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Warm-Up Exercises Bell Work For 1-3, Classify each triangle by its sides. 1. 2 cm, 2 cm, 2 cm 2. 7 ft, 11 ft, 7 ft 3. 9 m, 8 m, 10 m 4. In ∆ABC, if m A = 70º and m B = 50º, what is m C? 5. In ∆DEF, if m D = m E and m the measure of D and E F = 26º, What are Warm-Up Exercises Notes Base Angles Theorem If two sides of a triangle are congruent, then the angles opposite them are congruent. Converse of Base Angles Theorem If two angles of a triangle are congruent, then the sides opposite them are congruent. Warm-Up1Exercises EXAMPLE Apply the Base Angles Theorem In DEF, DE DF . Name two congruent angles. Warm-Up Exercises GUIDED PRACTICE for Example 1 Copy and complete the statement. 1. If HG HK , then ? ? . Warm-Up Exercises GUIDED PRACTICE for Example 1 Copy and complete the statement. 2. If KHJ KJH, then ? ? . Warm-Up Exercises Notes Corollary to the Base Angles Theorem If a triangle is equilateral, then it is equiangular. Corollary to the Converse of Base Angles Theorem If a triangle is equiangular, then it is equilateral. Warm-Up2Exercises EXAMPLE Find measures in a triangle Find the measures of P, Q, and R. Warm-Up Exercises GUIDED PRACTICE 3. for Example 2 Find ST in the triangle at the right. Warm-Up Exercises GUIDED PRACTICE 4. for Example 2 Is it possible for an equilateral triangle to have an angle measure other than 60°? Explain. Warm-Up3Exercises EXAMPLE Use isosceles and equilateral triangles ALGEBRA Find the values of x and y in the diagram. Warm-Up4Exercises EXAMPLE Solve a multi-step problem Lifeguard Tower In the lifeguard tower, PS and QPS PQR. QR a. What congruence postulate can you use to prove that QPS PQR? b. Explain why c. Show that PQT is isosceles. PTS QTR. Warm-Up Exercises GUIDED PRACTICE 5. for Examples 3 and 4 Find the values of x and y in the diagram. Daily Homework Warm-Up Exercises Quick CheckQuiz Find the value of x. Find the value of x. 1. 2. 3. If the measure of vertex angle of an isosceles triangle is 112°, what are the measures of the base angles? Warm-Up Exercises For Tomorrow Homework HW: 4.8 (pg. 267-269) # 8,12,16,24,34,38,40,41
