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MATH > Properties of Quadrilaterals > Flashcards

Properties of Quadrilaterals Flashcards

1
Q

If a quadrilateral is a PARALLELOGRAM…

A
  • Opposite sides are congruent,

- Diagonals bisect each other

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2
Q

Conditions for a PARALLELOGRAM

A
  • If both pairs of opposite sides of a quadrilateral are congruent
  • If one pair of opposite sides of a quadrilateral are parallel and congruent
  • If both pairs of opposite angles of a quadrilateral are congruent
  • If the diagonals of a quadrilateral bisect each other
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3
Q

If a quadrilateral is a RECTANGLE…

A
  • It is a parallelogram
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4
Q

If a parallelogram is a RECTANGLE…

A
  • Its diagonals are congruent
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5
Q

Conditions for a RECTANGLE

A
  • If one angle of a parallelogram is a right angle

- If the diagonals of a parallelogram are congruent

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6
Q

Definition of RECTANGLE

A

A quadrilateral with 4 right angles

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7
Q

If a quadrilateral is a RHOMBUS…

A
  • It is a parallelogram

- Each diagonal bisects a pair of opposite angles

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8
Q

Conditions for a RHOMBUS

A
  • If one pair of consecutive sides of a parallelogram are congruent
  • If the diagonals of a parallelogram are perpendicular
  • If one diagonal of a parallelogram bisects a pair of opposite angles
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9
Q

Definition of RHOMBUS

A

A quadrilateral with four congruent sides

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10
Q

If a quadrilateral is a SQUARE

A
  • It is a parallelogram

- It is a rectangle

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11
Q

Definition of a SQUARE

A

A quadrilateral with four congruent sides and four right angles

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12
Q

If a quadrilateral is a KITE…

A
  • Its diagonals are perpendicular
  • Exactly one pair of opposite angles are congruent
  • One of the diagonals bisects the pair of non-congruent angles
  • If a quadrilateral is a kite, then exactly one diagonal bisects the other
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13
Q

Definition of KITE

A
  • A quadrilateral with two distinct pairs of congruent, consecutive sides
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14
Q

Definition of TRAPEZOID

A

A quadrilateral with at least one pair of parallel sides

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15
Q

Definition of Isosceles Trapezoid

A

A trapezoid where the legs are congruent but not parallel

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16
Q

If a quadrilateral is an ISOSCELES TRAPEZOID…

A
  • Each pair of base angles are congruent
17
Q

Conditions for ISOSCELES TRAPEZOIDS

A
  • If a trapezoid has one pair of congruent base angles

- If and only when a trapezoid’s diagonals are congruent

MATH (1 decks)

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