Classifying Quadrilaterals Definition Quadrilateral closed twodimensional figure with

Classifying Quadrilaterals

Definition • Quadrilateral – closed (two-dimensional) figure with four sides that are line segments – Classified by : # of parallel sides # of congruent sides sum of angles measure 360 degrees

Quadrilateral Family parallelogram rectangle trapezoid rhombus square kite

Property of Quadrilaterals • The sum of all the angles equals 360º degrees. 90º 90º + 90º 360º

Property of Quadrilaterals • The sum of all the angles equals 360º degrees. 90º 90º 90º + 90º 90º 360º

Property of Quadrilaterals • The sum of all the angles equals 360º degrees. 70º 70º 110º + 110º 360 º

Property of Quadrilaterals • The sum of all the angles equals 360º degrees. 65º 115º + 115º 360º

Parallelogram 1. Opposite sides parallel. 2. Opposite angles are congruent. 3. 2 pairs of parallel sides 4. 2 pairs of congruent sides.

Rectangle 1. Parallelogram 2. 4 right angles – 90 degrees 3. Diagonals bisect each other 1. 4. 2 pairs of parallel sides. 2. 5. 2 pairs of congruent sides

Square 1. Special rectangle and rhombus 2. 4 congruent sides 3. 4 congruent (right) angles 4. 2 pairs of parallel lines

Rhombus 1. Parallelogram 2. 4 Congruent sides 3. 2 pairs of parallel sides

Trapezoid 1. One pair of parallel sides (bases) and one pair of non -parallel sides (legs) 2. May have 2 90 degree angles or no 90 degree angles.

Kite 1. 2 pairs of adjacent congruent sides 2. One pair of opposite angles is congruent

Assignment • Page 348 -349 #1 -23 omit #22 (Green Book)