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

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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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

Step by step solution

Step 1. Given information.

Step 2. Determine the missing term for the blank.

Step 3. Conclusion.

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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

Step by step solution

Step 1. Given information.

Step 2. Determine the missing term for the blank.

Step 3. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Decision Maths

Discrete Mathematics

Geometry

Mechanics Maths

Probability and Statistics

Study anywhere. Anytime. Across all devices.

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.