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<strong>Chapter</strong> 8 <strong>Post</strong> <strong>Test</strong> <strong>Worksheet</strong>Name: _______________________Period: ______1. Complete the table below for regular polygons by filling in the blank with one of thefollowing: increases, decreases, does not change.As thenumber ofsidesThe sum ofthe interioranglesThe measureof oneinterior angleThe sum ofthe exterioranglesThe measureof oneexterior angleThe measureof onecentral angleIncreasesDecreasesIncreasesIncreasesDecreasesShow your work for all of the following problems2. Calculate the sum of the measures of the interior angles of a 95-gon.3. Use the theorems for interior and exterior angles of a polygon to find:a) the measure of each exterior angle in a regular 12-gon (dodecagon).b) the number of sides of an n-gon if the sum of the interior angles is 2520˚.c) the number of sides of a regular n-gon if one exterior angle measures 20˚d) the number of sides of a regular n-gon if one interior angle measures 170˚.NTHS 2012-2013 Page 1
<strong>Chapter</strong> 8 <strong>Post</strong> <strong>Test</strong> <strong>Worksheet</strong>4. Find x and/or y.a. b.142x2x842x110c.5x 4x + 2x – 105x + 62y3x + 52x – 2d.(x + 14)+64xe.150(x + 10)+x5. If each exterior angle on a regular polygon has a measure of 12, how many sides will thepolygon have?NTHS 2012-2013 Page 2
<strong>Chapter</strong> 8 <strong>Post</strong> <strong>Test</strong> <strong>Worksheet</strong>6. Find the area of the region where the congruentregular hexagons overlap.32’7. Draw and label a regular hexagon, then find the area of the regular hexagon with an apothem lengthof 6 cm.8. Draw and label a regular octagon, then find the area of the regular octagon with a radius of 9 cm.9. The area of a triangle is 17 in 2 . How tall is the triangle if the base is 4 inches?10. The area of the triangle is 302.6 cm 2 . If the height is 7 cm, calculate the length of the base tothe nearest tenth of a cm.11. Find the length of AB when the area of the triangle ABC is 95.7 mm 2 . Round answer tonearest 0.1 mm.A10 mmBCNTHS 2012-2013 Page 3
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