Question
In the diagram, which pair of angles are vertical angles?
A transversal intersects 2 lines to form 8 angles. Clockwise from the top, the angles are 1, 2, 3, 4; 5, 6, 7, 8.
Angle 1 and Angle 2
Angle 4 and Angle 6
Angle 6 and Angle 8
Angle 5 and Angle 3
A transversal intersects 2 lines to form 8 angles. Clockwise from the top, the angles are 1, 2, 3, 4; 5, 6, 7, 8.
Angle 1 and Angle 2
Angle 4 and Angle 6
Angle 6 and Angle 8
Angle 5 and Angle 3
Answers
GPT-4o mini
Vertical angles are pairs of angles that are opposite each other when two lines intersect. In the scenario you described, with angles labeled clockwise from the top being angles 1, 2, 3, 4, 5, 6, 7, and 8, the pairs of vertical angles can be identified as follows:
- Angle 1 and Angle 3
- Angle 2 and Angle 4
- Angle 5 and Angle 7
- Angle 6 and Angle 8
Among the pairs you mentioned, none are vertical angles, since the angles listed do not correspond to these definitions:
- Angle 1 and Angle 2 are adjacent and do not form a vertical angle pair.
- Angle 4 and Angle 6 are also adjacent.
- Angle 6 and Angle 8 are vertical angles.
- Angle 5 and Angle 3 are also not vertical.
Thus, the correct answer from the choices you provided is **Angle 6 and Angle 8**.
- Angle 1 and Angle 3
- Angle 2 and Angle 4
- Angle 5 and Angle 7
- Angle 6 and Angle 8
Among the pairs you mentioned, none are vertical angles, since the angles listed do not correspond to these definitions:
- Angle 1 and Angle 2 are adjacent and do not form a vertical angle pair.
- Angle 4 and Angle 6 are also adjacent.
- Angle 6 and Angle 8 are vertical angles.
- Angle 5 and Angle 3 are also not vertical.
Thus, the correct answer from the choices you provided is **Angle 6 and Angle 8**.