A quadrilateral has two pairs of parallel sides and all four sides of equal length. The diagonals bisect each other at right angles. Which shape is it?
Show Worked Solution
Worked Solution
A quadrilateral with two pairs of parallel sides is a parallelogram-family shape. The condition that all four sides are equal rules out most parallelograms, leaving a rhombus. The condition that diagonals bisect each other at right angles is a defining property of a rhombus and distinguishes it from a rectangle (whose diagonals bisect each other but not at right angles).
Correct answer: Rhombus
Want more questions like this? Superholic Lab has 10,000+ MOE-aligned questions with full worked solutions.
Start Free Trial — 7 Days Free