Explain how rays AB and AC form both a line and an angle
Subject : Mathematics
Question:
Explain how rays AB and AC form both a line and an angle.
Expert Verified Solution:
Answer: Rays AB and AC form both a line and an angle through their arrangement in space.
1. Line Formation: When two rays share a common endpoint and extend indefinitely in opposite directions, they form a straight line. If rays AB and AC are collinear (lying on the same straight line), they form a line. The common endpoint (A) is where the rays start, and the line extends infinitely in both directions through points B and C.
2. Angle Formation: Rays AB and AC also form an angle. The angle is the space between the two rays that share a common endpoint (A). The measure of this angle is determined by the separation between the two rays as they extend outward from the common point. The angle is named based on the vertex (A) and the direction of the rays, usually denoted as ∠BAC.
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