Download Section 4.6 Day 2 Isosceles, Equilateral, and Right Triangles

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Week 5
11.17.11
Warm Up
1) What is the measure of ∠ABC ?
A
86º
( 5x - 6 )º
( 2x + 4 )º
B
•C
Geometry
4.6 Day 2
Equilateral
I will use properties of isosceles triangles.
A triangle with three congruent sides.
Ex 1
Base
Angles
Equiangular
A triangle with three congruent angles.
A
Ex 2
C
B
Theorem
4.6
Corollary
Base Angles Theorem
If a triangle is equilateral, then it is equiangular.
A
C
Theorem
4.7
Corollary
B
Base Angles Theorem
If a triangle is equiangular, then it is equilateral.
Ex 3
Solve for x and y:
xº
60º
120º
yº
yº
3xº = 180º
x = 60
2yº + 120º = 180º
2y = 60
y = 30
Theorem
4.8
Base Angles Theorem
If a hypotenuse and a leg of a right triangle are
congruent to the hypotenuse and leg of a second
right triangle, then the two triangles are congruent.
A
B
D
C
E
F
Ex 4
Solve for x:
x+1
3x - 4
2x + 1
2x + 1 = 3x - 4
1 = x-4
5 = x
Do: 1
Solve for x and y:
60º
yº
Assignment:
xº
Textbook Page 240, 20 - 25 all and 33 and 34.
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