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Triangle Congruence Shortcuts Review
Objective: To prove two triangles congruent using the shortcuts
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Angles Included vs. Excluded
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Three Parts? Side-Angle-Side (SAS) Side-Side-Side (SSS)
Angle-Side-Angle (ASA) Side-Angle-Angle (SAA) Side-Side-Angle (SSA) Angle-Angle-Angle (AAA)
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Side-Side-Angle (SSA)
B ∆BAD ∆BAT T D A
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Angle-Angle-Angle (AAA)
Is this statement true? ∆MNO ∆PQR
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Yes! Which two triangles are congruent by ASA? Explain.
To use ASA, we need two pairs of congruent angles and a pair of included congruent sides. Do congruent sides have congruence markings (ticks)? Yes!
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Angle-Angle-Side (AAS)
Deductive Reasoning Statement Reason B Given Given C A Given Y Third angle Conjecture X Z ∆ABC ∆XYZ AAS Conjecture (and ASA)
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