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4-6 Isosceles and Equilateral Triangles

4-6 Isosceles and Equilateral Triangles. Ms. Andrejko. Real World. Vocabulary. Legs- the two congruent sides of an isosceles triangle Vertex Angles- the angle with sides that are the legs Base Angles- the two angles formed by the base and the congruent sides. Theorems/Corollaries.

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4-6 Isosceles and Equilateral Triangles

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  1. 4-6 Isosceles and Equilateral Triangles Ms. Andrejko

  2. Real World

  3. Vocabulary • Legs- the two congruent sides of an isosceles triangle • Vertex Angles- the angle with sides that are the legs • Base Angles- the two angles formed by the base and the congruent sides

  4. Theorems/Corollaries • T 4.10- If 2 sides of a triangle are congruent, then the angles opposite those sides are congruent • T 4.11- if 2 angles of a triangle are congruent then the sides opposite those angles are congruent • C 4.3- A triangle is equilateral if and only if it is equiangular • C 4.4- Each angle of an equilateral triangle measures 60°.

  5. Examples

  6. Practice

  7. Examples Refer to the figure • 1. If AC ≅ AD, name two congruent angles. • 2. If BE ≅ BC, name two congruent angles.

  8. Practice Refer to the figure • 3. If ∠EBA ≅ ∠EAB, name two congruent segments. • 4. If ∠CED ≅ ∠CDE, name two congruent segments.

  9. Example/Practice 1. m∠KML 2. m∠HMG 3. m∠GHM 4. If m∠HJM = 145, find m∠MHJ. 5. If m∠G = 67, find m∠GHM.

  10. Example

  11. Practice

  12. Mixed Review 110 70 30

  13. Mixed Review 50 12. AAS or ASA

  14. Mixed Review 20 90 40

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