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lesson 1.4 Geometry.notebook
September 16, 2015
Warm Up
1.
Simplify each expression.
2. 90 – (x + 20)
3. 180 – (3x – 10)
Write an algebraic expression for each of the following.
4. 4 more than twice a number
5. 6 less than half a number
lesson 1.4 Geometry.notebook
September 16, 2015
lesson 1.4 Geometry.notebook
September 16, 2015
lesson 1.4 Geometry.notebook
September 16, 2015
lesson 1.4 Geometry.notebook
September 16, 2015
lesson 1.4 Geometry.notebook
September 16, 2015
lesson 1.4 Geometry.notebook
September 16, 2015
lesson 1.4 Geometry.notebook
September 16, 2015
lesson 1.4 Geometry.notebook
September 16, 2015
lesson 1.4 Geometry.notebook
September 16, 2015
Name and label each of the following:
1. a Ray
2. a line
4. a plane
3. a line segment
B
A
D
C
E
T
5. an acute angle
6. a straight angle
G
H
7. an obtuse angle
8. a right angle
1
F
J
I
lesson 1.4 Geometry.notebook
September 16, 2015
GOAL~ Pairs of Angles!
Identify 1. adjacent angles
2. vertical angles
3. complementary angles
4. supplementary angles.
5. Linear Pairs
Find measures of pairs of angles.
lesson 1.4 Geometry.notebook
September 16, 2015
Vocabulary
Pairs of Angles
Supplementary Angles
Adjacent Angles
Vertical Angles
Linear Pair
Complementary Angles
lesson 1.4 Geometry.notebook
September 16, 2015
lesson 1.4 Geometry.notebook
September 16, 2015
lesson 1.4 Geometry.notebook
September 16, 2015
Always True, Sometimes True, or Never True ?
1. All linear pairs are adjacent angles
2. Adjacent angles are linear pairs
3. Non­adjacent angles can be a linear pair
lesson 1.4 Geometry.notebook
1) Name all of the Adjacent Angles.
2) Name all of the Linear Pairs.
September 16, 2015
lesson 1.4 Geometry.notebook
September 16, 2015
Tell whether the angles are only adjacent, adjacent and form a linear pair, or not adjacent.
1)
∠AEB and ∠BED
2)
∠AEB and ∠BEC
3)
∠DEC and ∠AEB
lesson 1.4 Geometry.notebook
September 16, 2015
Vertical angles are two nonadjacent angles formed by two intersecting lines. ∠1 and ∠3 are vertical angles, as are ∠2 and ∠4.
lesson 1.4 Geometry.notebook
September 16, 2015
Name the pairs of vertical angles.
lesson 1.4 Geometry.notebook
September 16, 2015
lesson 1.4 Geometry.notebook
September 16, 2015
lesson 1.4 Geometry.notebook
September 16, 2015
A way to remember....
Complementary angles Compliment their rightness!
Supplementary angles are Straight!
lesson 1.4 Geometry.notebook
September 16, 2015
Using Algebra to find the Measures of
Complements and Supplements
You can find the complement of an angle that measures x° by subtracting its measure from 90°, or (90 – x)°. A. Find the complement of ∠F
B. Find the complement of ∠E
lesson 1.4 Geometry.notebook
September 16, 2015
Using Algebra to find the Measures of
Complements and Supplements
You can find the supplement of an angle that measures x° by subtracting its measure from 180°, or (180 – x)°.
A. Find the supplement of ∠F
B. Find the supplement of ∠G
lesson 1.4 Geometry.notebook
September 16, 2015
An angle is 10° more than 3 times the measure of its complement. Find the measure of the complement.
lesson 1.4 Geometry.notebook
September 16, 2015
Your Turn
An angle is 4 times the measure of its supplement. Find the angle and its supplement.
lesson 1.4 Geometry.notebook
September 16, 2015
lesson 1.4 Geometry.notebook
September 16, 2015
lesson 1.4 Geometry.notebook
September 16, 2015
Homework: Due Next Class
1.4 pg 32 #3, 6, 9, 10, 13, 16, 17, 22, 26, 29
Big Quiz Thurs/Friday 1.1­1.5 Quiz Review:
a. Angle Bisectors: pg 25 #17­18
b. Segment Bisectors: pg 17 #18
c. Angle Addition Postulate: pg 25 #15, 16
d. Segment Addition Postulate: pg 18 #31­33
e. Comp. and Suppl. Angles: pg 32 #26­31
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