Draw the picture and answer the questions Objectives: Students will analyze and identify angle pairs...

Draw the picture and answer the questions

Objectives: Students will analyze and identify angle pairs formed by three intersecting lines. Why? So you can classify lines in a real world situation.Mastery is 80% or better on 5-minute checks.

p

m n Like train tracks

Like layers of a cake

Like a highway overpass

Like a street crossing train tracks

Skill DevelopIdentifying Relationships in

Space Think of each

segment in the diagram. Which appear to fit the description?

a. Parallel to AB and contains D

b. Perpendicular to AB and contains D

c. Skew to AB and contains D

d. Name the plane(s) that contains D and appear to be parallel to plane ABE

A

B

D

C

F

E H

G

Guided-Pair Share

G

H

Let’s see how you did…G

H

Skill DevelopPostulate 13: Parallel

Postulate• If there is a line and a point not on

the line, then there is exactly one line through the point parallel to the given line.

P

l

This is a symbol for lines being

parallel

This is another symbol for lines

being parallel

Skill DevelopPostulate 14: Perpendicular

Postulate• If there is a line and a point not on

the line, then there is exactly one line through the given point perpendicular to the given line.

l

P

More VocabularyThe following definitions deal with different angle relationships formed by intersecting lines

corresponding

alternate interior

alternate exterior

consecutive interior

Also referred to as same side interior or SSI angles

All of these relationships refer to

position of the angles and have

nothing to do with their measure

GuidedIdentifying Angle relationships• List all pairs of

angles that fit the description.

a. Correspondingb. Alternate exteriorc. Consecutive

interiord. Alternate interior

3

7

2

61

5

4

81

5

2

64

83

7

There are 4 sets

There are 2 sets

There are 2 sets

There are 2 sets

18

2

7

64

53

Pair Share: List all angle relationships below.

Performance TaskThere are

4 sets

There are 2 sets

There are 2 sets

What was our objective today???

HomeWork

• Pages 150-151

• # 1-33 all