Question

A few construction steps are given below. Using the given information, find the value of $\angle DMB$.

Step 1: Draw a line segment AB.
Step 2: With A as the center and radius more than half of AB on the compass, draw arcs above and below AB.
Step 3: With B as the center and the same radius on the compass, draw arcs above and below AB intersecting the previous arc at points C and D.
Step 4: Join C and D intersecting AB at M.

Answer 1

Draw a line segment AB.

With A as the center and radius more than half of AB on the compass, draw arcs above and below AB.

With B as the center and the same radius on the compass, draw arcs above and below AB intersecting the previous arc at points C and D.

Join C and D intersecting AB at M. (CD is the perpendicular bisector of line segment AB.)


CD is the perpendicular bisector of segment AB.

Therefore, $\angle DMB={90}^{\circ }$