HyA and HyL Math PpT.
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This document contains examples and explanations of right triangles and proofs of triangle congruence using corresponding parts of right triangles or angle-side-angle (ASA) logic. It demonstrates that the legs of a right triangle are perpendicular and uses examples to prove triangles congruent when their corresponding parts are equal. One proof shows two right triangles are congruent because they share a right angle and two equal sides, applying the Hypotenuse-Leg theorem.
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HyA and HyL Math PpT.
- 1. ACTIVITY 8
- 2. ( )
- 5. The legs are the two shorter sides of a right triangle. The legs of a right triangle are perpendicular to each other.
- 7. EXAMPLE
- 8. *HY is congruent to LE *HP is congruent to LG *So, ΔHYP ≅ ΔLEG.
- 10. PROOF: STATEMENT REASON MT ⊥ AH ? AM≅MH ? ∠MTA and ∠MTH are right angles ? ΔMTA and ΔMTH are right triangles. ? MT ≅ MT ? ΔMAT ≅ ΔMHT ?
- 11. GIVEN
- 21. * AC ≅ XZ * ∠ 퐶 ≅ ∠ 푍 * So, Δ 퐴퐵퐶 ≅ Δ 푋푌푍
- 22. GIVEN: PROVE:
- 23. STATEMENTS REASONS ∠ 퐴 ≅ ∠ 퐷 GIVEN AB ≅ 퐷퐸 GIVEN ∠ 퐶 ≅ ∠ 퐹 DEFINITION OF RIGHT ANGLES Δ 퐴퐵퐶 ≅ Δ 퐷퐸퐹 ASA CONGRUENCE Δ 퐴퐵퐶 ≅ Δ 퐷퐸퐹 HyA CONGRUENCE POSTULATE
- 24. :SUMMARIZATION: