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Lesson 4.8 ­ Isosceles and Equilateral Triangles.notebook
September 29, 2016
Lesson 4.8
Isosceles and Equilateral
Triangles
To use and apply properties of isosceles and equilateral triangles.
Isosceles Triangle:
At least 2 congruent sides.
Leg
Leg
Base
Legs: congruent sides
Base: the third side
Vertex Angle: formed by congruent legs
Base Angles: other two angles
Base Angles Theorem: If two sides of a triangle are congruent, then the angles opposite the two sides are also congruent.
Converse of Base Angles Theorem: If two angles of a triangle are congruent, then the sides opposite the angles are congruent.
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Lesson 4.8 ­ Isosceles and Equilateral Triangles.notebook
September 29, 2016
Equilateral Triangle: 3 Congruent sides
A triangle is equilateral iff it is equiangular.
Each angle of an equilateral triangle is 600.
a. Find the value of x
50
b. Find the value of y.
y
x
a. Find the value of x
b. Find the value of y.
y
x
50
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Lesson 4.8 ­ Isosceles and Equilateral Triangles.notebook
September 29, 2016
What is the value of x?
A
54
D
C
x
B
Example:
Isosceles Δ DEF with <D is the vertex angle
m<E = 2x + 40
m<F = 3x + 22
Find the measure of each angle.
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