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:

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

7. Calculate the areas of the polygons, taking all measurements in centimeters.

8. Calculate the volume and surface area of the building

9. Convert the volume into cubic meters

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

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.