Angles and Parallel Lines Quick Check

1 of 51 of 5 Items
Question
Use the figure to answer the question.



An inclined transversal passes through two vertical parallel lines labeled upper M and upper N. The angles formed around the intersection point of upper M are labeled clockwise, starting from the upper left quadrant: 1, 2, 4, and 3. The corresponding angles formed around the intersection point of upper N are labeled clockwise, starting from the upper left quadrant: 5, 6, 8, and 7.
Using facts about the angles formed when parallel lines are cut by a transversal, what relationship can you establish between angle 5 and angle 1?(1 point)
Responses

alternate exterior angles
alternate exterior angles

vertical angles
vertical angles

corresponding angles
corresponding angles

alternate interior angles

alternate interior angles

Angles and Parallel Lines Quick Check

2 of 52 of 5 Items

Question
Use the figure to answer the question.

An inclined transversal passes through two vertical parallel lines labeled upper M and upper N. The angles formed around the intersection point of upper M are labeled clockwise, starting from the upper left quadrant: 1, 2, 4, and 3. The corresponding angles formed around the intersection point of upper N are labeled clockwise, starting from the upper left quadrant: 5, 6, 8, and 7.

What is the relationship between angle 6 and angle 7?(1 point)
Responses

alternate interior angles
alternate interior angles

corresponding angles
corresponding angles

alternate exterior angles
alternate exterior angles

vertical angles

corresponding angles

Angles and Parallel Lines Quick Check

3 of 53 of 5 Items

Question
Use the figure to answer the question.

An inclined transversal passes through two vertical parallel lines labeled upper M and upper N. The angles formed around the intersection point of upper M are labeled clockwise, starting from the upper left quadrant: 1, 2, 4, and 3. The corresponding angles formed around the intersection point of upper N are labeled clockwise, starting from the upper left quadrant: 5, 6, 8, and 7.

What is the relationship between angle 3 and angle 6?

(1 point)
Responses

corresponding angles
corresponding angles

vertical angles
vertical angles

alternate interior angles
alternate interior angles

alternate exterior angles

alternate interior angles

Angles and Parallel Lines Quick Check

4 of 54 of 5 Items

Question
Use the figure to answer the question.

An inclined transversal passes through two vertical parallel lines labeled upper M and upper N. The angles formed around the intersection point of upper M are labeled clockwise, starting from the upper left quadrant: 1, 2, 4, and 3. The corresponding angles formed around the intersection point of upper N are labeled clockwise, starting from the upper left quadrant: 5, 6, 8, and 7.

If angle 4 is 42° and lines M and N are parallel, give a reason why angle 5 is also 42° .

(1 point)
Responses

Angle 4 and angle 5 are interior angles, so their measures must be the same.
Angle 4 and angle 5 are interior angles, so their measures must be the same.

Angle 4 and angle 5 are corresponding angles, so their measures are congruent.
Angle 4 and angle 5 are corresponding angles, so their measures are congruent.

Angle 4 and angle 5 are vertical angles, so their measures are congruent.
Angle 4 and angle 5 are vertical angles, so their measures are congruent.

Angle 4 and angle 5 are alternate interior angles, so their measures must be the same.

Angle 4 and angle 5 are corresponding angles, so their measures are congruent.

Angles and Parallel Lines Quick Check

5 of 55 of 5 Items

Question
Use the figure to answer the question.

Two intersecting lines form an x and have four angles at the point of intersection labeled clockwise from the top: 1, 2, 3, and 4.

If angle 1 in the picture is 63° , what is the measure of angle 3? Why?

(1 point)
Responses

Angle 3 is 63° because angle 1 and angle 3 are vertical angles.
Angle 3 is 63 degrees because angle 1 and angle 3 are vertical angles.

Angle 3 is 117° because angle 1 and angle 3 form a line.
Angle 3 is 117 degrees because angle 1 and angle 3 form a line.

There is not enough information in the figure to establish this.
There is not enough information in the figure to establish this.

Angle 3 is 63° because angle 1 and angle 3 are corresponding angles.

Angle 3 is 63 degrees because angle 1 and angle 3 are corresponding angles.