Geometry H - Properties of Polygons

Properties of a Parallelogram?

• Both pair of Opposite sides are parallel.

• Opposite sides are congruent.

• Opposite angles are congruent.

• Consecutive angles are supplementary (add up to 180°).

• Diagonals bisect each other.

“Big 5”

Properties of a rectangle?

• “Big 5”

• Equiangular (90°)

• Diagonals are congruent.

Properties of a rhombus?

• “Big 5”

• Equilateral

• Diagonals are perpendicular.

• Diagonals bisect opposite angles of rhombus.

Properties of a square?

• “Big 5”

• Rectangle with two congruent consecutive sides.

• Diagonals are congruent AND perpendicular.

• Equilateral.

• Rhombus with 4 right angles.

Properties of a Trapezoid?

• Quadrilateral having only TWO sides parallel.

• Legs CANNOT be parallel.

Properties of an Isosceles Trapezoid?

• Base angles are congruent.

• Diagonals are congruent.

• Midsegment is parallel to bases.

• Midsegment = ½ (b1+b2)

Properties of a Right Trapezoid?

• One leg is perpendicular to the bases.

Properties of a Kite?

• Quadrilateral with 2 pairs of consecutive sides congruent AND no opposite sides congruent.

• Diagonals are perpendicular.