Geometry- Chapter 7: Properties of Quadrilaterals
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10 Terms
Properties of a Parallelogram
A quadrilateral with two pairs of parallel sides. (Definition)
Both pairs of opposite sides are congruent.
Both pairs of opposite angles are congruent.
Consecutive angles are supplementary.
Diagonals bisect each other.
Properties of Rhombuses
All the properties of Parallelograms and…
A quadrilateral with 4 congruent sides. (Definition)
Diagonals are perpendicular.
Diagonals bisect (opposite) vertex angles.
Properties of Rectangles
All the properties of Parallelograms and…
A quadrilateral with 4 congruent angles. (Definition)
Diagonals are congruent.
Properties of Squares
All the properties of Parallelograms, Rhombuses, Rectangles and…
A regular quadrilateral. (Definition)
Properties of a Trapezoid
A quadrilateral with exactly one pair of parallel sides. (Definition)
Exactly two pairs of consecutive angles are supplementary.
Isosceles Trapezoids only:
Diagonals are congruent.
Base angles are congruent.
A Quadrilateral is a Parallelogram if (Choose One)
Both pairs of opposite sides are parallel.
Both pairs of opposite sides are congruent.
Both pairs of opposite angles are congruent.
An angle is supplementary to both its consecutive angles.
Diagonals bisect each other.
One set of opposite sides is parallel AND congruent.
A Quadrilateral is a Rectangle if (Choose One)
All 4 angles are right.
It is a parallelogram with one right angle.
It is a parallelogram with congruent diagonals.
A Quadrilateral is a Rhombus if (Choose One)
All 4 sides are congruent.
It is a parallelogram with perpendicular diagonals.
It is a parallelogram with a pair of consecutive congruent sides.
It is a parallelogram with a diagonal that bisects vertex angles.
A Quadrilateral is a Square if
It is a rectangle AND a rhombus.
Properties of a Kite
A quadrilateral with exactly two pairs of congruent consecutive sides but opposite sides are not congruent. (Definition)
Diagonals are perpendicular.
Exactly one pair of opposite angles is congruent.