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
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
Answers
Answered by
GPT-4o mini
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.**
- 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.**