Proving Properties of Angles Created When Parallel Lines Are Cut by a Transversal

A transversal is a _______ that cuts two parallel lines.

• line

• circle

• triangle

• square

Tags

CCSS.4.G.A.1

CCSS.HSG.CO.A.1

Alternate interior angles are 2 interior angles on _______ sides of the transversal.

• opposite

• same

• adjacent

• parallel

Tags

CCSS.8.G.A.5

Same side interior angles are interior angles on the _______ side of the transversal.

• same

• opposite

• adjacent

• alternate

Tags

CCSS.8.G.A.5

Corresponding angles are two angles in the _______ position between 2 parallel lines.

• same

• opposite

• adjacent

• alternate

Tags

CCSS.8.G.A.5

Two lines are cut by a transversal such that the alternate interior angles are 75 degrees and 75 degrees. Are the lines parallel?

• Yes, the lines are parallel.

• No, the lines are not parallel.

Tags

CCSS.8.G.A.5

A line is perpendicular to one of two parallel lines. What can be concluded about its relationship to the other parallel line?

• It is also perpendicular to the other parallel line.

• It is parallel to the other parallel line.

• It is neither parallel nor perpendicular to the other parallel line.

• It forms an acute angle with the other parallel line.

Tags

CCSS.4.G.A.1

CCSS.HSG.CO.A.1

A transversal intersects two lines, creating one pair of alternate interior angles that measures 110 degrees and another pair that measures 70 degrees. Are the two lines parallel?

• Yes, because alternate interior angles are equal.

• No, because alternate interior angles are not equal.

• Yes, because the sum of angles is 180 degrees.

• No, because the sum of angles is not 180 degrees.

Tags

CCSS.8.G.A.5

Construct a scenario where you have two lines and a transversal. Label the angles created and state which angles are congruent and which are supplementary based on your construction.

• Alternate interior angles are congruent, and consecutive interior angles are supplementary.

• Corresponding angles are supplementary, and alternate exterior angles are congruent.

• Vertical angles are supplementary, and adjacent angles are congruent.

• All angles are congruent.

Tags

CCSS.8.G.A.5

No, the lines are not parallel because the alternate interior angles are not congruent.

• Yes, the lines are parallel.

• No, the lines are not parallel because the alternate interior angles are not congruent.

• Yes, the lines are parallel because the alternate interior angles are congruent.

• No, the lines are not parallel because the corresponding angles are congruent.

Tags

CCSS.8.G.A.5

Describe the relationship between corresponding angles and parallel lines. Why are they important in proving that two lines are parallel?

• Corresponding angles are equal when two lines are parallel.

• Corresponding angles are supplementary when two lines are parallel.

• Corresponding angles are complementary when two lines are parallel.

• Corresponding angles have no relation to parallel lines.

Tags

CCSS.8.G.A.5