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
The relationship between angle 6 and angle 7 is alternate interior angles.
To determine the relationship between angle 6 and angle 7, we need to analyze the given figure.
First, we need to understand the concept of parallel lines and transversals. In this case, the two vertical lines labeled M and N are parallel lines, and the inclined line passing through them is the transversal.
Now, let's identify the angles mentioned in the question for both line M and line N:
- For line M, the angles formed around the intersection point (where M and the transversal intersect) are labeled 1, 2, 4, and 3.
- For line N, the angles formed around the intersection point (where N and the transversal intersect) are labeled 5, 6, 8, and 7.
To determine the relationship between angle 6 and angle 7, we need to consider their positions and compare them. Angle 6 and angle 7 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 6 and angle 7 is "vertical angles." Vertical angles are a pair of non-adjacent angles formed by the intersection of two lines. In this case, angle 6 and angle 7 are vertical angles because they are formed on opposite sides of the transversal and share the same vertex (the point where the two lines intersect).
Therefore, the correct answer is "vertical 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
The correct answer is "alternate interior 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."