2017 · Q75
Let ABCD be a rectangle. Let P, Q, R, S be the mid-points of sides AB, BC, CD, DA respectively. Then the quadrilateral PQRS is a
Elementary MathematicsQuadrilaterals and Polygons
- ASquare
- BRectangle, but need not be a square
- CRhombus, but need not be a square
- DParallelogram, but need not be a rhombus
Explanation
The four mid-points form congruent right triangles at the corners, so all four sides of PQRS are equal — a rhombus. It is a square only when ABCD is a square: option C.