Determine whether it is true or false. If false, provide a counter example (you may paste your drawing). Given any two distinct points, we can construct exactly one line. Given any two distinct points, we can construct exactly one circle. Let A, B, C, and D, be positive integers. If A > B and C > D, then A - C > B - D. Given any line and a point not on it, there exists only one straight line that passes through that point and is parallel to the given line.

Determine whether it is true or false. If false, provide a counter example (you may paste your drawing). Given any two distinct points, we can construct exactly one line. Given any two distinct points, we can construct exactly one circle. Let A, B, C, and D, be positive integers. If A > B and C > D, then A - C > B - D. Given any line and a point not on it, there exists only one straight line that passes through that point and is parallel to the given line.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Question

Determine whether it is true or false. If false, provide a counter example (you may paste your drawing).

Given any two distinct points, we can construct exactly one line.
Given any two distinct points, we can construct exactly one circle.
Let A, B, C, and D, be positive integers. If A > B and C > D, then A - C > B - D.
Given any line and a point not on it, there exists only one straight line that passes through that point and is parallel to the given line.

Two-dimensional figure measured in terms of radius. It is formed by a set of points that are at a constant or fixed distance from a fixed point in the center of the plane. The parts of the circle are circumference, radius, diameter, chord, tangent, secant, arc of a circle, and segment in a circle.

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