parallelogram
Some properties of parallelograms:
1.opposite sides are parallel (by definition)
2.opposite sides are congruent
3.opposite angles are congruent
4.diagonals bisect (cut into two equal pieces) each other
5.any pair of consecution (next to each other) angles are supplementary (sum to 180o)
rectangle
some properties of rectangles:
1.all properties of a parallelogram (by definition)
2.all angles are right angles
3.the diagonals are congruent
kites
some properties of kites:
1.two disjoint (nonoverlapping) pairs of consecutive sides are congruent (by definition)
2.diagonals are perpendicular
3.one diagonal is the perpendicular bisector of the other
4.one of the diagonals bisects a pair of opposite angles
5.one pair of opposite angles are congruent
rhombus
some properties of parallelograms:
1.all properties of a parallelogram (by definition)
2.all properties of kites (half properties become full properties)
3.all sides are congruent (a rhombus is equilateral)
4.the diagonals bisect the angles
5.the diagonals are perpendicular bisectors of each other
6.the diagonals divide the rhombus into four congruent squares
square
•A square is a rectangle that is a rhombus
trapezoids
some properties of trapezoids:
•bases are parallel (by definition)
•each lower base angle is supplementary to the upper base angle on the same side
•
some properties of isosceles trapezoids:
•nonparallel sides (legs) are congruent
•any lower base angle is supplementary to any upper base angle
•lower base angles are congruent
•upper base angles are congruent
•diagonals are congruent
Some properties of parallelograms:
1.opposite sides are parallel (by definition)
2.opposite sides are congruent
3.opposite angles are congruent
4.diagonals bisect (cut into two equal pieces) each other
5.any pair of consecution (next to each other) angles are supplementary (sum to 180o)
rectangle
some properties of rectangles:
1.all properties of a parallelogram (by definition)
2.all angles are right angles
3.the diagonals are congruent
kites
some properties of kites:
1.two disjoint (nonoverlapping) pairs of consecutive sides are congruent (by definition)
2.diagonals are perpendicular
3.one diagonal is the perpendicular bisector of the other
4.one of the diagonals bisects a pair of opposite angles
5.one pair of opposite angles are congruent
rhombus
some properties of parallelograms:
1.all properties of a parallelogram (by definition)
2.all properties of kites (half properties become full properties)
3.all sides are congruent (a rhombus is equilateral)
4.the diagonals bisect the angles
5.the diagonals are perpendicular bisectors of each other
6.the diagonals divide the rhombus into four congruent squares
square
•A square is a rectangle that is a rhombus
trapezoids
some properties of trapezoids:
•bases are parallel (by definition)
•each lower base angle is supplementary to the upper base angle on the same side
•
some properties of isosceles trapezoids:
•nonparallel sides (legs) are congruent
•any lower base angle is supplementary to any upper base angle
•lower base angles are congruent
•upper base angles are congruent
•diagonals are congruent