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

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LaurenCamp29
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196869
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Math: Paralleogram/Rhombus/Rectange/Square/Kite/Isos Trapezoid
Updated:
2013-02-11 15:44:25
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rhombus math geometry soph notes vocab parallelogram rectange square kite isostrapezoid 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

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