Quads Flashcards
Parallelogram (Def)
Opposite Sides Parallel
Rhomus (Def)
All sides congruent
Rectangle (Def)
Four Right Angles
Square (Def)
All sides congruent and four right angles
Kite (Def)
Two nonoverlapping pairs of congruent consecutive sides
Trapezoid (Def)
Exactly one pair of parallel sides
Isosceles Trapezoid (Def)
Exactly one pair of parallel sides and another pair of congruent sides
Properties of a Parallelogram
diagonals bisect each other
opposite sides congruent
opposite angles congruent
Properties of a Rectangle
all properties of parallelograms
diagonals are congruent
Properties of a Rhombus
all properties of a parallelogram
all sides congruent
diagonals bisect two angles each
diagonals make four congruent triangles
diagonals are perpendicular bisectors of each other
Properties of a Square
all properties of a rectangle
all properties of a rhombus
all properties of a parallelogram
Properties of an Isosceles Trapezoid
bases are parallel
base angles are congruent
diagonals congruent
Properties of a Trapezoid
NOTHING
Ways to Prove a Quad is a Parallelogram
opposite sides parallel (def)
opposite sides congruent (thm)
opposite angles congruent (thm)
one pair of opposite sides are both parallel and congruent (thm)
diagonals bisect each other (thm)
one pair of opposite sides parallel and one pair opposite angles congruent (thm)
Ways to Prove a Quad is a Rectangle
four right angles (def)
pgram then diagonals congruent (thm)
pgram, then one angle is right (thm)