Q3. - Geometry

Question

Draw a figure roughly like one shown, but larger. Do the indicated construction clearly enough so that your method can be understood easily.

The perpendicular bisector of $\overline{JK}$.

Step-by-Step Solution

Answer

Step 1. Given information.

A line segment $\overline{JK}$ is given.   

Step 2. Concept used.

Draw by using compass.

Step 3. Construction.

Step 1: Draw a line segment $\overline{JK}$:

Step 2: With $J$ as a center and radius equal to more than half of the length of $\overline{JK}$, draw an arc on both sides of $\overline{JK}$:

Step 3: Now with $K$ as a center and the same radius as in step 2, draw the arcs on both sides of $\overline{JK}$ such that these arcs intersects the previous arcs at $P and Q$:

Step 4: Join $P and Q$:

Therefore, $\overline{PQ}$ is perpendicular bisector of$\overline{JK}$.