Download 2.8 - Vertical Angles.notebook

2.8 ­ Vertical Angles.notebook
Bellringer:Solve 2x ­ 3 +4 = 8
September 25, 2015
2.8 ­ Vertical Angles
Straight Angle
Line
A
C
B
Lines are made up of rays that share a common endpoint and extend in opposite directions (Opposite rays).
Sep 25­11:10 AM
Def: If two angles are opposite (across from each other)
when two lines intersect, then they are vertical angles.
Sep 29­9:06 AM
Theorem: If two angles are vertical angles, then they are congruent.
Pairs of Vertical Angles
Pairs of Vertical Angles
1 2
4 3
1 2
4 3
5 6
8 7
Are there any vertical angles in the diagram below?
2
8
7
You can assume vertical angles from a diagram!!
Sep 29­9:06 AM
1
6
5
Sep 29­9:06 AM
Find the values of x and y.
3
5 4
NO!!! None of the angles are across from each other and formed by the same two lines.
Sep 29­9:06 AM
Sep 29­9:06 AM
1
2.8 ­ Vertical Angles.notebook
September 25, 2015
Homework
2.8 p.102 #1,3,7,12,13,15
Homework Check on Monday 9/28 – 2.5 p.86 #1,2,6,9,14,17 – 2.8 p.102 #1,3,7,12,13,15
Chapter 2 Test next Tuesday 9/29
Summary of things you are allowed to assume from diagram
1. Straight lines and angles
2. Vertical angles
Sep 29­9:06 AM
Sep 25­11:35 AM
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