Question

1. The mid-point of the line segment joining the points (5, 7) and (3, 9) is also the mid-point of the line segment joining the points (8, 6) and (0, 10).
2. The diagonals of a rectangle are equal and bisect each other.

Options

• Only (i)

• Only (ii)

• Both (i) and (ii)

• Neither (i) nor (ii)

Answer 1

Both (i) and (ii)

Explanation:

By the midpoint formula, the midpoint of (5, 7) and (3, 9) is:

`((5 + 3)/2, (7 + 9)/2)` = (4, 8)

Also for (8, 6) and (0, 10) is;

`((8 + 0)/2, (6 + 10)/2)` = (4, 8)

So, (i) holds for (ii), rectangle diagonals are equal and bisect each other.