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Published byIan Buckley Modified over 3 years ago

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by Carol Edelstein

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Polygon – a closed, straight- sided, plane figure.

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Angle – two rays that meet at a common end point.

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Degree – a unit of measurement of an angle, represented by the symbol º. 90º

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Diagonal – a line segment joining two non-adjacent vertices of a polygon.

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Quadrilateral – a polygon with 4 angles and 4 straight sides.

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Parallelograms – opposite sides are parallel and congruent. Rectangles – a parallelogram with all angles 90°. Squares – a rectangle with all sides equal. Rhombus – a parallelogram with all sides equal. Trapezoid – one set of sides are parallel.

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Quadrilaterals – 4 sided polygon Parallelograms (opposite sides are parallel and congruent). Trapezoids (one set of parallel sides) Square Rectangle Rhombus

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parallelogram rectangle rhombus square trapezoid quadrilateral

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The sum of all the interior angles equals 360º.

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Why is the sum 360º ? Well, if you choose a vertex you can only draw one diagonal. This one diagonal splits the quadrilateral into two triangles. Since the sum of the internal angles of a triangle are 180 degrees, a quadrilateral has 360 degrees (2 x 180 º ).

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The sum of all the interior angles equals 360º degrees. 65º 115º65º 115º 65º 115º + 360º

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90º ? ? 360º + 90º

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70º ? 110º 70º 110º ? + 360º 110º

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65º 115º65º ? 115º ? + 360º 115º

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60º 81º 104º ? + 360º 81º60º 104º ? 115º

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Now you know that… A quadrilateral is a 4-sided polygon. There are many types of quadrilaterals. Classification depends on how many sets of sides are parallel, the length of the sides and the measure of the interior angles. The sum of the interior angles of a quadrilateral is 360 º.

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