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Q. 9

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Precalculus Enhanced with Graphing Utilities
Found in: Page 14
Precalculus Enhanced with Graphing Utilities

Precalculus Enhanced with Graphing Utilities

Book edition 6th
Author(s) Sullivan
Pages 1200 pages
ISBN 9780321795465

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Short Answer

If three distinct points P, Q, and R all lie on a line and if d(P,Q)=d(Q,R), then Q is called the _________ of the line segment from P to R.

Q is called the midpoint of the line segment from P to R.

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Step by Step Solution

Step 1. Given information.

The given statement is:

If three distinct points P, Q, and R all lie on a line and if d(P,Q)=d(Q,R), then Q is called the _________ of the line segment from P to R.

Step 2. Determine the missing term for the blank.

Distance between two-point P and Q is defined as d(P,Q).

It is given that d(P,Q)=d(Q,R), it means, the point Q is equidistant from P and R.

Since P, Q and R lie on a line, therefore Q is the midpoint of the segment PR.

Step 3. Conclusion.

Q is called the midpoint of the line segment from P to R.

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