Hgeometry

GeOverview 5.01

Quadrilaterals are four-sided shapes in which the interior angles add up to 360 degrees.


Parallelograms are quadrilaterals in which:
1. Both pairs of opposite sides arecongruent and parallel.
2. The diagonals bisect each other.
3. Both pairs of opposite angles are congruent.
4. Consecutive angles are supplementary.
Rectangles are quadrilaterals in which:
1. Bothpairs of opposite sides are congruent and parallel.
2. The diagonals bisect each other.
3. Both pairs of opposite angles are congruent.
4. Consecutive angles are supplementary.
5. Contains four rightangles.
6. The diagonals are congruent.
Rhombuses are quadrilaterals in which:
1. Both pairs of opposite sides are congruent and parallel.
2. The diagonals bisect each other.
3. Both pairs ofopposite angles are congruent.
4. Consecutive angles are supplementary.
5. All four sides are congruent.
6. The diagonals are perpendicular.
7. The diagonals bisect the angles.
Squares arequadrilaterals in which:
1. Both pairs of opposite sides are congruent and parallel.
2. The diagonals bisect each other.
3. Both pairs of opposite angles are congruent.
4. Consecutive angles aresupplementary.
5. Contains four right angles.
6. The diagonals are congruent.
7. All four sides are congruent.
8. The diagonals are perpendicular.
9. The diagonals bisect the angles.
GeOverview 5.03Two quadrilaterals that are not generally in the parallelogram family are the trapezoid and the kite.

Trapezoids are quadrilaterals in which:

1. A trapezoid has exactly one pair of parallelsides.
2. The consecutive angles between the bases of a trapezoid are supplementary.
3. A right trapezoid contains two right angles.
4. The midsegment of any trapezoid is parallel to the bases and ishalf the sum of the length of those bases.
5. An isosceles trapezoid has congruent legs.
6. The base angles of an isosceles trapezoid are congruent.

Kites are quadrilaterals in which:
1. A...