5-MINUTE CHECK…………….APK

Corr. ’s Alt. Int. ’s Alt. Ext. ’s

3.2 PARALLEL LINES & TRANSVERSALS Students will analyze & identify angle

pair relationships formed by a transversal intersecting 2 or more parallel lines.

Why? So you can analyze & solve real world problems involving angles as seen in the performance task.

Mastery is 80% or better on 5-minute check and indy work.

abbreviate

corr. ’s

abbreviate

vert. ’s

abbreviate

corr. ’s

125

125

125

What could be another

reason?Vert. ’s

Skill Develop

What could be another reason?

Vert. ’s

OBJECTIVES????

Students will analyze & identify angle pair relationships formed by a transversal intersecting 2 or more parallel lines.

Why? So you can analyze & solve real world problems involving angles as seen in the performance task.

Mastery is 80% or better on 5-minute chack and indy work.

THINK…INK…SHARE

Briefly, discuss with a partner then explain in your own words.

What Alt exterior, Alt Interior, Corresponding and Consecutive are. Why is it important to identify these relationships and how is this information useful. Be prepared to share out.

alt. ext. ’s 113

39117

Solve for x

Skill Development….

SOMETIMES IT IS A BIT HARDER…

(x + 5)

Use the corr. ’s post.

Now Use the fact that these angles now form a linear pair and are supplementary and add up to 180.3x - 7 + x + 5 =

180 4x - 2 = 1804x = 182x = 45.5

Write an equation:Solve for

x

THINK….INK…SHARE

60

(2x + 10)

Solve for x. 2x + 10 = 60 alt. ext. ’s

2x = 50

x = 25

FIND M1 & M2 AND STATE THE THEOREM OR POSTULATE THAT JUSTIFIES YOUR ANSWER

m1m2

Why?Alt. Int. ’s

SSI ’s are supp.

60120

Pair Share---White Boards

WHITE BOARDS---CFU…..ON YOUR OWN

Why?Alt. Int. ’s X =

Y =

75

75 Corr. ’s What could be another reason that

x = y?Vert. ’s

Solve for X and Y and be able to explain your reasoning.

Before you begin, determine the

angle pair relationship

alt. int. ’s

x + 15 = 80

x = 65

PAIR SHARE…..SOLVE FOR X & EXPLAIN

OBJECTIVES????

Students will analyze & identify angle pair relationships formed by a transversal intersecting 2 or more parallel lines.

Why? So you can analyze & solve real world problems involving angles as seen in the performance task.

Mastery is 80% or better on 5-minute chack and indy work.

HW

Page(s) 157-159

# 1-20 all

105x – 2 + 105 = 180Linear pair ’s

add to 180

x + 103 = 180x = 77

ON YOUR OWN

Use the figure to answer the following questions:

Name four pairs of vertical angles. Name all angles that form a linear pair with 7. Name all angles that are congruent to 1. Name all angles that are congruent to 4. Name all angles that are supplementary to 3. Name all angles that are supplementary to 2.

You may have to combine some properties to solve.

Work one variable at a time.

Avoid solving for one variable in terms of the other when you

can3x

9x +12 +3x = 180Linear pair ’s

add to 180

12x+ 12 = 180

x = 1412x = 168

3(14) + 4y - 10 = 180

42 + 4y - 10 = 1804y + 32= 180

Linear pair ’s add to 180

4y = 148

y = 37

THINK…..INK…..SHARE

With a Partner

5y-4+3y=1808y-4+1848y+184y=23

69= 2x+1356=2xX=28

PERFORMANCE TASK

WHAT WAS TODAYS OBJECTIVE(S)???? Students will analyze & identify angle

pair relationships formed by a transversal intersecting 2 or more parallel lines.

Why? So you can analyze & solve real world problems involving angles as seen in the performance task.

Mastery is 80% or better on 5-minute chack and indy work.

HOME WORK

Apply Special Angle Relationships to solve diagrams.

Page(s) 158-159

# 21-36 all