Download Parallelogram – A quadrilateral with both pairs of opposite sides

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Definitions:
Parallelogram – A quadrilateral with both pairs of opposite sides parallel.
Convex polygon – A polygon whose interior angles all measure less than 180 degrees.
Rectangle – a parallelogram which contains a right angle.
Rhombus – a parallelogram with a pair of congruent adjacent sides.
Square – a rectangle with a pair of congruent adjacent sides
Theorem:
The sum of the measures of the interior angles of a convex polygon with n sides is 180˚ (n – 2).
The sum of the measure of the exterior angles (one to each vertex) of any polygon is 360˚.
The base angles of an isosceles trapezoid are congruent.
The diagonal of an isosceles trapezoid are congruent.
Properties of a Parallelogram:
1) Both pairs of opposite sides are congruent.
2) Opposite angles are congruent.
3) Consecutive angles are supplementary.
4) Each diagonal divides it into two congruent triangles.
5) The diagonal of a parallelogram bisect each other.
6) Both pairs of opposite sides are congruent.
7) The sum of the degree measures of the angles is 360˚.
Properties of a rectangle:
1) The diagonals are congruent.
2) It is an equiangular quadrilateral.
3) All the properties of a parallelogram.
4) It contains four right angles.
Properties of a Rhombus:
1) It is an equilateral quadrilateral.
2) The diagonals are perpendicular.
3) Each diagonal bisects the interior angle.
4) Each diagonal splits the rhombus into two congruent isosceles triangles.
5) Both pairs of opposite sides are parallel.
6) Consecutive angles are supplementary.
7) Opposite angles are congruent.
8) The sum of the degree measures of the angles is 360˚.
9) The diagonals bisect each other.
10) The diagonal divide the figure into four congruent triangles.
Properties of a Square:
1) All the properties of a triangle.
2) All the properties of a rhombus.
3) It’s a regular quadrilateral.
4) All four angles are right angles.
Properties of a trapezoid:
1) The sum of the degree measures of the angles is 360˚.
Properties of an isosceles Trapezoid:
1) The sum of the degree measures of the angles is 360˚.
2) The diagonals are congruent.
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