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4.6 Isosceles Triangles. Objectives Use properties of isosceles triangles Use properties of...

Date post: 29-Dec-2015
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4.6 Isosceles 4.6 Isosceles Triangles Triangles
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  • 4.6 Isosceles Triangles

  • ObjectivesUse properties of isosceles triangles Use properties of equilateral triangles

  • Properties of Isosceles TrianglesThe formed by the sides is called the vertex angle. The two sides are called legs. The third side is called the base. The two s formed by the base and the legs are called the base angles. leglegbasevertex

  • Isosceles Triangle TheoremTheorem 4.9 If two sides of a are , then the s opposite those sides are (if AC AB, then B C).ABC

  • Example 1:

  • Proof: Example 1:

  • Your Turn:

  • Proof: Your Turn:

  • The Converse of Isosceles Triangle TheoremTheorem 4.10If two s of a are , then the sides opposite those s are (if B C, then AC AB).

  • Answer:Example 2:

  • Answer:Example 2:

  • a. Name two congruent angles. Answer:Answer:b. Name two congruent segments. Your Turn:

  • Properties of Equilateral sCorollary 4.3 A is equilateral iff it is equiangular. Corollary 4.4 Each of an equilateral measures 60.

  • Example 3a:

  • Answer:Add.Exterior Angle TheoremSubstitutionExample 3a:

  • Subtract 75 from each side.Linear pairs are supplementary.SubstitutionAnswer: 105Example 3b:

  • a. Find x. b. Answer: 90Answer: 30Your Turn:


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