Question

Ye Li drew a quadrilateral that is both a rectangle and a rhombus. Name the quadrilateral and describe it using the properties of sides and angles.

Answer 1

We must look first for the properties given, so we have:
Rectangle - four sides, two pairs of opposite sides are parallel, four right anglesQuadrilateral - a four-sided figureRhombus - four sides, two pairs of opposite sides are parallel, all sides equal
So we're finding for a shape that has four sides that are all equal, with two pairs of parallel sides, and has four right angles. So from this description, we can say that it is a square. Squares have two pairs of parallel sides (like a rhombus and rectangle), four right angles (like rectangles), and four sides that are equal (like a rhombus). A square is also both a rectangle and a rhombus.

Answer 2

A quadrilateral that is both a rectangle and a rhombus is a square. A rectangle is defined as any shape with four sides and four interior right angles. A rhombus is defined as a shape with four sides where all sides are equal length, regardless of the interior angles. A square meets both of these criteria, having both 4 sides of equal length and 4 interior right angles.