Question

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

vertical angles
vertical angles

alternate interior angles
alternate interior angles

corresponding angles
corresponding angles

alternate exterior angles

Answer 1

To determine the relationship between angle 3 and angle 6 when comparing their positions concerning the two vertical parallel lines (M and N) and the inclined transversal, we can analyze their locations:

• Angle 3 is located at the intersection of the transversal and line M.
• Angle 6 is located at the intersection of the transversal and line N.

Since angle 3 and angle 6 are both formed by the transversal but lie on opposite sides of the transversal, specifically one on each of the parallel lines and in opposite positions relative to the transversal, angle 3 and angle 6 are corresponding angles.

Thus, the relationship between angle 3 and angle 6 is:

corresponding angles.