Midpoint

Learning Outcomes :

 1. Identify the midpoint of a straight line joining two points.

2. Find the coordinates of the midpoint of a straight line joining two points with :

                               I.            Common y-coordinates.

                            II.            Common x-coordinates.

3. Find the coordinates of the midpoint of the line joining two points.

4. Pose and solve problem involving midpoints.

Activity

Aim           : to find the midpoint of a straight line

Instruction : Carry out this activity in groups of four.

Materials   : Tracing paper, ruler and pencil.

Procedure :

1.      Draw a straight line on a piece of tracing paper, Label the line as PQ.

2.      Fold the tracing paper so that the two ends of the line overlap each other perfectly.

3.      Unfold the tracing paper, mark the folded part of the line as R.

4.      Is R equidistant from P and Q ? Discuss.

From the activity , we find that R is midpoint of the line PQ.

Example

 Identify the midpoints of the following straight lines.

a)

SOLUTION

Points C is midpoint of AE.

b)                 

SOLUTION

Points O is the midpoint of MQ.