Question

The diagram shows a rhombus ABCD. The points B and D have coordinates (2,10) and (6,2) respectively, and A lies on the x-axis. The midpoint of BD is M. Find, by calculation, the coordinates of each of M, A and C.

Answer 1

0. Begin
1. Find the midpoint of segment BD using the midpoint formula:
M = (4,6)

2. If M is the midpoint of segment BD then it is also the midpoint of AB
3. AB needs to be drawn through M such that: AB ⊥ BD (Property of Rhombus)
4. While drawing segment AB, It is important that segment AB = AD since they are both sides of the rhombus.
A = (-3,2)
B = (11,10)
5. Connect the appropriate segments to see rhombus ABCD
6. End