Linear Pairs and Vertical Angles — Quiz

Question 10 • Geometry: Concepts and Connections

In which diagram are angles 1 and 2 vertical angles?

Answer

Image with description Two lines intersect at a point. The vertical angles are named as 1 and 2, respectively.

Image with description 2 rays emerge from the center of the horizontal line. Angles are labeled from left to right as 1, 2, and 3.

Image with description Two lines intersect at a point. The horizontal angles are named as 1 and 2, respectively.

Image with description 3 rays emerge from a common vertex point to form two angles. Angles are labeled as 1, and 2. Both angles add up together to form a right angle.

Explanation

Vertical angles are the opposite, non-adjacent angles formed when two lines intersect. In diagram A, angles 1 and 2 are described as vertical angles, so they are opposite each other at the intersection. In diagram D, the angles are horizontal and adjacent, not vertical.

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