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

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

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

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

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

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

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

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

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

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

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