
Topic 6 Quadrilaterals and Other Polygons Answers Form


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People also ask
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What is the number of sides of a convex polygon if the sum of the measures of its interior angles is 540?
If the sum of the interior angles of a polygon is 540 degrees, then how many sides does the polygon have? 5, 6, 7, 8. Therefore, the polygon has 5 sides and it is a pentagon.
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How does the number of sides in convex polygons relate to the sums of the measures of the exterior and interior angles?
The sum of the measures of the interior angles of a convex polygon is 180° (n-2), where n is the number of sides of the polygon. The sum of the measures of the exterior angles of a convex polygon, one at each vertex, is 360°.
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Is any 4-sided polygon a quadrilateral?
A polygon with 4 sides is called a quadrilateral. Any shape that is closed and has 4 sides is a quadrilateral, but there are 6 special quadrilaterals that have specific attributes that make them unique and give them their own names.
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How does the number of sides of a convex polygon n relate to the sum of measures of its interior angles?
Generalising the above, the sum of interior angles of a convex polygon with 'n' sides is equal to '(n−2)×180∘'.
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What are the 6 quadrilaterals?
They are: Trapezium. Parallelogram. Rectangle. Rhombus. Square. Kite.
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How does the number of sides of a polygon relate to its interior angles?
The formula for calculating the sum of interior angles is ( n − 2 ) × 180 ∘ where is the number of sides. All the interior angles in a regular polygon are equal. The formula for calculating the size of an interior angle is: interior angle of a polygon = sum of interior angles ÷ number of sides.
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What is the relationship between the exterior and interior angles of a convex polygon?
The sum of the exterior angles of any polygon (remember only convex polygons are being discussed here) is 360 degrees. This is a result of the interior angles summing to 180(n-2) degrees and each exterior angle being, by definition, supplementary to its interior angle.
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What are the quadrilaterals and polygons?
Squares and rectangles are quadrilaterals that have four right angles. If two figures are similar to each other the corresponding angles are congruent and the corresponding sides are proportional. Polygons are figures that are formed by three or more line segments.
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