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Transcript
geom Section 4.5 Isosceles and Equilateral Triangles.notebook
November 03, 2016
11/3/16 ­ Warm Up Problem
Find the measure of each missing angle.
30
75
y
x
60
60
geom Section 4.5 Isosceles and Equilateral Triangles.notebook
Concept 8­10 Quiz
Write the equation of the line that is perpendicular to the line y = 3x­9 and goes through the point (9,3).
November 03, 2016
geom Section 4.5 Isosceles and Equilateral Triangles.notebook
November 03, 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
geom Section 4.5 Isosceles and Equilateral Triangles.notebook
If we draw an angle bisector...
What proves the two halves congruent?
What do we know about the two base angles?
November 03, 2016
geom Section 4.5 Isosceles and Equilateral Triangles.notebook
November 03, 2016
Theorem 4­3 Isosceles Triangle Theorem
If two sides of a triangle are congruent, then the two angles opposite those sides are _____________.
geom Section 4.5 Isosceles and Equilateral Triangles.notebook
November 03, 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 ___________.
geom Section 4.5 Isosceles and Equilateral Triangles.notebook
Let's Practice...
Find the value of x in each triangle.
November 03, 2016
geom Section 4.5 Isosceles and Equilateral Triangles.notebook
November 03, 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 ___________
geom Section 4.5 Isosceles and Equilateral Triangles.notebook
November 03, 2016
Do these examples in your notes:
y
3x + 5
50
x
5x - 9
geom Section 4.5 Isosceles and Equilateral Triangles.notebook
Assignment
pg. 254
(6­13)
(30­32)
November 03, 2016