Download 5.4 - Triangle Theorems (Includes Exterior Angle)

Survey
yes no Was this document useful for you?
   Thank you for your participation!

* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project

Document related concepts
no text concepts found
Transcript 
5.4 ­ Triangle Theorems (Includes Exterior Angle)
Classifying Triangles
Vertex Angle
Definition: If a triangle is isosceles, then at least 2 sides are ≅.
November 30, 2016
Theorem : The sum of the three angles of a triangle is 1
80 .o
Leg
Leg
1
Base
Base Angles
2
3
Definition: If a triangle is equilateral, then all 3 sides are ≅.
Exterior Angle: An angle formed by extending any side of a triangle past the vertex.
Triangle Theorems
Theorem: The measure of an exterior angle of a triangle is equal to Theorem:
If two sides of a triangle are congruent, then the angles opposite them are congruent.
Theorem:
If two angles of a triangle are congruent, then the sides opposite them are congruent.
the sum of the measures of the remote interior angles.
Remote Interior Angles
Adjacent
Interior Angle
5
6
4
Triangle Theorems
E
1.)
1
F
Given:
Prove:
2
L
2.)
P
Given:
Prove:
A
3.)
J
I
N
Y
T
R
Given:
Prove:
Given:
Prove:
S
G
L
E
1
Related documents