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identify the postulate illustrated by the statement: line ab and line c…

Question

identify the postulate illustrated by the statement: line ab and line cd intersect at point p. postulate 1.2b: through any three noncollinear points there is exactly one plane. postulate 1.2e: if two planes intersect, they intersect in exactly one line. postulate 1.2c: if two points lie on a plane, then the line that contains those two points also lies on the plane. postulate 1.2d: if two lines intersect, they intersect at exactly one point. 20. choose the best answer. which choice names a ray? a b c ab a ↔ ac → bc

Explanation:

Brief Explanations
  1. For the first question, the statement "Line AB and line CD intersect at point P" directly matches Postulate 1.2D which states that if two lines intersect, they intersect at exactly one point.
  2. For the second question, a ray is a part of a line that has one - endpoint and extends infinitely in one direction. $\overrightarrow{BC}$ is a ray as it starts at point B and extends infinitely in the direction of C.

Answer:

  1. Postulate 1.2D: If two lines intersect, they intersect at exactly one point.
  2. $\overrightarrow{BC}$