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Transcript
Geometry Section: 2.3 Complementary and Supplementary Angles
Algebra Problem of the Day: Solve.
1 (x ­ 4) = (2x ­ 1)
3
Sep 9­9:50 PM
Today's Essential Question: How are angles related?
Opener: Identify Complementary and Supplementary Angles
Sep 9­9:54 PM
1
Complementary
Angles
40
50
2 angles whose SUM is 90
__ + __ = 90
Sep 9­9:55 PM
Supplementary Angles
80
100
2 angles whose SUM is 180
60 120
__ + __ = 180
Sep 9­9:58 PM
2
Number your paper 1­5 (under opener) and complete the checkpoint exercises on p. 67 and 68 of your text.
Sep 9­10:02 PM
Concept 1: Adjacent Angles
Adjacent Angles
1 2
2 angles are adjacent if they share a common vertex and side.
<1 and <2 are adjacent angles.
Sep 9­10:05 PM
3
Sep 9­10:07 PM
Concept 2: Theorems
Theorems
True statements that follow from other true statements.
Sep 9­10:08 PM
4
Congruent Complements Theorem
Sep 9­10:09 PM
Congruent Supplements Theorem
Sep 9­10:11 PM
5
Ex. 1: Checkpoint exercise 6 on p. 69
Sep 9­10:13 PM
Closure: Let's practice some MAP­like questions!
1.
2.
Sep 9­10:14 PM
6
3. When two angles are added and their sum is equal to 180 degrees, the angles are said to be supplementary angles. Given: One of two supplementary angles is 4o more than one­third the measure of the other angle. 1. Write an equation that represents the given information.
2. Find the measure of each of the angles, showing all work.
Sep 9­10:16 PM
Learning Opportunity
p. 70­73 #1­31 odd, 35­37, 41­53 odd
Sep 9­10:18 PM
7