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
alternate interior angles
alternate interior angles
alternate exterior angles
alternate exterior angles
vertical angles
vertical angles
The relationship between angle 3 and angle 6 is that they are corresponding angles.
The relationship between angle 3 and angle 6 is that they are alternate interior angles.
To answer this question, we need to understand the relationships between angles formed by parallel lines and a transversal. In this figure, we have two vertical parallel lines labeled M and N. An inclined transversal passes through these lines, creating various angles.
To find the relationship between angle 3 and angle 6, we need to identify the key relationship formed by the transversal and the parallel lines. In this case, angle 3 and angle 6 are formed by the transversal intersecting line M.
The relationship that corresponds to this situation is called "corresponding angles." Corresponding angles are formed when a transversal intersects two parallel lines, and they are in the same position relative to the lines being intersected.
In this figure, angle 3 and angle 6 are in the same position relative to line M because they are on the same side of the transversal and are both "inside" the parallel lines. Therefore, the relationship between angle 3 and angle 6 is "corresponding angles."
So, the answer to the question is "corresponding angles."