Parallel Lines and Transversals...

Angle Relationships and Parallel Lines

Day 2 - Parallel Lines and Transversals

Learning Goal

❏

If I have two parallel lines cut by
a transversal, I can identify
alternate interior angles and use
that to find missing angle
measurements.

Vocabulary
Word Wall

supplementary angles: two angles that sum to 180o

30o + 150o= 180o→∠FGJ and ∠JGH are supplementary angles!

vertical angles: opposite, angles made by 2 intersecting lines

30o= 30o→∠JGF and ∠HGI are vertical angles! They are equal in size...

Multiple Choice

Supplementary angles add up to...

• $$90\degree$$  

• $$180\degree$$  

Multiple Choice

Vertical angles are...

• equal

• not equal

transversal

(or transversal line)

A transversal for a pair of
parallel lines is…
a line that meets each
of the parallel lines at
exactly one point

Line k is a transversal for
parallel lines l and m.

alternate

interior angles

two interior angles that
lie on opposite sides of
the transversal. They are

equal in measurement...​

In the figure, a and d are
alternate interior angles, and
b and c are, as well!

Can you find all of the
missing angle measures?

Point out examples of the
following angle types:

● alternate interior

angles

● vertical angles

● supplementary

angles

Multiple Choice

Name one pair of Alternate Interior Angles...

• e and f

• e and g

• e and d

• e and b

Multiple Choice

Name another pair of Alternate Interior Angles...

• $$60\degree$$  and g

• $$60\degree$$  and c

• $$60\degree$$  and f

• $$60\degree$$  and a

Multiple Select

Name a pair of vertical angles... SELECT ALL THAT APPLY...

• b and c

• b and d

• c and a

• e and g

• $$60\degree$$  and f

Multiple Select

Name a pair of supplementary angles...

SELECT ALL THAT APPLY...

• b and c

• b and d

• $$60\degree$$  and e

• e and f

• e and g

Multiple Choice

Identify each pair of angles.

• alternate exterior

• same-side interior

• corresponding

• alternate interior

Multiple Choice

Identify each pair of angles.

• vertical

• corresponding

• alternate exterior

• alternate interior

Multiple Choice

Name the alternate interior angle to $$\angle3$$  .

• $$\angle4$$  

• $$\angle5$$  

• $$\angle6$$  

• $$\angle8$$  

Multiple Choice

Find the value of x. 

• x = 133
• x = 47

Multiple Choice

Name the angle relationship.

• Alternate Interior
• Alternate Exterior
• Corresponding
• Vertical Angles

Multiple Choice

Which angle is a vertical angle to with $$\angle7$$  ?

• $$\angle1$$  

• $$\angle5$$  

• $$\angle3$$  

• $$\angle6$$  

• $$\angle9$$  

Multiple Choice

A line that passes through parallel lines is called a ______________.

• transitive
• passer through line
• transversal
• bisector

Multiple Choice

Find D

• ∠D=116°
• ∠D=64°
• ∠D=180°
• ∠D=26°