Quadrilateral+Relationships+P3

__**Quadrilateral Relationships**__: created by Amy and Haley

__**DEFINITIONS:**__ //Parallelogram//: A Quadrilateral with both pairs of opposite sides parallel //Rhombus:// A Parallelogram with four congruent sides //Rectangle:// A Parallelogram with four right angles //Square//: A parallelogram with four congruent sides and right angles //Trapezoid (Trapezium):// A Quadrilateral with exactly one pair of parallel-the parallel sides are the bases //Isosceles Trapezoid//: A Quadrilateral with one pair of parallel sides- the parallel sides are the legs //Kite//: A Quadrilateral that has two distinct pairs of consecutive equilateral sides

__**THEOREMS:**__ **Theorem 8.3-** if a quadrilateral is a parallelogram, then it's opposite sides are congruent **Theorem 8.4**- If a quadrilateral is a parallelogram, then its opposite angles are congruent **Theorem 8.5-** If a quadrilateral is a parallelogram, then it's consecutive angles are supplementary. **Theorem 8.6-** If a quadrilateral is a parallelogram, then it's diagonals bisect each other. **Theorem 8.7-** If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram **Theorem 8.8-** If both pairs of opposite angles of a quadrilateral are congruent, then the quadrilateral is a parallelogram. **Theorem 8.9**- If one pair of opposite sides of a quadrilateral are congruent and parallel, then the quadrilateral is a parallelogram. **Theorem 8.10-** If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram **Therom 8.14-** If a trapezoid is isosceles, then each pair of base angles are congruent. **Theorem 8.15**- If a trapezoid has a pair of congruent base angles, then it is an isosceles trapezoid. **Theorem 8.16**- A trapezoid is isosceles if and only if it's diagonals are congruent.

[|Extra Help] [|Even More Help]
 * __LINKS:__**

quadrilateral bunny review videoPBS has a video to help review- click the link then go to the quadrilateral bunny.
 * __EXTRAS:__**

Quadrilateral relations This video helps to show the relationships between quadrilaterals.





[|PRACTICE!]

**An iscocolese trapezoid is always a __and__ __**