Download Quadrilateral

Geometry
Properties of Quadrilaterals 6.1-5
Date ____________ Name ________________________________
PROPERTIES OF QUADRILATERALS
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4-SIDED POLYGON
Quadrilateral
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Parallelogram
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BOTH PAIRS OPPOSITE SIDES PARALLEL
Both pairs opposite sides congruent
Both pairs opposite angles congruent
Diagonals bisect each other
Four pairs consecutive angles supplementary
FOUR RIGHT ANGLES
Diagonals congruent
Rectangle
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FOUR CONGRUENT SIDES
Diagonals perpendicular
Each diagonal bisects a
pair of opposite angles

Square
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Rhombus
FOUR RIGHT ANGLES AND
FOUR CONGRUENT SIDES
Geometry
Properties of Quadrilaterals 6.1-5
Date ____________ Name ________________________________
PROPERTIES OF TRAPEZOIDS
Quadrilateral

4-SIDED POLYGON
Parallelogram
Rhombus
Rectangle
Square
Base1
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Trapezoid
EXACTLY ONE PAIR OF PARALLEL SIDES
Median parallel to the bases
Leg1
Median ½ the sum of the measures of the bases
Leg2
Median
Base2
Base1

Leg1
Isosceles Trapezoid
(
Leg2
Base2
2
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LEGS CONGRUENT
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Diagonals congruent
Both pairs of base angles congruent
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Geometry
Properties of Quadrilaterals 6.1-5
Date ____________ Name ________________________________
PROPERTIES OF KITES
Quadrilateral
· 4-SIDED POLYGON
Parallelogram
Rhombus
Rectangle
Trapezoid
Square

TWO PAIRS OF CONGRUENT ADJACENT SIDES
AND NO OPPOSITE SIDES CONGRUENT
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

Diagonals are perpendicular
Exactly one pair of opposite angles are congruent
One diagonal bisects a pair of opposite angles
Kite
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Geometry
Properties of Quadrilaterals 6.1-5
Date ____________ Name ________________________________
A quadrilateral is a parallelogram if any of the following is true.
1. both pairs of opposite sides are parallel
(definition of parallelogram)
2. both pairs of opposite sides are congruent
3. both pairs of opposite angles are congruent
4. diagonals bisect each other
5. one pair of opposite sides are both
congruent and parallel
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Geometry
Properties of Quadrilaterals 6.1-5
Date ____________ Name ________________________________
A parallelogram is a rhombus if any of the following is true.
1. one pair of adjacent sides
congruent
2. one diagonal bisects a pair
of opposite angles
3. diagonals are perpendicular
A parallelogram is a rectangle if the following is true.
1. one right angle
2. diagonals are congruent
If three or more parallel lines cut off
congruent segments on one
transversal, then they cut off
congruent segments on every
transversal.
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