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4-6 Isosceles and Equilateral Triangles
Ms. Andrejko
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Real World
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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
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Theorems/Corollaries
T If 2 sides of a triangle are congruent, then the angles opposite those sides are congruent T if 2 angles of a triangle are congruent then the sides opposite those angles are congruent C A triangle is equilateral if and only if it is equiangular C 4.4- Each angle of an equilateral triangle measures 60°.
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Examples
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Practice
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Examples Refer to the figure 1. If AC ≅ AD, name two congruent angles.
2. If BE ≅ BC, name two congruent angles.
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Practice Refer to the figure
3. If ∠EBA ≅ ∠EAB, name two congruent segments. 4. If ∠CED ≅ ∠CDE, name two congruent segments.
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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.
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Example
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Practice
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Mixed Review 110 70 30
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Mixed Review 50 12. AAS or ASA
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Mixed Review 20 90 40
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