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Published byJoslyn Routon Modified over 4 years ago

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

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**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

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**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

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**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 ΔABCΔXYZ

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**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 ΔABCΔXYZ

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**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

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**What method is used to prove the triangles are congruent?**

SSS SAS AAS ASA

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**What method is used to prove the triangles are congruent?**

SAS AAS AAS SAS

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**What method is used to prove the triangles are congruent?**

SAS AAS HL SAS

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