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HOMEWORK Look it up on yesterday’s notes!!!! 4-4 ISOSCELES TRIANGLE THEOREM Reasons for Warm Up 1) Given 2) Definition of Angle Bisector 3) Reflexive 4) SAS 5) CPCTC PROOFS IN GENERAL Statement Reason Given Given Sides or Angles are congruent Use the given or the picture Triangles are congruent SSS, SAS, ASA Sides or Angles are congruent CPCTC There can be more!!! LET’S LOOK BACK AT THE WARM UP What kind of triangle is ABC? Isosceles because two sides are congruent Is there anything else congruent on the triangle? Yes, two angles Theorem: If 2 sides of a triangle are congruent, then the angles opposite these sides are also congruent. Theorem: If 2 angles of a triangle are congruent, then the sides opposite these angles are also congruent. EXAMPLES 1. 2. 30 x x 2x + 2 30 x x 180 x 75 2x 4 x 5 x 9 TOO: FIND X 1) 2) Find the missing angle. Figure out the congruent sides. x = 42 42 62 56 41 62 x TOO: FIND X 1) 2) Find the congruent angles. Find the missing angle. x x = 40 70 70 HOMEWORK Page 137 #1-10, 13-16 #13-14 are 4 steps Flash Cards: Isosceles Triangle Theorem