Property and Converse of Corresponding Angles

What is the definition of corresponding angles?

• Pairs of angles that are on opposite sides of the transversal.

• Pairs of angles that are in the same relative position at the intersection of two lines and on the same side of the transversal.

• Pairs of angles that are formed by parallel lines and a transversal.

• Pairs of angles that are adjacent to each other.

Tags

CCSS.MATH.CONTENT.HSG.CO.C.9

State one property of corresponding angles.

• They are located in different positions on the two lines.

• They are located on opposite sides of the transversal.

• They are not related to each other.

• They are located in the same position on the two lines, on the same side of the transversal.

Tags

CCSS.MATH.CONTENT.HSG.CO.C.9

If two angles are corresponding, what can you conclude about their measures?

• Their measures are random.

• Their measures are opposite.

• Their measures are equal.

• Their measures are not equal.

Tags

CCSS.MATH.CONTENT.HSG.CO.C.9

True or False: If two angles are corresponding, their sum is always 180 degrees.

• Not enough information

• Sometimes

• False

• True

Tags

CCSS.MATH.CONTENT.HSG.CO.C.9

What is the converse of corresponding angles?

• If two lines are cut by a transversal and the corresponding angles are congruent, then the lines are parallel.

• If two lines are cut by a transversal and the alternate exterior angles are congruent, then the lines are parallel.

• If two lines are cut by a transversal and the alternate interior angles are congruent, then the lines are parallel.

• If two lines are cut by a transversal and the corresponding angles are not congruent, then the lines are parallel.

Tags

CCSS.MATH.CONTENT.HSG.CO.C.9

True or False: If two angles are not corresponding, they can still be equal.

• False

• Not sure

• Sometimes

• True

Tags

CCSS.MATH.CONTENT.HSG.CO.C.9

How can you prove that two angles are corresponding?

• By showing that the angles are on the same side of the transversal and in the same position relative to the transversal.

• By showing that the angles have the same measure.

• By showing that the angles are adjacent to each other.

• By showing that the angles are opposite each other.

Tags

CCSS.MATH.CONTENT.HSG.CO.C.9

Give an example of a real-world application where corresponding angles are used.

• Sports and athletics

• Cooking and baking

• Geometry and mathematics

• Architecture and construction

Tags

CCSS.8.G.A.5

If two angles are corresponding with parallel lines and one angle measures 60 degrees, what is the measure of the other angle?

• 60

• 120

• 90

• 30

Tags

CCSS.MATH.CONTENT.HSG.CO.C.9

State one property of corresponding angles in a parallel lines diagram.

• Adjacent

• Supplementary

• Perpendicular

• Congruent

Tags

CCSS.MATH.CONTENT.HSG.CO.C.9