Question

State the common properties of a parallelogram and , a rectangle, a square, and a rhombus .

Answer 1

1. Properties of a square

1. All 4 sides are equal. Opposite sides are parallel.
2. All angles are equal.
3. Opposite angles are equal and supplementary (sum of the angles equals $\left({180}^0\right)$
4. Diagonals are equal and bisect each other at right angles
5. A square is a cyclic quadrilateral

2. Properties of a Rectangle

1. Opposite sides are parallel and equal.
2. All angles are equal.
3. Opposite angles are equal and supplementary
4. Diagonals are equal and bisect each other but NOT at right angles
5. A rectangle is a cyclic quadrilateral

3. Properties of a Parallelogram

1. Opposite sides are parallel and equal.
2. Opposite angles are equal
3. Adjacent angles are supplementary
4. Diagonals are NOT equal but bisect each other but NOT at right angles
5. A parallelogram is NOT a cyclic quadrilateral

4. Properties of a Rhombus

1. Opposite sides are parallel and equal.
2. All 4 sides are equal.
3. Opposite angles are equal
4. Adjacent angles are supplementary
5. Diagonals are NOT equal but bisect each other at right angles
6. A rhombus is NOT a cyclic quadrilateral