Special Angle Pairs Lesson Review

Special Angle Pairs

By Deb Curatola

​Do the 2 angles share a vertex?

If the 2 angles share a vertex, they are either vertical angles (across from each other) or they are a linear pair (together, they make a straight line). Vertical angles are congruent. Linear pairs are supplementary.

Categorize

Options (4)

$$\angle1\ and\ \angle4$$  

$$\angle6\ and\ \angle7$$  

$$\angle1\ and\ \angle2$$  

$$\angle5\ and\ \angle7$$  

What type of angle pair is each of the following?

Vertical Angles

Linear Pair

​What if the angles don't share a vertex?

If the 2 angles are in the same CORner, they are CORresponding angles.
As long as the lines are parallel, corresponding angles are congruent.

​If the 2 angles don't share a vertex
and aren't corresponding . . .

Are they on the SAME SIDE of the transversal or are they on ALTERNATE SIDES?

​If both angles are on the same side
of the transversal, they're either
Same-Side Interior or Same-Side Exterior angles.

​Either way, as long as the lines are parallel, the angles are supplementary.

​​If both angles are on opposite sides
of the transversal, they're either
Alternate Interior or Alternate Exterior angles.

​Either way, as long as the lines are parallel, the angles are congruent.

Multiple Select

Given lines m and n are parallel,

which angle pairs are congruent?

(select all correct answers)

• ∠2 and ∠4

• ∠1 and ∠5

• ∠2 and ∠7

• ∠3 and ∠6

Multiple Select

Given lines m and n are parallel,

which angle pairs are supplementary?

(select all correct answers)

• ∠1 and ∠2

• ∠3 and ∠5

• ∠1 and ∠4

• ∠2 and ∠8

• ∠2 and ∠6

Categorize

Options (10)

$$\angle1\ and\ \angle8$$  

$$\angle3\ and\ \angle7$$  

$$\angle2\ and\ \angle6$$  

$$\angle2\ and\ \angle7$$  

$$\angle3\ and\ \angle6$$  

$$\angle4\ and\ \angle5$$  

$$\angle1\ and\ \angle5$$  

$$\angle4\ and\ \angle8$$  

$$\angle3\ and\ \angle5$$  

$$\angle4\ and\ \angle6$$  

What type is each angle pair?

Corresponding

Same-Side Interior

Alternate Exterior

Alternate Interior

You can write and solve equations based on the type of special angle pair.

• If the angles are congruent,

  set them equal to each other.

• If they're supplementary,

  they add up to 180.

Poll

How do you feel about identifying angle pairs

and using their relationships to set up and solve equations?