Quadrilaterals and Their Properties

A ______ is a closed figure with all sides composed of line segments.

In a trapezoid, there is exactly 1 pair of ______ sides.

A ______ has opposite sides that are parallel and congruent.

In a kite, the diagonals are ______.

A ______ is both a rectangle and a rhombus, with all angles being right angles and all sides equal.

Quadrilaterals

A quadrilateral is a closed figure with four sides. The sum of interior angles in any quadrilateral is 360°.

Trapezoid

A trapezoid has exactly one pair of parallel sides.
An isosceles trapezoid has congruent base angles.
A right trapezoid has two right angles. The right angles are the angles connecting the parallel sides.

Parallelograms

Opposite sides are parallel and congruent.
Opposite angles are congruent.
Consecutive angles are supplementary (add up to 180°).
Diagonals bisect each other.

Kite

Exactly two distinct pairs of adjacent sides are congruent.
Diagonals are perpendicular.
One diagonal divides the kite into two congruent triangles.

Rectangles

All angles are right angles.
Opposite sides are congruent and parallel.
Diagonals are congruent and bisect each other.

Rhombus

All sides are congruent.
Opposite sides are parallel and opposite angles are congruent.
Diagonals are perpendicular and bisect opposite angles.

Square

All sides and angles are congruent.
All angles are right angles.
Diagonals are congruent, perpendicular, and bisect opposite angles.

Explore the essential properties of different quadrilaterals including trapezoids, parallelograms, kites, rectangles, and rhombuses. Understand the characteristics that define each shape, such as side lengths, angles, and diagonals. Test your knowledge of geometry through this engaging quiz!