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 ΔABCΔXYZ
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
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