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4.6 Isosceles, Equilateral, & Right Triangles 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: Given PQS WXY. List all corresponding parts of the congruent triangles. 4.6 Isosceles, Equilateral, & Right Triangles 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 … 4.6 Isosceles, Equilateral, & Right Triangles Proofs 4.6 Isosceles, Equilateral, & Right Triangles Proofs 4.6 Isosceles, Equilateral, & Right Triangles Proofs 4.6 Isosceles, Equilateral, & Right Triangles HMWK: p. 240, #17 – 25, 33, 34 (two proofs) 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 4.6 Isosceles, Equilateral, & Right Triangles Remember Isosceles Triangle Right Triangle 4.6 Isosceles, Equilateral, & Right Triangles 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. 4.6 Isosceles, Equilateral, & Right Triangles Equilateral Triangles Corollary: If a triangle is equilateral, then it is equiangular. Corollary: If a triangle is equiangular, then it is equilateral. 4.6 Isosceles, Equilateral, & Right Triangles 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. 4.6 Isosceles, Equilateral, & Right Triangles Wrap-Up We now have five different methods to prove triangles are congruent. List all 5 ways. SSS, SAS, ASA, AAS, HL Looking at … •Quiz 4.1 – 4.1 on Friday •Test on Chapter 4 next Tuesday.