Quadrilaterals Classification: Parallelograms, Rectangles, Squares, Rhombi, and Trapezoids.

You get a problem that tells you something about a rhombus. It mentions the diagonals. How should you approach the solution? What are the properties that apply to this problem?

Many students report getting confused with all the properties for quadrilaterals. This lesson strives to easy that pain; by giving you the opportunity to view each one in the beginning, and all of them in context at the end. You won't be worried anymore about getting a problem that involves properties for a quadrilateral! Colors and animations guide you throughout the lesson!

Lesson's Content

Lesson's Glossary

Angle
Geometry shape formed by two rays (initial and ending sides of the angle) that share a common endpoint called the vertex. You may name an angle using the vertex, or a point in each ray and the vertex label in the center.

Isosceles trapezoid
Trapezoid with two non-congruent and non-parallel sides.

Kite
Parallelogram with two pairs of adjacent sides congruent and without opposite sides congruent.

Parallelogram
Any quadrilateral with two pairs of opposite sides parallel.

Polygon
It is a closed plane figure with a least three straight segments as sides.

Quadrilateral
A four-sided polygon.

Rectangle
Any parallelogram that has 4 right angles.

Rhombus
Any parallelogram with 4 congruent sides.

Square
Parallelogram with four congruent sides and four congruent angles.

Trapezoid
Quadrilateral with exactly one pair of parallel sides.

Interactive Geometric Applets: Relevant Theorems.

A parallelogram, a square, a rhombus, and a rectangle share the same properties. Opposite sides

are parallel and congruent, opposite angles are congruent, consecutive angles are supplementary, and

diagonals bisect each other. This applet may be manipulated to get each one of these figures.

Move it around to make it comply for each one of them.

The Isosceles Trapezoid is the rebel of the quadrilaterals. It only has one pair of parallel sides,

and one pair of congruent sides. Opposite angles are supplementary, and base angles are

congruent. All these reasons sets it apart from the parallelograms. Play with this interactive

to verify these properties. Meet the rebel!

Vocabulary Puzzle Interactive

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