september 08, 2015 · september 08, 2015 13. arnie has 30 , 60, 150 , 45, and a 135 angle in his...
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September 08, 2015
September 08, 2015
Study Guide (1.1-1.4)
* Identify points, lines, planes, and intersections in a diagram. (know vocab)
* Draw a diagram given specific information.
* Name an given angle in all ways.
* Know and apply the Segment Addition Postulate to find missing segment lengths.
* Know and apply principles of the midpoint of a segment. (Be prepared for a quadratic)
* Know and apply the distance formula.
* Determine measures of angles (DMS system).
* Determine the angle formed by the hands of a clock.
* Know and apply principles of an angle bisector.
September 08, 2015
(1.5) Angle Relationships
Objective: Identify and use special pairs of angles.
Identify perpendicular lines.
Why: To be able to use these relationships in other geometric figures.
September 08, 2015
Adjacent angles:Objective: Identify and use special pairs of angles.
Identify perpendicular lines.
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linear pair:
2 adjacent angles that form a line
Objective: Identify and use special pairs of angles.
Identify perpendicular lines.
1 2
September 08, 2015
vertical angles:
1
2
angles that are opposite each other
the sides form 2 pairs of opposite rays
Objective: Identify and use special pairs of angles.
Identify perpendicular lines.
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complementary: 2 angles that total 900
supplementary: 2 angles that total 180o
Objective: Identify and use special pairs of angles.
Identify perpendicular lines.
September 08, 2015
Perpendicular Lines:
Lines that intersect to form right angles.l
m
l m
Objective: Identify and use special pairs of angles.
Identify perpendicular lines.
September 08, 2015
Find x and y so that KO and HM are .
LM
O
H
J
I
K
3x + 63y + 6
9x
Objective: Identify and use special pairs of angles.
Identify perpendicular lines.
September 08, 2015
Ex.
1.
a. Are angles 1 and 2 a linear pair?b. Are angles 4 and 5 a linear pair?c. Are angles 5 and 3 vertical?d. Are angles 1 and 3 vertical?
Objective: Identify and use special pairs of angles.
Identify perpendicular lines.
September 08, 2015
Find m 1.
x2+6x 12
x+42
Objective: Identify and use special pairs of angles.
Identify perpendicular lines.
September 08, 2015
2x-4
5x+30
Find x. Objective: Identify and use special pairs of angles.
Identify perpendicular lines.
September 08, 2015
2.
4x+155x+30
3y-153y+15
Find x and y.Objective: Identify and use special pairs of angles.
Identify perpendicular lines.
September 08, 2015
By how much does x exceed y?
x-2yx+2y 50
Objective: Identify and use special pairs of angles.
Identify perpendicular lines.
September 08, 2015
G is supplementary to H. m G = 82043'26". Find m H
Objective: Identify and use special pairs of angles.
Identify perpendicular lines.
September 08, 2015
T and S are supplementary. The measure of T is half the measure of S. Find m S.
Objective: Identify and use special pairs of angles.
Identify perpendicular lines.
September 08, 2015
D and E are complements. D and F are supplements. If m E is 4 times m D, find the measure of the three angles.
Objective: Identify and use special pairs of angles.
Identify perpendicular lines.
September 08, 2015
7. One of 2 supplementary angles is 70 greater than the other. Find the larger.
Objective: Identify and use special pairs of angles.
Identify perpendicular lines.
September 08, 2015
8. If supplementary angles are congruent, then _____________
9. If complementary angles are congruent, then ______________
10. One of two complementary angles exceeds 7 times the smaller by 4. Find the larger angle.
Objective: Identify and use special pairs of angles.
Identify perpendicular lines.
September 08, 2015
11. One of 2 complementary angles added to half the other yields 72 . Find half the measure of the larger.
Objective: Identify and use special pairs of angles.
Identify perpendicular lines.
September 08, 2015
12. The supplement of an angle is four times the complement. Find the complement.
Objective: Identify and use special pairs of angles.
Identify perpendicular lines.
September 08, 2015
13. Arnie has 30 , 60, 150 , 45, and a 135 angle in his pocket. He takes out two angles. Find the probability that:
a. 2 angles are supplementary
b. 2 angles are complementary
Objective: Identify and use special pairs of angles.
Identify perpendicular lines.
September 08, 2015
HW
HR: (1.5) Pg.51: 9-17odd, 18, 21-41odd, 49, 51ab
Objective: Identify and use special pairs of angles.
Identify perpendicular lines.