Quadrilaterals Flashcards

1
Q

List the types of quadrilaterals.

A
  1. Parallelogram
  2. Rectangle
  3. Rhombus
  4. Square
  5. Trapezoid
  6. Kite
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2
Q

Which quadrilaterals are also parallelograms?

A
  1. Rectangle
  2. Rhombus
  3. Square
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3
Q

Which quadrilaterals are not parallelograms?

A
  1. Trapezoid

2. Kite

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4
Q

A quadrilateral with 2 pairs of parallel sides is called a __________?

A

Parallelogam

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5
Q

A quadrilateral with one pair of parallel sides is called a _______?

A

Trapezoid

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6
Q

A quadrilateral with 2 pairs of consecutive congruent sides is called a ______?

A

Kite

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7
Q

What is a rectangle?

A

A parallelogram with 4 right angles

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8
Q

What is a square?

A

A parallelogram with 4 right angles and 4 congruent sides

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9
Q

What is a rhombus?

A

A parallelogram with 4 congruent sides

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10
Q

What is the quadrilateral interior angle sum theorem?

A

The angles of a quadrilateral must always sum up to 360 degrees.

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11
Q

What are 3 properties of parallegrams?

A
  1. Opposite sides and opposite angles are congruent.
  2. Consecutive angles are supplementary.
  3. The diagonals must bisect each other.
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12
Q

What are the special properties of a rhombus?

A
  1. Consecutive sides are congruent.
  2. Diagonals are perpendicular.
  3. Opposite angles are congruent.
  4. Diagonals bisect the interioir angles.
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13
Q

What are the special properties of a rectangle?

A
  1. All angles are right angles.

2. Diagonals must be congruent to one another.

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14
Q

What are the special properties of a square?

A

All of the special properties of a rhombus.
1. Consecutive sides are congruent.
2. Diagonals are perpendicular.
3. Opposite angles are congruent.
4. Diagonals bisect the interioir angles.
All of the special properties of a rectangle.
1. All angles are right angles.
2. Diagonals must be congruent to one another.

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15
Q

What is an important property of a trapezoid?

A

Consecutive angles are supplementary

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16
Q

What are the properties of an isosceles trapezoid?

A

A quadrilateral with

  1. one pair of parallel sides and
  2. Congruent base angels
  3. Diagonals are congruent to each other
  4. Diagonals are piecewise congruent
17
Q

What is the median of a trapezoid?

A

A line segment that connects the midpoints of the 2 legs of the trapezoid

18
Q

How do you calculate the length of the median of a trapezoid?

A

It is equal to the average of the bases (the two parallel sides) of the trapezoid

19
Q

What is a kite?

A

It is a quadrilateral with two pairs of consecutive congruent sides.

20
Q

What are the properties of a kite?

A
  1. Opposite angles between the congruent sides are also congruent
  2. Diagonals are perpendicular
  3. The longer diagonal bisects the shorter diagonal
  4. The longer diagonal bisects the vertex angles