Download Quadrilateral Summary

Quadrilateral Summary
Ways to show that a quadrilateral is a parallelogram
If both pairs of opposite sides are parallel, then the quadrilateral is a parallelogram.
If both pairs of opposite sides are congruent, then the quadrilateral is a parallelogram.
If both pairs of opposite angles are congruent, then the quadrilateral is a parallelogram.
If one pair of opposite sides is both parallel and congruent, then the quadrilateral is a
parallelogram.
If the diagonals bisect each other, then the quadrilateral is a parallelogram.
Ways to show that a quadrilateral is a rectangle.
If a quadrilateral has four right angles, then it is a rectangle.
If a parallelogram has one right angle, then it is a rectangle.
If a parallelogram has congruent diagonals, then it is a rectangle.
Ways to show that a quadrilateral is a rhombus.
If a quadrilateral has four congruent sides, then it is a rhombus.
If a parallelogram has two consecutive sides congruent, then it is a rhombus.
If a parallelogram has perpendicular diagonals, then it is a rhombus.
Ways to show that a quadrilateral is a square.
If a quadrilateral is both a rectangle and a rhombus, then it is a square.
If a quadrilateral has four right angles and four congruent sides, then it is a square.
Ways to show that a quadrilateral is a trapezoid.
If a quadrilateral has exactly one pair of parallel sides, then it is a trapezoid.
Ways to show that a quadrilateral is an isosceles trapezoid.
If a quadrilateral has one pair of opposite sides parallel and the other pair of opposite sides
congruent, then it is an isosceles trapezoid.
If a trapezoid has congruent legs, then it is an isosceles trapezoid.
If a trapezoid has congruent diagonals, then it is an isosceles trapezoid.
Ways to show that a quadrilateral is a kite.
If a quadrilateral has two pairs of adjacent sides congruent and no opposite sides congruent.