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Geometry Notes

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Geometry Notes

Section 1-5

<3 KJMP.

- How to identify and use special pairs of angles
- Adjacent angles
- Vertical angles
- Linear pairs of angles
- Complementary angles
- Supplementary angles

- How to identify perpendicular lines

- Adjacent angles
- Vertical angles
- Linear pair of angles
- Complementary angles
- Supplementary angles
- Perpendicular lines

C

C

No Common Vertex

A

A

D

D

Shared Interior

- Examples: ABC and CBD

B

B

- Non examples:

CAT and CAS

ABC and BCD

S

C

D

T

C

B

A

A

- Adjacent Angles- 2 angles that
- lie in the same plane
- have a common vertex
- have a common side,
- But have no common interior points (the angles do not overlap).

5

- Examples:

8

6

1

2

4

7

3

- NonExamples:

C

B

A

D

E

- Vertical Angles- 2 nonadjacent angles formed by two intersecting lines.

B

T

C

C

E

R

D

Line

- Example: BED and BEC.

- NonExample

A

- A linear pair of angles
- adjacent angles
- non-common sides are opposite rays.

- Complementary: Any pair of angles whose measures add up to 90

- Supplementary: Any pair of angles whose measures add up to 180

- The measure of an angle’s supplement is 3 times the measure of the angle. Find the angle and its supplement.
- Two angles are complementary. One angle is 12 more than the other. Find the angle.
- Find mT if mT is 20 more than 4 times its supplement.

- DEFN: Perpendicular lines are lines that intersect to form right angles.

- Everything you wanted to know about perpendicular lines and more:
- symbol for perpendicular:
- diagram symbol:
- lines form not just one but, 4 right angles
- lines form (congruent)adjacent angles
- rays and segments can be too

- How to identify and use special pairs of angles
- Adjacent angles?
- Vertical angles ?
- Linear pairs of angles?
- Complementary angles?
- Supplementary angles?

- How to identify perpendicular lines?
- Assignment: Worksheet 1.5