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fomenos
2 years ago
15

Please help its due today 21 points

Mathematics
2 answers:
wel2 years ago
6 0

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.

elixir [45]2 years ago
3 0

Answer:

Step-by-step explanation:

A parallelogram is basically a shape with 4 corner and/or sides that has 2 sides that are 'parallel', as stated in the name itself.

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