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

alternate exterior angles
alternate exterior angles

vertical angles
vertical angles

corresponding angles

3 answers

The relationship between angle 6 and angle 7 is alternate interior 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

alternate exterior angles
alternate exterior angles

alternate interior angles
alternate interior angles

vertical angles
vertical angles

corresponding angles
To determine the relationship between angle 3 and angle 6, we need to analyze the given figure.

Angle 3 is formed when line M intersects the transversal, and angle 6 is formed when line N intersects the transversal.

From the information given, we can observe that angle 3 and angle 6 are located on opposite sides of the transversal but on the same side of the two parallel lines.

The correct answer for the relationship between angle 3 and angle 6 is "alternate interior angles." Alternate interior angles are a pair of non-adjacent angles formed when a transversal intersects two parallel lines. In this case, angle 3 and angle 6 are alternate interior angles because they are formed on opposite sides of the transversal and are located between the two parallel lines.

Therefore, the correct answer is "alternate interior angles."
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