Properties of PolygonsA series of free High School Geometry Video Lessons from Brightstorm.
Parallelogram Properties Properties of parallelograms often show up in geometric proofs and problems. Parallelogram properties apply to rectangles, rhombi and squares. In a parallelogram, opposite sides are congruent, opposite angles are congruent, consecutive angles are supplementary and diagonals bisect each other. Other important polygon properties to know are trapezoid properties, and kite properties.
Trapezoid Arch and Panel Design Problem When identifying missing angle measurements in trapezoid design and trapezoidal arc problems, knowledge of trapezoid and angle properties is necessary. In a trapezoid design problem, one part of a shape is given while the rest of the shape needs to be imagined. With knowledge of missing angles, it is possible to find the vertex and the other angles by knowing about trapezoid properties and corresponding angles.
Rhombus Properties Properties of rhombi often show up in geometric proofs and many other types of problems. All parallelogram properties apply to rhombus properties since a rhombus is a type of parallelogram. In a rhombus, there are (1) two pairs of parallel sides, (2) four sides that are all congruent to each other, (3) diagonals that bisect the angles, and (4) diagonals that are perpendicular bisectors of each other.
Rectangle and Square Properties Squares and rectangles are special types of parallelograms with special properties. A square is a type of equiangular parallelogram and square properties include congruent diagonals and diagonals that bisect each other. A rectangle is a type of regular quadrilateral. Rectangle properties include (1) diagonals that are congruent, (2) perpendicular diagonals that bisect each other and (3) diagonals that bisect each of the angles.
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