Classifying Quadrilaterals

classifying quadrilaterals
Cody Kirchhoff and Chris Putnam
what are the different types of quadrilaterals and what classifies them

• kites- two pairs of congruent sides, two pairs of adjacent sides that are congruent, no parallel lines

• squares- 4 right angles, parallelogram, 4 congruent sides, diagonals bisect, diagonals are the same distance, the sides are the same length, is a rectangle, rhombus, 4 parallel sides

• parallelograms- two sets of parallel sides, opposite angles are congruent, the diagonals bisect each other, opposite side lengths are congruent, consecutive angles are supplementary, all squares are parallelograms.

• rhombus- two sets of parallel lines, parallelogram, every side length is congruent, consecutive angles are supplementary, the diagonals are perpendicular, the diagonals bisect each other

• rectangles- two sets of parallel sides, parallelogram, two sets of congruent right angles, opposite sides are congruent, the diagonals bisect each other, the diagonals are the same length, consecutive angles are supplementary

• isoscles trapezoids- one set of parallel sides, all base angles are congruent, non parallel sides are congruent

• trapezoids- one set of parallel sides, make at least one triangle

• irregular quadrilaterals- no congruent sides, no congruent angles, no congruent parallel sides