ACS ASC✔ CAS CAB
Explain how rays AB and AC form both a line and an angle.
Rays AB and AC share a common vertex at point A, which forms an angle (specifically a straight angle). Because these rays point in opposite directions and are collinear, they also form a line that extends infinitely in both directions.
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The definition of parallel lines requires the undefined terms line and plane, while the definition of perpendicular lines requires the undefined terms of line and point. What characteristics of these geometric figures create the different requirements?
Parallel lines never intersect, but they must be in the same plane. The definition does not require the undefined term point, but it does require plane. Because they intersect, perpendicular lines must be coplanar; consequently, plane is not required in the definition.
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