Chapter 5, Problem 28CUR

To determine

To Complete: the statement $Q$ is the mid-point of $\underset{\_}{?}$ in shown in figure such that $MP=PO\text{ and }PQ$ is parallel to $ON$ .

Answer to Problem 28CUR

Mid-point and MN.

Explanation of Solution

Given Figure is shown as.

  

  $MP=PO\text{ and }PQ$ is parallel to $ON$ .

Theorem:

If a line that contains the mid-point of one side of a triangle and is parallel to another side passes through the midpoint of the third side.

Using the above theorem

Since, $P$ is the mid-point of $MO$ and $\text{and }PQ$ is parallel to $ON$ therefore $Q$ is the mid-point of $MN$ .

Therefore, the answer is midpoint and MN.