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25 Cards in this Set

  • Front
  • Back
rectangle
a quadrilateral with four right angles
theorem 6-4-1
if a quad. is a rectangle, then it is a parallelogram
theorem 6-4-2
if a parallelogram is a rectangle, then its diagonals are congruent
theorem 6-4-3
if a quad is a rhombus, then it is a parallelogram
theorem 6-4-4
if a parallelogram is a rhombus then its diagonals are perpendicular
theorem 6-4-5
if a parallelogram is a rhombus, then each diagonal bisects a pair of opposite angles
rhombus
a quadrilateral with four congruent sides
square
quadrilateral with four right angles and four congruent sides
theorem 6-5-1
if one angle of a parallelogram is a right angle, then the parallelogram is a rectangle
theorem 6-5-2
if the diagonals of a parallelogram are congruent, then the parallelogram is a rectangle
theorem 6-5-3
if one pair of consecutive sides of a parallelogram are congruent, then the parallelogram is a rhombus
theorem 6-5-4
if the diagonals of a parallelogram are perpendicular, then the parallelogram is a rhombus
theorem 6-5-5
if one diagonal of a parallelogram bisects a pair of opposite angles, then the parallelogram is a rhombus
kite
quad. with exactly two pairs of congruent consecutive sides
theorem 6-6-1
if a quad. is a kite then its diagonal are perpendicular
theorem 6-6-2
if a quad. is a kite, then exactly one pair of opposite angles are congruent
trapezoid
quad. with exactly one pair of parallel sides
base
each of the parallel sides
legs
the nonparallel sides
base angles
two consecutive angles whose common side is a base
isosceles trapezoid
the legs of a trap are congruent
theorem 6-6-3
if a quad.is an isosceles trapezoid then each pair of base angles are congruent
theorem 6-6-4
if a trapezoid has one pair of congruent base angles, then the trapezoid is isosceles
theorem 6-6-5
a trapezoid is isosceles if and only if its diagonals are congruent
midsegment of a trapezoid
segment whose endpoints are the midpoints of the legs