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Chapter 1: Q. 9 (page 14)

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.

Short Answer

Expert verified

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

Step by step solution

01

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.

02

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.

03

Step 3. Conclusion.

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

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