Page 41


Problem 1


Page 41 #1
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Problem 2


(a)

2011-01-18_0001.jpg

(b)

2011-01-18_0002.jpg

(c)

Look at rectangle FCDE and think about this as a rectangle question.



Problem 3


Think of this as a question about triangles. If two sides of a triangle are 19 and 23 inches, the third side of the triangle would be longer than 4 inches but less than 42 inches.



Problem 4


Use the segment tool to try to create a trapezoid that meets the conditions of the problem.

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Problem 5


This is a problem about 30-60-90 right triangles. If the altitudes of an equilateral triangle are all 12cm, then in terms of the special right triangles, the longer leg of a 30-60-90 triangle is 12cm. The short leg is



This makes the sides of the triangle





Problem 6


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Problem 7


page 41 #7
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Problem 8


Must be a kite. Might be a rhombus.



Problem 9


page 41 #9
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Problem 10


Just do it, and perhaps, add your improved theorem HERE!



Problem 11




and





Problem 12


Before you jump into this applet, you should think carefully of a solution (the 15 minute rule).
Then, use the segment tool to draw in diagonal BD. What do you know about the diagonals? Focus your attention on triangle ABD. How is point G related to this triangle?

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Problem 13


If the diagonals of a square are 10 units longs, then using what I know about a 45-45-90 right triangle, this makes the diagonal a hypotenuse of this triangle. And I know that the hypotenuse is related to the legs by



Therefore,






Page 42


Problem 1 and 2


Page 42 #1, 2
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Problem 3


C'mon! THINK about this one!!!



Problem 4


2011-01-18_0003.jpg



Problem 5




Problem 6


2 diagonals in a quadrilateral, 5 diagonals in a pentagon, 9 diagonals in a hexagon, 14 diagonals in a septagon, 20 diagonals in an octagon. See a pattern? Find a formula!



Problem 7


This is known in the Biz as an Appollonian Circle. Apply the REFELCT IN A CIRCLE TOOL to the GOLD POINT.

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2011-01-18_0004.jpg



Problem 8


2011-01-18_0005.jpg



Problem 9


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Problem 10


BC would be 14.6 cm long, and the two angles, which are corresponding angles, would be equal.



Problem 11


Midpoint of OM



Problem 12


Type in u+w+v in the input line below. What does this mean?

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Problem 13


All except (e) and (f), though (e) and (f) will tesselate the plane if used together.