**Draw Your Own Figure**

Question 2 with Solution

Question 2 with Solution

Last week, I went over a strategy for solving certain math problems on standardized tests by drawing a figure, and I gave you four problems to try on your own. You can see that post here: Math Strategy: Draw Your Own Figure

Today I would like to give a solution to the second of those four problems. You can see a solution for the first problem here: Draw Your Own Figure: Question 1.

**Example: **If line *m *is perpendicular to segment *PQ* at point *R,* and *PR* = *RQ*, how many points on line m are equidistant from point *P *and point *Q *?

A) One

B) Two

C) Three

D) More than three

Try to solve the problem yourself before checking the solution below.

**Solution: **Recall first that **equidistant** means at the same distance. So we’re looking for points on line *m* that are at the same distance from *P* as they are from *Q*. Let’s begin by drawing a picture:

Notice that *R* is equidistant from *P* and *Q*, so there is at least one. Let’s draw some more.

Since there are 5 shown in the above picture, the answer is choice D.

**Note: **Every point on line *m* is actually equidistant from *P* and *Q*. *m* is the **perpendicular bisector** of line segment *PQ*.

The **perpendicular bisector **of a line segment is a line perpendicular to the segment that passes through the midpoint of the segment.

**More Problems with Explanations**

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