Some Special Parallelograms

Name the quadrilateral whose diagonals are equal.

Name the quadrilateral whose diagonals are perpendicular bisectors of each other.
 

Explain how a square is a parallelogram.

Explain how a square is a rhombus.

Explain how a square is a rectangle.

Identify all the quadrilaterals that have four right angles.

All squares are trapeziums.

All parallelograms are trapeziums.

 All rhombuses are kites.
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State whether true or false:
All kites are rhombuses.
 

All squares are not parallelograms

All squares are rhombuses and also rectangles.

All rhombuses are parallelograms.
 

All rectangles are squares.

$\mathrm{A}\mathrm{B}\mathrm{C}\mathrm{}$ is a right-angled triangle and $\mathrm{O}$ is the mid-point of the side opposite to the right angle. Explain why $\mathrm{O}$ is equidistant from $\mathrm{A}, \mathrm{B}$ and $\mathrm{C}$. (The dotted lines are drawn additionally to help you.)

Explain why a rectangle is a convex quadrilateral.

Name the quadrilateral whose diagonals bisect each other.
 

Explain how a square is a quadrilateral.

Identify all the quadrilaterals that have four sides of equal lengths.