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Published byJoslyn Routon Modified over 10 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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