Geometric Foundations, Construction and Proofs: Part One — Test

Question 22 • Geometry: Concepts and Connections

In which diagram do angles 1 and 2 form a linear pair?

Answer

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 vertical angles are named as 1 and 2, respectively.

Image with description Angles 1 and 2 have a common vertex and a common side. They both lie in a straight line.

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

A linear pair consists of two adjacent angles whose noncommon sides are opposite rays, forming a straight line. In diagram C, angles 1 and 2 share a vertex and a side, and together lie along a straight line, so they form a linear pair.

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