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Isosceles Triangles
1.
Properties of Isosceles
Triangles Objectives: Discover a relationship between the base angles of an isosceles triangle.
2.
Isosceles Triangle
– at least two sides have the same length 9 9 4 3 miles 3 miles 8 miles 5 5 5
3.
equilateral triangle :
isosceles triangle with all three sides are congruent 7 7 7
4.
Parts of Isosceles
Triangle : vertex angle – between two sides
5.
Parts of Isosceles
Triangle : base angles – angles opposite sides
6.
Parts of Isosceles
Triangle : base – side opposite vertex
7.
Name each part
of the isosceles triangle below. vertex angle
8.
Name each part
of the isosceles triangle below. base
9.
Name each part
of the isosceles triangle below. base angles
10.
Isosceles Triangle Theorem
If a triangle is isosceles, then _______________________. base angles are congruent
11.
Converse of Isosceles
Triangle : If a triangle has two congruent angles, it is an isosceles triangle.
12.
Equilateral Triangle:
An equilateral triangle is equiangular and an equiangular triangle is equilateral.
13.
Find the missing
angle measures. 68 44 a m a = m b= b 68
14.
Find the missing
angle measures. 119 30.5 c m c = m d= d 30.5
15.
Find the missing
angle measures. 60 60 e m e = m f = m g = f 60 g
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