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.

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

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?

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

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.

Problem 8

Problem 9

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?

Problem 13

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

## Table of Contents

## Page 41

## Problem 1

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## Problem 2

## (a)

## (b)

## (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.

## 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

## Problem 7

brought to you by Livescribe

## Problem 8

Mustbe a kite.Mightbe a rhombus.## Problem 9

brought to you by Livescribe

## 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?

## 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

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## Problem 3

C'mon!

about this one!!!THINK## Problem 4

## 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.

## Problem 8

## Problem 9

## 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?

## Problem 13

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