WAEC Mathematics 2018 Question 30

Question 30

Triangles and Quadrilaterals

In the diagram, WXYZ is a rectangle with dimension 8 cm by 6 cm. P, Q, R and S are the midpoints of the sides of the rectangle as shown. What type of quadrilateral is the shaded region?

A.Trapezium
B.Prism
C.Rectangle
D.Rhombus

Show the answer and explanation

Answer: D (Rhombus)

Explanation

Joining the midpoints of a rectangle gives four equal sides (each 5 cm) but no right angles: a rhombus.