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Presentation Transcript

What you’ll learn. . .

- 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

Vocabulary

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

C

No Common Vertex

A

A

D

D

Shared Interior

Adjacent Angles- Examples: ABC and CBD

B

B

- Non examples:

CAT and CAS

ABC and BCD

S

C

D

T

C

B

A

A

Adjacent Angles

- 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).

Vertical Angle

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

A Linear Pair of Angles

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

Complementary Angles & Supplementary Angles

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

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

Example problems:

- 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.

Perpendicular Lines

- 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

Have you learned. . .

- 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

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