EXAM 2
366-504
Mar. 30

Name
SSN

Section I. For each of these problems circle the correct answer. You may support your reasons if you so desire. (4 pts each)

1. The area of a rectangle is where x is the length of the rectangle and y is the width of the rectangle
   1. True
   2. False
2. The Pythagorean Theorem states that if a triangle has sides of length 3, 4 and 5 then that triangle MUST be a right triangle.
   1. True
   2. False
3. Which of the following is NOT a 'measurable' property of a coffee cup?
   1. Volume
   2. Weight
   3. Diameter
   4. Depth
   5. Beauty
4. The height of an equilateral triangle with a side length of 4 is .
   1. True
   2. False
5. A rigid motion takes a plane figure to another plane figure of the same shape, though the size may grow or shrink.
   1. True
   2. False
6. If two figures are similar then they are exactly the same size and shape.
   1. True
   2. False
7. The capital letter H has two, and only two, lines of symmetry.
   1. True
   2. False
8. Reflecting a figure twice about the same line of reflection results in the original figure.
   1. True
   2. False
9. A hemispherical bowl with a diameter of two feet will hold cubic feet of water.
   1. True
   2. False

Section II. In each of the following problems you must support your answer. You need not write every detail, but you must show how you got your answer. (6 pts each)

1. Suppose you have glass full of iced tea. If the glass is cylindrical with a diameter of 2.5 inches and is 6 inches tall, how many cubic inches of iced tea does the glass hold? (Assume those measurements are interior measurements.)
2. Find the area of the following figure.
   

   

3. Metric countries rate the fuel efficiency of a car by the number of liters of gasoline required to drive 100 kilometers. If a car takes 9 liters per 100 kilometers, what is its efficiency in miles per gallon? (Use the conversions 1 gal = 3.7854 L and 1 mile = 1.6 km.)
4. A baseball field is actually a square with 90 feet on a side. What distance must a catcher throw the ball in order to pick off a runner attempting to steal second?
5. A size transformation centered at some point O on the line l has taken the point P to P'. Find and label the point O then find and label the point Q' where Q' is the image of Q on l.
   
   
   

   

6. Are the following figures congruent? Why or why not? Are they similar? Why or why not?
   

   

Section III. In the following problems you need to describe your thought processes. Try to be concise. (7 pts each)

1. For each of the following figures complete the indicate symmetry (either point or line).
   

   

2. A grapefruit has an outside diameter of 5 inches. When cut open it is revealed that the peel is inches thick. What percentage of the grapefruit's volume is peel?
3. A water lily is floating in a murky pond rooted on the bottom of the pond by a stem of unknown length. The lily can be lifted 2 feet over the water and moved 6 feet to the side. What is the depth of the pond?
4. On the attached sheet of graph paper find the line of reflection and the slide arrow that will send B to B' and E to E'. Then draw the polygon in its new position.

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