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12 Cards in this Set

  • Front
  • Back
what are the PROPERTIES of a parallelogram
opposite sides parallel

opposite sides congruent

opposite angles congruent

a diagonal forms 2 congruent triangles

diagonals bisect eachother
what are the properties of a rectangle
opposite sides parallel

opposite sides congruent

opposite angles congruent

a diagonal forms 2 congruent triangles

diagonals bisect each other

diagonals are congruent

all angles are right angles
what are the properties of a rhombus
opposite sides parallel

opposite sides congruent

opposite angles congruent

a diagonal forms 2 congruent triangles

diagonals bisect each other

diagonals are perpendicular

a diagonal bisects 2 angles

all sides are congruent
what are the properties of a square
opposite sides parallel

opposite sides congruent

opposite angles congruent

a diagonal forms 2 congruent triangles

diagonals bisect each other

diagonals are congruent

diagonals are perpendicular

a diagonal bisects 2 angles

all angles are right angles

all sides are congruent
how do you prove a parallelogram
1) both pairs of opposite sides are parallel
2) both pairs of opposite sides are congruent
3) same pair of opposite sides are congruent and parallel
4) both pairs of opposite angles are congruent
5) if both diagonals bisect each other
how do you prove a rectangle
1) a quadrilateral with 4 right angles
2) a parallelogram with 1 right angle
3) a parallelogram with congruent diagonals
how do you prove a rhombus?
1) parallelogram with 2 consecutive sides congruent
2) quadrilateral with 4 consecutive sides congruent
3) parallelogram with one diagonal that bisects opposite angles
4) parallelogram with perpendicular diagonals
how to prove a square
prove it is a rectangle
how to prove a kite
2 pairs of disjoint sides are congruent

quadrilateral with one diagonal that is the perpendicular bisector of the second diagonal
how to prove an isosceles trapezoid
a trapezoid with 2 congruent legs

a trapezoid with congruent upper base angles

a trapezoid with congruent lower base angles

a trapezoid with congruent diagonals
how to prove a trapezoid
one and only ONE pair of opposite sides are parallel
the median of a trapezoid is...
parallel to both bases

and equal to the average of the SUM of the two bases