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Properties of Quadrilaterals Mrs. Hofsted Geometry Name: ________________________ Day: ____ Block: ____ Name of
Polygon
Picture
Quadrilateral Plural: Quadrilaterals Sides
Extra
Information
Contains 4 interior angles which sum to 360o Any four sided figure with straight sides and no gaps is a quadrilateral Contains 2 diagonals (segments between non‐
consecutive sides) Opposite sides are congruent Opposite sides are parallel Diagonals bisect Opposite each other angles are congruent Consecutive angles are supplementary
A parallelograms is a quadrilateral and has all of the properties of quadrilaterals + the properties listed to the left All sides are congruent Diagonals are perpendicular A rhombus is a parallelogram and has all of the properties of parallelograms + the properties listed to the left If one pair of opposite sides of a quadrilateral are both parallel and congruent then the quadrilateral is a parallelogram Rhombus Plural: Rhombi Interior
Angles
4 straight sides that intersect to form 4 vertices Parallelogram Plural: Parallelograms Diagonals
Each interior angle is bisected by a diagonal Name of
Polygon
Picture
Rectangle Plural: Rectangles
Square Plural: Squares Sides
Diagonals
Interior
Angles
Extra
Information
Opposite sides are parallel and congruent Consecutive sides are perpendicular
Diagonals are congruent and bisect each other Opposite angles are congruent and supplementary
Consecutive angles are congruent and supplementary
A rectangle is a parallelogram and has all of the properties of parallelograms + the properties listed to the left All sides are congruent Diagonals are perpendicular Each interior angle is 90o Opposite angles are bisected by diagonals All squares are rectangles and rhombi and have the properties of rectangles and rhombi + the properties listed to the left Name of
Polygon
Trapezoid Plural: Trapezoids Isosceles Trapezoids Plural: Isosceles Trapezoids Picture
Sides
One pair of opposite sides that are parallel called bases One pair of All trapezoids are quadrilaterals and opposite sides have the properties of quadrilaterals that are NOT parallel called legs Diagonals
The legs are Diagonals are congruent congruent Notice that both isosceles triangles and isosceles trapezoids have two sides that are congruent Interior
Angles
Extra Information
The median of a trapezoid is the segment that joins the midpoints of its legs The length of the median is equal to ½ the sum of the lengths of the bases Median = ½ (b1 + b2) Both pairs of base angles are congruent An isosceles trapezoid has all of the properties of a trapezoid + the properties listed to the left The median of an isosceles trapezoid bisects both legs Name of
Polygon
Picture
Kite Plural: Kites 2 distinct pairs of consecutive sides that are congruent Notice that consecutive sides are NOT necessarily congruent All kites are quadrilaterals and have the properties of quadrilaterals Sides
Diagonals
Interior
Angles
Extra Information
Diagonals Non‐vertex between the angles are vertex angles congruent bisects the diagonal between the non‐vertex angles Diagonals are perpendicular All kites are quadrilaterals and have the properties of quadrilateral + those listed to the left Vertex angles are those angles formed by congruent consecutive sides Non‐vertex angles are those formed by NON‐congruent consecutive sides Notice a kite is composed of two isosceles triangles with the same base length but different leg lengths
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