Question

two lines going up and down, with a diaingle line, 1 and 4 look the same, and 2 and 3 look the same too. 5 and 8 look the same and 6 and 7 look the same as well.
Using facts about the angles formed when parallel lines are cut by a transversal, what relationship can you establish between angle 5 and angle 1? (1 point)
Responses

alternate interior angles
alternate interior angles

alternate exterior angles
alternate exterior angles

corresponding angles
corresponding angles

vertical angles

Answer 1

Given the description, it sounds like the two lines going up and down are parallel, and the diagonal line is a transversal that intersects them.

Here's how the angles typically correspond to the description:

```
1 | 2
-------
3 | 4
```
(the first parallel line, then the transversal line, then the second parallel line)
```
5 | 6
-------
7 | 8
```

Based on the properties of parallel lines cut by a transversal:

- Alternate interior angles are equal: these are inside the parallel lines and on opposite sides of the transversal (e.g., angles 3 and 5 or angles 4 and 6).
- Alternate exterior angles are equal: these are outside the parallel lines and on opposite sides of the transversal (e.g., angles 1 and 8 or angles 2 and 7).
- Corresponding angles are equal: these are in the same relative position at each intersection where the transversal intersects a parallel line (e.g., angles 1 and 5 or angles 2 and 6).
- Vertical angles are equal: these are opposite angles formed at the intersection of two lines (e.g., angles 1 and 3 or angles 2 and 4 or angles 5 and 7 or angles 6 and 8).

Given that 1 and 4 look the same, and 5 and 8 look the same, we can infer that angles 1 and 5 are likely corresponding angles since they are in the same relative position but at different intersections of the transversal with the parallel lines.

Therefore, the relationship between angle 5 and angle 1 is that they are corresponding angles.