Vertical angles are formed when two lines intersect, creating pairs of opposite angles that are equal to each other. To determine whether angles 1 and 2 are vertical angles, we need to visualize or identify their positions relative to the intersecting lines.
Imagine two lines crossing each other, forming four angles at the intersection. Typically, these angles are labeled as follows: when lines A and B intersect, the resulting angles might be labeled as angle 1, angle 2, angle 3, and angle 4. In this setup:
- Angle 1 and angle 2 are considered vertical angles if they are located opposite each other.
- Similarly, angle 3 and angle 4 would also be vertical angles, as they share the same characteristic of being opposite one another.
To answer your question specifically, if angles 1 and 2 are positioned directly opposite each other at the intersection point of the two lines, then they are indeed vertical angles. Therefore, to correctly identify them, look at the diagram and ensure that the angles in question are not adjacent to each other and lie across from each other at the intersection.
This property of vertical angles emphasizes that not only are they equal in measure, but they also have a special geometrical relationship. So, if your diagram shows angles 1 and 2 opposing each other at the point of intersection, you can confidently assert that they are vertical angles.