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Triangle Congruence Shortcuts Review

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Presentation on theme: "Triangle Congruence Shortcuts Review"— Presentation transcript:

1 Triangle Congruence Shortcuts Review
Objective: To prove two triangles congruent using the shortcuts

2 Angles Included vs. Excluded

3 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)

4 Side-Side-Angle (SSA)
B ∆BAD ∆BAT T D A

5 Angle-Angle-Angle (AAA)
Is this statement true? ∆MNO ∆PQR

6 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!

7 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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