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Math: Paralleogram/Rhombus/Rectange/Square/Kite/Isos Trapezoid
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5 Properties of Parallelograms?
Both pairs of opposite sides are parallel
Consecutive angles are supplementary
Both pairs of opposite sides are congruent
Both pairs of opposite angles are congruent
Diagonals bisect each other
Parallelogram with four congruent sides
Rhombus
What is the rhombus theorem?
(2)
A parallelogram is a rhombus if and only if its diagonals are perpendicular
And
If each diagonal bisects a pair of opposite angles
8 Properties of a Rhombus?
Both pairs of opposite sides are congruent
Diagonals are perpendicular
Diagonals bisect opposite angles
Consecutive angles are supplementary
Both pairs of opposite sides are congruent
Both pairs of opposite angles are congruent
Diagonals bisect each other
Has all sides congruent
7 Properties of a Rectangle?
Both pairs of opposite sides are parallel
Diagonals are congruent
Consecutive angles are supplementary
Both pairs of opposite sides are congruent
Both pairs of opposite angles are congruent
Diagonals bisect each other
Has all right angles
10 Properties for a Square?
Both pairs of opposite sides are parallel
Diagonals are perpendicular
Diagonals bisect opposite angles
Diagonals are congruent
Consecutive angles are supplementary
Both pairs of opposite sides are congruent
Both pairs of opposite angles are congruent
Diagonals bisect each other
Has all right angles
Has all congruent sides
A parallelogram that has all right angles
Rectangle
What is the theorem of a Rectangle?
A parallelogram is a rectangle if and only if its diagonals are congruent
What is the Corollary of a Rectangle?
A quadrilateral is a rectangle if and only if it has four right angles
What is a Square a combination of?
(3)
Rhombus
Parallelogram
Rectangle
A parallelogram that has all sides congruent and all angles congruent
Square
What is the Square Corollary?
A quadrilateral is a square if and only if it is a rectangle AND a rhombus
True or False?:
Every rectangle is a square
False
True or False?:
Every square is a rectangle
True
True or False?:
Every rhombus is a parallelogram
True
True or False?:
Every parallelogram is a rectangle
False
True or False?:
Every rectangle is a parallelogram?
True
All quadrilaterals are equal to what?
360 degrees
The angles between the the 2 different sides are always...
Congruent
Theorem for a kite
If a quadrilateral is a kite then it has exactly 1 pair of opposite congruent angles and the diagonals are perpendicular
Quadrilateral that has 2 pair of congruent consecutive sides, but opposite sides are not congruent.
Kite
Kite:
What if the opposite sides were congruent?
It would be a rhombus
A quadrilateral having only one pair of parallel sides
Trapezoid
Isosceles trapezoids have congruent what?
Legs
What part is parallel in a Trapezoid?
The 2 bases
2 Theorems about Isosceles Trapezoids?
IF a trapezoid is isosceles then each pair of base angles are congruent
A trapezoid is isosceles if and only if its diagonals are congruent
A segment that joins the midpoints of the trapezoids legs.
Midsegment of a Trapezoid
The midsegment of a trapezoid is parallel to each base and its length is one half the sum of the lengths of the bases
Trapezoid Midsegment Theorem
Midsegment trapezoid theorem equation?
Midsegment=1/2(base1+base2)
Properties of Isos Trapezoid?
(3)
Diagonals are congruent
Base angles are congruent
Has only 1 pair of opposite sides
The one property of Kites
Diagonals are perpendicular
Author:
LaurenCamp29
ID:
196869
Card Set:
Math: Paralleogram/Rhombus/Rectange/Square/Kite/Isos Trapezoid
Updated:
2013-02-11 20:44:25
Tags:
rhombus math geometry soph notes vocab parallelogram rectange square kite isostrapezoid isos trapezoid
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