Just do it. If you do it correctly, the lines will have the same slope, and hence, be parallel.

Problem 3

Parallel in both cases.

Problem 4

In each case, the pairs are equal, with the exception of (d), in which they are supplementary.

Problem 5

Problem 6

They must be equal.

Problem 7

Convince yourself that triangle ADP is isosceles. Convince yourself that angle ADP is 150 degrees. Convince yourself that the angles DPA and DAP are both 15 degrees.

Problem 8

Dot Product? am + bn + cp = 0.

However, let's use the distance formula and see if we arrive at the same result.

And, it does!

Problem 9

am+bn+cp=0

Problem 10

am+bn=0

Page 32

Problem 1

There are a whole slew of vectors that will work. In fact, and vector [x,y,z] that satisfies 5x+7y+4z=0 will work. Hence, [4,0,-5] is one and [0,-4,7] is another.

Angle TAC is equal to the sum of the two interior angles on the other side of the triangle (these are called remote interior angles). You should prove this.

## Table of Contents

## Page 31

## Problem 1

(a) BPQ and PQC

(b) MPA and DQT

(c) CQT and APQ, TQD and QPB

## Problem 2

Just do it. If you do it correctly, the lines will have the same slope, and hence, be parallel.

## Problem 3

Parallel in both cases.

## Problem 4

In each case, the pairs are equal, with the exception of (d), in which they are supplementary.

## Problem 5

## Problem 6

They must be equal.

## Problem 7

Convince yourself that triangle ADP is isosceles. Convince yourself that angle ADP is 150 degrees. Convince yourself that the angles DPA and DAP are both 15 degrees.

## Problem 8

Dot Product?

am+bn+cp= 0.However, let's use the distance formula and see if we arrive at the same result.

And, it does!

## Problem 9

am+bn+cp=0## Problem 10

am+bn=0## Page 32

## Problem 1

There are a whole slew of vectors that will work. In fact, and vector [x,y,z] that satisfies 5x+7y+4z=0 will work. Hence, [4,0,-5] is one and [0,-4,7] is another.

## Problem 2

brought to you by Livescribe

## Problem 3

Angle TAC is equal to the sum of the two interior angles on the other side of the triangle (these are called remote interior angles). You should prove this.

## Problem 4

brought to you by Livescribe

## Problem 5

They add up to 360 degrees, but I will wait for your proof.

## Problem 6

n=36, x=98, y=73

I will wait for your work on this.

## Problem 7

In each case, the angle is 107 degrees.

Why?## Problem 8

The angles add up to 360 degrees. The opposite angles have equal measures. Adjacent angles are supplementary.

I will wait patiently for your proofs of these three facts.

## Problem 9

## Problem 10

Here is my first attempt at using my new portable document camera.

be sure the double the .717 because that is only the time it takes to go halfway. You should get about 1.4 hours