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Math 213 Chapter 12&13 Review Name___________________________
Show all work neatly! show the process, including every step. Box all final answers
1. Draw a quadrilateral similar to the one below where CB = 4cm, AB=5cm, AD=6cm, <BAD=134° and <CBA=82°
a. Find the measure of CDb. Find the measure of <CDAc. Find the measure of <BCD
2. List every geometric attribute of a rhombus:a. b. c. d. e. f.g.h.i.j.
3. Precisely define the symmetry of the star
4. Consider the house roof below, give an example of each of the following polygons:
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a. Parallelogramb. Isosceles trianglec. Isosceles trapezoidd. Non-Isosceles trapezoide. Name a polygon with more than 4 sidesf. Name another polygon with more than 4 sidesg. An acute angleh. A right anglei. An obtuse angle
5. Calculate the vertex angle, central angle, perimeter (cm) and area (sq cm) for the regular polygon
VA –
CA –
PERIMETER –
AREA –
6. Calculate the angles (given that the center polygon is regular) in order to draw a 7-point star with AB=14cm. Round the angles to the nearest .1° and locate them on your drawing
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7. Calculate the areas of the polygons, taking all measurements in centimeters.
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8. Calculate the volume and surface area of the building
9. Convert the volume into cubic meters
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10. Calculate the volume and surface area of the giant crayon (it could happen, Wisconsin has a giant ball of string!)
11. Convert the surface area into square inches
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12. Calculate the volume and surface area of the capsule
13. If the capsule is made of a substance weighing 12kg/cm3, calculate its weight in grams.