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HMWK: p. 232, #s 4 – 18 p. 240, #17 – 25, 33, 34 (two proofs)

Game Plan: Today I will be able to use congruent triangles to plan and write proofs. Today I will be able to apply properties of isosceles, equilateral & right triangles to determine measures and prove congruent triangles. Warm-up:

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HMWK: p. 232, #s 4 – 18 p. 240, #17 – 25, 33, 34 (two proofs)

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  1. Game Plan: Today I will be able to use congruent triangles to plan and write proofs. Today I will be able to apply properties of isosceles, equilateral & right triangles to determine measures and prove congruent triangles. Warm-up: Given PQSWXY. List all corresponding parts of the congruent triangles. HMWK:p. 232, #s 4 – 18 p. 240, #17 – 25, 33, 34 (two proofs)

  2. CPCTC • CPCTC: Corresponding Parts of Congruent Triangles are Congruent. why? … In order to have congruent triangles all corresponding parts of the triangle must be congruent. so …

  3. Proofs

  4. Proofs

  5. Proofs

  6. Game Plan: Today I will be able to apply properties of isosceles, equilateral & right triangles to determine measures and prove congruent triangles. Warm-up: How many acute, obtuse, and right angles does each triangle have? 1. Acute triangle 2. Right triangle 3. Obtuse triangle 4. Equilateral triangle HMWK:p. 240, #17 – 25, 33, 34 (two proofs)

  7. Remember Isosceles Triangle Right Triangle

  8. Isosceles Triangles Base Angle Thm: If two sides of a triangle are congruent, then the angles opposite them are congruent. Converse Base Angle Thm: If two angles of a triangle are congruent, then the sides opposite them are congruent.

  9. Equilateral Triangles Corollary: If a triangle is equilateral, then it is equiangular. Corollary: If a triangle is equiangular, then it is equilateral.

  10. Right Triangles Hypotenuse-Leg (HL) Thm: If the hypotenuse and a leg of a right triangle are congruent to the hypotenuse and a leg of a second right triangle, then the two triangles are congruent.

  11. Looking at … • Quiz 4.1 – 4.1 on Friday • Test on Chapter 4 next Tuesday. Wrap-Up We now have five different methods to prove triangles are congruent. List all 5 ways. SSS, SAS, ASA, AAS, HL

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