Angle Relationships/Parallel & Perpendicular Lines

Angle Relationships

100

Name a pair of vertical angles

1. angle INM and angle JNL 2. angle MNL and angle JNI

200

Name a pair of adjacent angles

1. angle INM & angle MNL 2. angle MNL & angle LNK 3. angle MNL & angle LNJ 4. angle LNK & angle KNJ 5. angle LNK & angle KNI 6. angle KNJ & angle JNI 7. angle JNI & angle INM

300

Name a pair of supplementary angles

1. angle INM & angle MNL 2. angle MNL & angle LNJ 3. angle LNJ & angle JNI 4. angle JNI & angle INM

400

Name a pair of complementary angles

angle KNL & angle JNI

500

What is true about the angle measures in a pair of vertical angles.

They are the same, equal, congruent

Finding Angle Measures

100

what is the measure of angle EFC Justify your answer

142 degrees, vertical to angle AFB

200

what is the measure of and CFB Justify your answer

38 degrees, it is supplementary to angle AFB

300

what is the measure of andle CFD Justify your answer

90 degrees, it is supplementary to angle DFA

400

what is the measure of angle EFA Justify your answer

38 degrees, it is vertical to angle CFB which is supplementary to angle AFB (142 degrees)

500

what is the measure of angle DFE Justify your answer

52 degrees, it is complementary to angle EFA which is vertical to angle BFC which is supplementary to angle AFB

Parallel & Perpendicular Lines

100

Name a pair of corresponding angles

1. angle 1 and angle 5 2. angle 3 and angle 8 3. angle 2 and angle 6 4. angle 4 and angle 7

200

Name a pair of Same-Side Interior Angles

1. angle 4 and angle 6 2. angle 3 and angle 5

300

Name a pair of Alternate Interior Angles

1. angle 3 and angle 6 2. angle 4 and angle 5

400

Name a pair of Alternate Exterior Angles

1. angle 2 and angle 8 2. angle 1 and angle 7

500

What is the relationship between angle 3 and angle 6

They are alternate interior angles

Finding Unknown Angle Measures

100

What is the measure of angle 6 *Justify your answer using either corresponding angles, alternate interior angles, alternate exterior angles, or same-side interior angles

110 degrees, corresponding angle with angle 4, corresponding angles are congruent

200

What is the measure of angle 3 *Justify your answer using either corresponding angles, alternate interior angles, alternate exterior angles, or same-side interior angles

70 degrees, alternate interior angle with angle 5, alternate interior angles are congruent

300

What is the measure of angle 2 *Justify your answer using either corresponding angles, alternate interior angles, alternate exterior angles, or same-side interior angles

110 degrees, same-side interior angle with angle 7, same side-interior angles are supplementary

400

What is the measure of angle 8 *Justify your answer using either corresponding angles, alternate interior angles, alternate exterior angles, or same-side interior angles

110 degrees, alternate exterior angle with angle 4, alternate exterior angles are congruent

500

What is the measure of angle 7 *Justify your answer using either corresponding angles, alternate interior angles, alternate exterior angles, or same-side interior angles

70 degrees, angle 1 is 70 degrees because it is a corresponding angle with angle 5 and corresponding angles are congruent. Angle 7 is an alternate exterior angle with angle 1 and alternate exterior angles are congruent.

Definitons

100

1. A pair of opposite congruent angles formed by intersecting lines. 2. Angles in the same plane that have a common vertex and a common side

1. Vertical Angles 2. Adjacent Angles

200

1. Two angles whose measures have a sum of 180 degrees 2. Two angles whose measures sum to 90 degress

1. Supplementary Angles 2. Complementary Angles

300

For two lines intersected by a transversal. A pair of angles that line on the same side of the transversal and on the same sides of the other two lines Drawing a picture may help you!

Corresponding Angles

400

For two lines intersected by a transversal. A pair of angles that line on the same side of the transversal, between the parallel lines. Drawing a picture may help you!

Same-Side Interior Angles

500

For two lines intersected by a transversal. A pair or nonadjacent angles that lie on opposite sides of the transversal and between the other two lines. Drawing a picture may help you!

Alternate Interior Angles