by carol edelstein polygon – a closed, straight- sided, plane figure
TRANSCRIPT
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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
115º65º65º
115º115º+360º
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90º
90º
90º
?
90º90º90º
?360º
+ 90º
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70º
?
70º
110º
70º70º
110º?+
360º110º
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65º
115º65º
?
65º65º
115º?+
360º115º
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60º81º
104º?+
360º81º60º
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 360º.