Question

quadrilateral z has the following properties: - four congruent sides - diagonals are perpendicular - diagonals bisect opposite angles - no right angles what shape must quadrilateral z be? - rectangle - square - trapezoid - rhombus

Explanation:

1. Analyze Rectangle: A rectangle has right angles (contradicts "No Right Angles") and diagonals are congruent but not necessarily perpendicular (unless it's a square), so eliminate.
2. Analyze Square: A square has right angles (contradicts "No Right Angles"), so eliminate.
3. Analyze Trapezoid: A trapezoid has only one pair of parallel sides (not four congruent sides), so eliminate.
4. Analyze Rhombus: A rhombus has four congruent sides, diagonals are perpendicular, diagonals bisect opposite angles, and no right angles (unless it's a square), which matches all properties.

Answer:

D. Rhombus