Angle Pairs
Are the lines parallel?
Solve for x.
Congruent / Supplementary
Parallel, perpendicular or Skew
100

∠5 and ∠7?

Linear Pair

100

<4 and <6 are corresponding angles that are found after two lines are cut by a transversal. The measure of both these angles is 126 degrees. Are the lines parallel?

Yes. Corresponding Angles are congruent only when lines are parallel.

100

Find the value of x, which angle pair, and write the equation? 

x = 10, Alternate Exterior Angles, 60 = 4x + 20

100

Identify if the angles are congruent or supplementary, and write the equation to solve.

Supplementary, 5x + 35 + 45 = 180

100

Using the image posted on the board of a rectangular prism, determine the following:

Segment AB and Segment DC are_________________

parallel

200
∠5 and ∠4
Alternate Interior Angles
200

<7 and <8 are a same-side interior angles that are found after two lines are cut by a transversal. The angles are supplementary  Are the lines parallel?

Yes, same-side interior angles add to 180 only when lines are parallel.

200

Find the value of x, which angle pair, and write the equation? 

x = 5, Corresponding Angles, 10x + 4 = 54

200

Identify if the angles are congruent or supplementary, and write the equation to solve. 

Congruent, -1 + 14x = 12x + 17

200

Using the image posted on the board of a rectangular prism, determine the following:

Segment HG and segment CG are_________________

Perpendicular 


300
∠6 and ∠3
Alternate Interior Angles
300

<2 and <9 are alternate exterior angles that are found after two lines are cut by a transversal. The measure of <2 = 100 and the measure of <9 = 99. Are the lines parallel?

No, lines are only parallel when alternate exterior angles are congruent.

300

Find the value of y, which angle pair, and write the equation?

Y= 27, Alternate Exterior Angles, 3y + 53 = 7y - 55

300

Identify if the angles are congruent or supplementary, and write the equation to solve.

Supplementary, 3x - 10 + 5x + 30 = 180

300

Using the image posted on the board of a rectangular prism, determine the following:

Segment FG and segment AE are ______________

Skew

400
∠1 and ∠8
Alternate Exterior Angles
400

<3 and <5 are consecutive interior angles that are found after two lines are cut by a transversal. The measure of <3 is 60 degrees and the measure of <5 is 120 degrees. Are the lines parallel?

Yes, consecutive interior angles add up to 180 only when lines are parallel.

400

Find the value of x, which angle pair, and write the equation?

X= 35, Alternate Interior Angle, 3x + 16 = 5x -54

400

Identify if the angles are congruent or supplementary, and write the equation to solve. (If solving for x)

Congruent, 21x + 5 = 23x - 5

400

Using the image posted on the board of a rectangular prism, determine the following:

Plane DCG is parallel to plane ____________

various answers:

ABF

BFE

AEF

etc

500

∠3 and∠5

Same Side Interior Angles

500

<3 and <5 are consecutive interior angles that are found after two lines are cut by a transversal. The measure of <3 is 59 degrees and the measure of <5 is 131 degrees. Are the lines parallel?

No, lines are parallel only when consecutive interior angles add to 180. <3 and <5 add to 190.

500

Find the value of x, which angle pair, and write the equation?

X=35, Same Side Interior, 2x + 43 + 2x - 3 = 180

500

Identify if the angles are congruent or supplementary, and write the equation to solve. (If solving for x)

Supplementary, x + 109 + x + 89 = 180

500

Using the image posted on the board of a rectangular prism, determine the following:

Name a segment skew to segment EH 

* must use correct symbols*

Segment CG

Segment BF

Segment AB

Segment DC