Chapter 14.1, Problem 30PSC

To determine

To sketch the locus of the midpoints of segments that are parallel to $\overline{TQ}$ and end on the sides of the rectangle.

Answer to Problem 30PSC

PA, PB and BR are the locus of midpoints.

Explanation of Solution

Given:

PQRS is a rectangle with PQ twice as long as QR and T is the midpoint of RS.

Calculation:

The following is thesketch of the midpoints of segments that are parallel to $\overline{TQ}$ and end on the sides of the rectangle.

  

PA, PB and BR are the locus of midpoints.