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This pdf includes the following topics:-

Properties of parallel lines and transversals

Using properties of parallel lines in proofs

Properties of parallel lines and transversals

Using properties of parallel lines in proofs

1.
Opportunity is Today:

missed by most •Homework

people because it is Check

dressed in overalls •3.2 Check Up

and looks like work. •Practice

Thomas Edison

missed by most •Homework

people because it is Check

dressed in overalls •3.2 Check Up

and looks like work. •Practice

Thomas Edison

2.
Opportunity is Assignment:

• 3.1-3.2 p. 197 #1-

missed by most 14

people because it is

dressed in overalls

and looks like work.

Thomas Edison

• 3.1-3.2 p. 197 #1-

missed by most 14

people because it is

dressed in overalls

and looks like work.

Thomas Edison

3.
3.1 Check Up

Identify the vocabulary term for each pair

of angles represented in the picture.

1. 3 and 6

2. 1 and 8

3. 2 and 6

4. 1 and 6

5. 3 and 5

Identify the vocabulary term for each pair

of angles represented in the picture.

1. 3 and 6

2. 1 and 8

3. 2 and 6

4. 1 and 6

5. 3 and 5

4.
You named angle pairs formed by parallel lines

and transversals.

• Use theorems to determine the relationships

between specific pairs of angles.

• Use algebra to find angle measurements.

and transversals.

• Use theorems to determine the relationships

between specific pairs of angles.

• Use algebra to find angle measurements.

5.
Content Standards

G.CO.1 Know precise definitions of angle, circle,

perpendicular line, parallel line, and line segment,

based on the undefined notions of point, line, distance

along a line, and distance around a circular arc.

G.CO.9 Prove theorems about lines and angles.

Mathematical Practices

1 Make sense of problems and persevere in solving

3 Construct viable arguments and critique the

reasoning of others.

G.CO.1 Know precise definitions of angle, circle,

perpendicular line, parallel line, and line segment,

based on the undefined notions of point, line, distance

along a line, and distance around a circular arc.

G.CO.9 Prove theorems about lines and angles.

Mathematical Practices

1 Make sense of problems and persevere in solving

3 Construct viable arguments and critique the

reasoning of others.

6.
3.2 Angles and Parallel Lines

1.Properties of parallel lines

and transversals

2.Using properties of parallel

lines in proofs

parallel, transversal,

corresponding, alternate

interior, alternate exterior,

consecutive interior

1.Properties of parallel lines

and transversals

2.Using properties of parallel

lines in proofs

parallel, transversal,

corresponding, alternate

interior, alternate exterior,

consecutive interior

7.
3.2 Angles and Parallel Lines

If 2 parallel lines are cut by a

transversal,angles

corresponding then: are congruent.

alternate interior angles are congruent.

alternate exterior angles are congruent.

alternate exterior

consecutive interior angles are

supplementary.

consecutive interior

angles 12

4 3

5 6

8 7

If 2 parallel lines are cut by a

transversal,angles

corresponding then: are congruent.

alternate interior angles are congruent.

alternate exterior angles are congruent.

alternate exterior

consecutive interior angles are

supplementary.

consecutive interior

angles 12

4 3

5 6

8 7

8.
3.3 Parallel Lines and

Transversals

If l1|| l2, find x. l1

2x + 4

What type of l2

angles do

you have? 110

x = 53

Transversals

If l1|| l2, find x. l1

2x + 4

What type of l2

angles do

you have? 110

x = 53

9.
If l1|| l2, find x and y.

l1

y + 20

x = 105

x l2

y = 85 75

l1

y + 20

x = 105

x l2

y = 85 75

10.
3.3 Parallel Lines and Transversals

How many angles in the diagram

have a measure of 100o?

100o

How many angles in the diagram

have a measure of 100o?

100o

11.
Given: l1|| l2 2

3

l3 || l4

Prove: 1 2 1

Statements Reasons

1. Given ALWAYS

4. Transitive Property of

Congruency.

3

l3 || l4

Prove: 1 2 1

Statements Reasons

1. Given ALWAYS

4. Transitive Property of

Congruency.

12.
Opportunity is Assignment:

missed by most • 3.2 p. 183 #5, 8, 25, 49

people because it is

dressed in overalls

and looks like work.

Thomas Edison

missed by most • 3.2 p. 183 #5, 8, 25, 49

people because it is

dressed in overalls

and looks like work.

Thomas Edison