Properties of Quadrilaterals

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Last updated 4:30 PM on 6/12/26
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28 Terms

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Rectangle

Parallelogram that has opposite sides that are congruent and four right angles

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Square

Parallelogram that is both a rectangle and a rhombus

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Parallelogram

quadrilateral in which both pairs of opposite sides are parallel

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Trapezoid

quadrilateral with exactly one pair of parallel sides. (parallel sides are bases)

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Isosceles Trapezoid

trapezoid in which non-parallel sides are congruent

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Rhombus

parallelogram with four congruent sides

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Quadrilateral

4 sided polygon

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Polygon

closed figure with no curved sides

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properties of quadrilateral

4 sides

sum of interior angles is 360

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properties of parallelograms

1. Opposite sides are congruent

2. Opposite angles are congruent

3. Diagonals bisect each other

4. Adjacent angles are supplementary (180 degrees)

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properties of rhombuses

(all properties of parallelograms)

1. diagonals are perpendicular

2. diagonals bisect each other

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properties of rectangles

(all properties of parallelograms)

1. diagonals are congruent

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properties of squares

(all properties of parallelograms)

(all properties of rhombuses)

(all properties of rectangles)

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properties of trapezoids

1. 2 sets of adjacent angles are supplementary

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properties of isosceles trapezoids

(all properties of trapezoids)

1. base angles are congruent

2. diagonals are congruent

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Which quadrilaterals have...

opposite sides are parallel

parallelogram, rectangle, rhombus, square

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Which quadrilaterals have...

one one pair of opposite sides is parallel

trapezoid and isosceles trapezoid

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Which quadrilaterals have...

opposite sides are congruent

parallelogram, rectangle, rhombus, square

19
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Which quadrilaterals have...

adjacent angles are supplementary (180 degrees)

parallelogram, rectangle, rhombus, square

20
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Which quadrilaterals have...

opposite angles are congruent

parallelogram, rectangle, rhombus, square

21
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Which quadrilaterals have...

all angles are right angles

rectangle, square

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Which quadrilaterals have...

all sides are congruent and diagonals are perpendicular

rhombus, square

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Which quadrilaterals have...

diagonals are congruent

rectangle, square

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Which quadrilaterals have...

diagonals bisect each other

parallelogram, rectangle, rhombus, square

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Which quadrilaterals have...

diagonals are congruent, perpendicular, and bisect each other

square

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Always, Sometimes, or Never

a square is a trapezoid

Never

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Always, Sometimes, or Never

a parallelogram is a rectangle

Sometimes

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Always, Sometimes, or Never

a square is a rectangle

Always