y, and BC  YZ then ΔABCΔXYZ

6 Hypotenuse-Leg Theorem
If hypotenuse and a leg of a Δ are  to the hypotenuse and a leg of another Δ, then the Δ’s are . A B C X Y Z If AC  XZ, and BC  YZ then ΔABC  ΔXYZ

7 What method is used to prove the triangles are congruent?
SSS SAS AAS ASA

8 What method is used to prove the triangles are congruent?
SAS AAS AAS SAS

9 What method is used to prove the triangles are congruent?
SAS AAS HL SAS


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