Question

Which of the following unique quadrilateral can be constructed if the measure of only two adjacent sides are given? [3 Marks]
i) Rhombus
ii) Rectangle
iii) Parallelogram

Answer 1

i) In a rhombus, all 4 sides are equal. So, if we know two adjacent sides then we only have 4 measurements. We can’t draw a unique rhombus.
[1 Mark]
ii) Next, a rectangle. We can construct it uniquely, as we know more than 5 measurements, because we know the length of all 4 sides, and each angle is 90 degrees.
[1 Mark]
iii) In a parallelogram, opposite sides are equal. So, if we know two adjacent sides then we only have 4 measurements. We can’t draw a unique parallelogram.
[1 Mark]