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Section 4.5 Isosceles and Equilateral Triangles.notebook
October 24, 2016
10/24/16 ­ Warm Up Problem
Find the measure of each missing angle.
30
75
y
x
60
60
Oct 19­3:27 PM
1
Section 4.5 Isosceles and Equilateral Triangles.notebook
October 24, 2016
Section 4.5 Isosceles and Equilateral Triangles
Goal: use and apply properties of isosceles and equilateral triangles
Parts of an Isosceles Triangle
Legs: congruent sides
Leg
Leg
Base: third side
Base
Base Angles: formed by base and legs
Vertex Angle: formed by congruent legs
Oct 19­3:27 PM
2
Section 4.5 Isosceles and Equilateral Triangles.notebook
October 24, 2016
If we draw an angle bisector...
What proves the two halves congruent?
What do we know about the two base angles?
Oct 19­3:43 PM
3
Section 4.5 Isosceles and Equilateral Triangles.notebook
October 24, 2016
Theorem 4­3 Isosceles Triangle Theorem
If two sides of a triangle are congruent, then the two angles opposite those sides are _____________.
Oct 19­3:30 PM
4
Section 4.5 Isosceles and Equilateral Triangles.notebook
October 24, 2016
Theorem 4­4 Converse of the Isosceles Triangle Theorem
If two angles of a triangle are congruent, then the two sides opposite those angles are ___________.
Oct 19­3:30 PM
5
Section 4.5 Isosceles and Equilateral Triangles.notebook
October 24, 2016
Oct 21­12:21 PM
6
Section 4.5 Isosceles and Equilateral Triangles.notebook
October 24, 2016
Theorem 4­5
If a line bisects the vertex of an angle of an isosceles triangle, then the line is also the ____________________ of the base.
Oct 19­3:30 PM
7
Section 4.5 Isosceles and Equilateral Triangles.notebook
October 24, 2016
Corollary: a theorem that can be proved easily using another theorem
Corollary to Theorem 4­3
If a triangle is equilateral, then it is ___________
Corollary to Theorem 4­4
If a triangle is equiangular, then it is ___________
Oct 19­3:31 PM
8
Section 4.5 Isosceles and Equilateral Triangles.notebook
October 24, 2016
Assignment
Math XL 4.5 Assignment
Oct 19­3:48 PM
9
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