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.

Fill in the Blanks

Your turn!

Set up an equation and solve for a.

Type the number in the blank.

Fill in the Blanks

Set up an equation and solve for n.

Type the number in the blank.

Poll

How do you feel about identifying angle pairs

and using their relationships to set up and solve equations?