# Math: Paralleogram/Rhombus/Rectange/Square/Kite/Isos Trapezoid

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1. 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
2. Parallelogram with four congruent sides
Rhombus
3. 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
4. 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
5. 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
6. 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
7. A parallelogram that has all right angles
Rectangle
8. What is the theorem of a Rectangle?
A parallelogram is a rectangle if and only if its diagonals are congruent
9. What is the Corollary of a Rectangle?
A quadrilateral is a rectangle if and only if it has four right angles
10. What is a Square a combination of?
(3)
• Rhombus
• Parallelogram
• Rectangle
11. A parallelogram that has all sides congruent and all angles congruent
Square
12. What is the Square Corollary?
A quadrilateral is a square if and only if it is a rectangle AND a rhombus
13. True or False?:
Every rectangle is a square
False
14. True or False?:
Every square is a rectangle
True
15. True or False?:
Every rhombus is a parallelogram
True
16. True or False?:
Every parallelogram is a rectangle
False
17. True or False?:
Every rectangle is a parallelogram?
True
18. All quadrilaterals are equal to what?
360 degrees
19. The angles between the the 2 different sides are always...
Congruent
20. 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
21. Quadrilateral that has 2 pair of congruent consecutive sides, but opposite sides are not congruent.
Kite
22. Kite:
What if the opposite sides were congruent?
It would be a rhombus
23. A quadrilateral having only one pair of parallel sides
Trapezoid
24. Isosceles trapezoids have congruent what?
Legs
25. What part is parallel in a Trapezoid?
The 2 bases
26. 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
27. A segment that joins the midpoints of the trapezoids legs.
Midsegment of a Trapezoid
28. 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
29. Midsegment trapezoid theorem equation?
Midsegment=1/2(base1+base2)
30. Properties of Isos Trapezoid?
(3)
• Diagonals are congruent
• Base angles are congruent
• Has only 1 pair of opposite sides
31. 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 Folders: Description: Go in order Show Answers: