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Q. 9

Expert-verifiedFound in: Page 14

Book edition
6th

Author(s)
Sullivan

Pages
1200 pages

ISBN
9780321795465

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 __m____idpoint__ of the line segment from *P* to *R*.

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*.

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*.

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

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