4-5 isosceles and equilateral triangles learning goal 1. to use and apply properties of isosceles...
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4-5
Isosceles and Equilateral Triangles
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Learning Goal
1. To use and apply properties of isosceles and equilateral
triangles.
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Vertex angle: The angle formed by the two congruent sides of an
isosceles triangle.
Base: Side opposite the vertex angle of an isosceles triangle.
Legs: Congruent sides of an isosceles triangle.
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Parts of an Isosceles Triangle
Draw this big and label it with the definitions.
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Vertexangle
Base
Leg Leg
Baseangle
Baseangle
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Isosceles Triangle Theorem
If two sides of a triangle are congruent, then the angles opposite those sides are
congruent.
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If ON = OJ, then J = N
O
J
N
~ ~
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Converse of Isosceles Triangle Theorem
If two angles of a triangle are congruent, then the sides opposite those angles are
congruent.
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If S = A, then SM = AM
S
A
M
~ ~
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Theorem 4-5
If a line bisects the vertex angle of an isosceles triangle, then the
line is also the perpendicular bisector of the base.
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Theorem 4-5
If a line bisects the vertex angle of an isosceles triangle, then the
line is also the perpendicular bisector of the base.
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Turn to page 253.
10
1-3, 11-17, 25, 28, 30-32
5 Points: 100% Complete 4 Points: 80% Complete 3 Points: 60% Complete 2 Points: 40% Complete
1 Point: 20% Complete