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Chapter 4: Congruent Triangles

Chapter 4: Congruent Triangles. 4.6 Congruence in Right Triangles. Right Triangles. Theorem 4-6. Hypotenuse-Leg (HL) Theorem If the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and a leg of another right triangle, then the triangles are congruent.

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Chapter 4: Congruent Triangles

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  1. Chapter 4: Congruent Triangles 4.6 Congruence in Right Triangles

  2. Right Triangles

  3. Theorem 4-6 • Hypotenuse-Leg (HL) Theorem • If the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and a leg of another right triangle, then the triangles are congruent.

  4. Proof of the HL Theorem • Given: ΔPQR & ΔXYZ are right triangles • Prove:

  5. Example 2 • Given: AD is the perpendicular bisector of CE • Prove:

  6. Example 3 • Given: W & K are right angles • Prove:

  7. Example 3a • Given: PRS & RPQ are right angles • Prove:

  8. Example 4 • Given: LO bisects angle MLN • Prove:

  9. Homework • p. 237 • 3, 4, 6-8, 10, 11, 13, 14

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