Math by Grades

Math by Topics

$Math Word Problems$

$Probability$

$Set Theory$

Math Worksheets $Math Worksheets$

Math for Specific Tests $SAT Math$
$ACT Math$
$GMAT Math$
$GRE Math$
$High School, Regents$

Math Fun and Games $Math Trivia$
$Math Games$

Exam Preparation

Math in Video Lessons $Basic Algebra$

$Engineering Math$
$Singapore Math$
Science

Others

$What's New$

Properties of Quadrilaterals

High School Math based on the topics required for the Regents Exam conducted by NYSED.

Trapezoid Properties :
Trapezoids are one of the most common quadrilaterals. A trapezoid has one pair of parallel sides. When a trapezoid has two sets of parallel sides, it is a more specific type of trapezoid called a parallelogram. A more specific type of trapezoid is called an isosceles trapezoid. In addition to one pair of parallel sides, isosceles trapezoid properties include congruent legs, base angles and diagonals.

Parallelogram Properties :
Properties of parallelograms often show up in geometric proofs and problems. Parallelogram properties apply to rectangles, rhombi and squares. In a parallelogram, opposite sides are congruent, opposite angles are congruent, consecutive angles are supplementary and diagonals bisect each other. Other important polygon properties to know are trapezoid properties, and kite properties.

Rectangle and Square Properties :
Squares and rectangles are special types of parallelograms with special properties. A square is a type of equiangular parallelogram and square properties include congruent diagonals and diagonals that bisect each other. A rectangle is a type of regular quadrilateral. Rectangle properties include (1) diagonals that are congruent, (2) perpendicular diagonals that bisect each other and (3) diagonals that bisect each of the angles.

Rhombus Properties :
Properties of rhombi often show up in geometric proofs and many other types of problems. All parallelogram properties apply to rhombus properties since a rhombus is a type of parallelogram. In a rhombus, there are (1) two pairs of parallel sides, (2) four sides that are all congruent to each other, (3) diagonals that bisect the angles, and (4) diagonals that are perpendicular bisectors of each other.

Custom Search

We welcome your feedback, comments and questions about this site - please submit your feedback via our Feedback page.

Custom Search

Amazon.com Widgets