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EXAM 2
Math 152 November 20, 2008
Name
You must show all your work. Partial credit will be given.
- Find all possible symmetries for the two figures below. (both line and rotation, if they exist.)
- Consider the analytic definition of a Rhombus and the analytic definition of a Parallelo- gram. Sketch a picture of a parallelogram. Is your picture a Rhombus? Could you draw a Parallelogram which is a Rhombus? If so, draw one, if not explain.
- Assume that lines l and m are parallel. What is m(^6 3), if the m(^6 6) = 63◦? What is the m(^6 4)?
l
m
- Below are two Hexagons. In one of them draw line segments that divide the hexagon into three identical parts where each part is a Rhombus. In the other draw line segments that divide the hexagon into six identical parts where each part is a Kite.
T T T T T
T
T
T
T
T
T
T T T T T T
T
T
T
T
T
T
T
- Sketch an isosceles trapezoid and show all of its symmetries (both line and rotational).
- For each of the following geometric types some of the vertex angles are listed. Find the other vertex angle.
(a) Triangle: one angle measures 25◦^ another angle measures 75◦, what does the third angle measure?
(b) Kite (Not a rhombus): Two opposite angles measure 115◦, what do the other angles measure?
(c) Hexagon: Angles of measure 105◦, 125◦, 115◦, 135◦, 155◦^ exist, what is the measure of the 6th^ angle?
- Find all possible symmetries for the two figures below. (both line and rotation, if they exist.)
- Suppose we know that the m(^6 6) = 61◦^ and m(^6 2) = 119◦. Are the lines l and m parallel or not parallel?
l
m
