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___ let Kayln Marie Van Asperen-Yost -
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( & ) Ona Strickland
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USE ISOSCELES AND EQUILATERAL TRIANGLES
Warm up! USE ISOSCELES AND EQUILATERAL TRIANGLES For questions 1-3, classify each triangle by its sides. 2 cm, 2 cm, 2 cm ft, 11 ft, 7 ft 3. 9m, 8m, 10 m Equilateral Isosceles Scalene
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Vocabulary Isosceles Triangle: Legs: Base: Vertex Angle: Base Angles:
has at least 2 sides The 2 sides that are congruent The side that is not congruent (if it only has 2 sides) S O I The angle between the 2 legs of the triangle The 2 angles attached to the base I and 0
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BASE ANGLES THEOREM C A C B
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CONVERSE OF BASE ANGLES THEOREM
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Example 1 In ΔFGH, FH GH. Name two congruent angles.
G is congruent to F
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GUIDED PRACTICE Complete the statement
1. If HG HK, then ______ ________ 2. If KHJ KJH, then ______ _______ G HKG Extra: What are the base angles of an isosceles right triangle?
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A triangle is equilateral if and only if it is ___________
equiangular equilateral A triangle is equilateral if and only if it is ___________ equiangular
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Example 2: Find the measures of R, S, T Is it possible for an equilateral triangle to have an angle measure other than 60? No
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Example 3: Find the values of x and y in the diagram.
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Example 4: Find the values of x and y in the diagram.
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Practice Problems:
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Find the values of x and y.
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