Quads Flashcards

1
Q

Parallelogram (Def)

A

Opposite Sides Parallel

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2
Q

Rhomus (Def)

A

All sides congruent

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3
Q

Rectangle (Def)

A

Four Right Angles

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4
Q

Square (Def)

A

All sides congruent and four right angles

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5
Q

Kite (Def)

A

Two nonoverlapping pairs of congruent consecutive sides

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6
Q

Trapezoid (Def)

A

Exactly one pair of parallel sides

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7
Q

Isosceles Trapezoid (Def)

A

Exactly one pair of parallel sides and another pair of congruent sides

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8
Q

Properties of a Parallelogram

A

diagonals bisect each other

opposite sides congruent

opposite angles congruent

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9
Q

Properties of a Rectangle

A

all properties of parallelograms

diagonals are congruent

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10
Q

Properties of a Rhombus

A

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

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11
Q

Properties of a Square

A

all properties of a rectangle

all properties of a rhombus

all properties of a parallelogram

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12
Q

Properties of an Isosceles Trapezoid

A

bases are parallel

base angles are congruent

diagonals congruent

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13
Q

Properties of a Trapezoid

A

NOTHING

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14
Q

Ways to Prove a Quad is a Parallelogram

A

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)

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15
Q

Ways to Prove a Quad is a Rectangle

A

four right angles (def)

pgram then diagonals congruent (thm)

pgram, then one angle is right (thm)

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16
Q

Ways to Prove a Quad a Rhombus

A

all sides congruent (def)

diagonals perpendicularly bisect each other (thm)

pgram, then diagonals are perpendicular

pgram, then one diagonal bisects two angles (thm)

both diagonals bisect two angles each (thm)

pgram, then pair of consecutive sides congruent

17
Q

Ways to Prove a Quad a Square

A

all sides congruent and four right angles (def)

rect and rhombus (thm)

18
Q

Ways to Prove a Quad a Trapezoid

A

One pair oppsides parallel, other pair not parallel (def)

19
Q

Ways to Prove a Quad an Isosceles Trapezoid

A

bases parallel and other opposite sides congruent (def)

trap, then base angles congruent (thm)

trap, diagonals congruent (thm)