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.

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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.

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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.

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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

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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.

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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

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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.

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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

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

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

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

• Adjacent

• Supplementary

• Perpendicular

• Congruent

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