Answer:
D.) Square MARK ME BRAINLIEST!!
Step-by-step explanation:
A quadrilateral is a rectangle if and only if it has four right (congruent) angles. ABCD is a rectangle if and only if ∠A≅∠B≅∠C≅∠D.A quadrilateral is a rhombus if and only if it has four congruent sides. ABCD is a rhombus if and only if AB⎯⎯⎯⎯⎯⎯⎯≅BC⎯⎯⎯⎯⎯⎯⎯⎯≅CD⎯⎯⎯⎯⎯⎯⎯⎯≅AD⎯⎯⎯⎯⎯⎯⎯⎯.A quadrilateral is a square if and only if it has four right angles and four congruent sides. By definition, a square is a rectangle and a rhombus. ABCD is a square if and only if ∠A≅∠B≅∠C≅∠D and AB⎯⎯⎯⎯⎯⎯⎯≅BC⎯⎯⎯⎯⎯⎯⎯⎯≅CD⎯⎯⎯⎯⎯⎯⎯⎯≅AD⎯⎯⎯⎯⎯⎯⎯⎯.You can always show that a parallelogram is a rectangle, rhombus, or square by using the definitions of these shapes. There are some additional ways to prove parallelograms are rectangles and rhombuses, shown below:1. A parallelogram is a rectangle if the diagonals are congruent. ABCD is parallelogram. If AC⎯⎯⎯⎯⎯⎯⎯⎯≅BD⎯⎯⎯⎯⎯⎯⎯⎯, then ABCD is also a rectangle.2. A parallelogram is a rhombus if the diagonals are perpendicular. ABCD is a parallelogram. If AC⎯⎯⎯⎯⎯⎯⎯⎯⊥BD⎯⎯⎯⎯⎯⎯⎯⎯, then ABCD is also a rhombus.3. A parallelogram is a rhombus if the diagonals bisect each angle. ABCD is a parallelogram. If AC⎯⎯⎯⎯⎯⎯⎯⎯ bisects ∠BAD and ∠BCD and BD⎯⎯⎯⎯⎯⎯⎯⎯ bisects ∠ABC and ∠ADC, then ABCD is also a rhombus.
