Question

unit 1 quiz 1
geometry a / unit 1 - the basics of geometry

1. choose the best answer.

identify the postulate illustrated by the statement. line \overleftrightarrow{st} connects point s and point t.
postulate 1.2d: if two lines intersect, they intersect at exactly one point.
postulate 1.2a: through any two points there is exactly one line.
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.

1. choose the best answer.

an endpoint is at both ends of a line ____ or at the start of a ray.
type
location
segment
space

Explanation:

For the first question, the statement "Line \(\overleftrightarrow{ST}\) connects point \(S\) and point \(T\)" is about two - point to a line relationship. Postulate 1.2A states that through any two points there is exactly one line. Postulate 1.2D is about two - line intersection, Postulate 1.2B is about three - non - collinear - point to a plane, and Postulate 1.2E is about two - plane intersection.
For the second question, by the definition of a line segment, it has two endpoints. A ray has one endpoint. The word that fits the blank is "segment" as it is the geometric figure (line segment) that has endpoints at both of its ends.

Answer:

1. Postulate 1.2A: Through any two points there is exactly one line.
2. segment