1. Please write your name in the front cover of your textbook, if you have not done so.
How to find the webpage of Mr. Willis and what is on the webpage…

2. 1.1 Introduction to Geometry

3. 1.1 A Game and Some Geometry
Suppose you are playing a scavenger hunt game.
The treasure is as far from the fountain as it is from the tree. Where could it be? How could you draw this?
Try it!
It is also 10 meters from the pole. Where could it be? How could you draw this?
Did you find the treasure?

4. The treasure is as far from the fountain as it is from the tree.
It is also 10 meters from the pole. Where could it be? How could you draw this?
In this example, let’s say the circle does intersect the line twice.

5. You find point X, but the treasure is not there.
Where else could the treasure be?
Must it be there? X
10 m.

6. Your drawing could look like this!
Thus, the treasure could be in two locations. y x
10 m.

7. . P Draw point P. Draw all points 5 cm from point P.
What have you drawn?
. P

8. 5 cm
. P

9. . T . F Draw points F and T. Draw all points equidistant from F and T.
What is this?
. T
. F

10. Draw F and T.
Is there a point 15 cm from both F and T?
How many points satisfy the requirement if T and F are less than 30 cm apart?
There are actually three ways to answer this question, depending
on the distance from F to T.
2 points.
. A
15 cm
. T
15 cm
. F
15 cm
. B
15 cm

11. . Y . X . P . T . T . F . F Point X is equidistant from F and T.
Point Y is equidistant from F and T.
Does this mean F is equidistant from X and Y?
. Y
No.
. P
. X
. T
. T
. F
. F

12. Suppose you were asked to find a point that is 5 cm from F, 5 cm from T, and 5 cm from P.
Does such a point exist?
. P
. T
. T
. F
. F
F and T are 11 cm apart.

13. . P . T . T . F . F The circle is all points 5 cm from F. 5 cm
F and T are 11 cm apart.

14. . P . T . T . F . F The circle is all points 5 cm from P.
Thus, there are two points that are each 5 cm from P and 5 cm from F.
. P
5 cm
. T
. T
. F
. F
5 cm
F and T are 11 cm apart.

15. . P . T . T . F . F The circle is all points 5 cm from T.
The three circles do not intersect in one point.
Thus, a point does not exist that is 5 cm from P, T, and F.
. P
5 cm
. T
. T
5 cm
. F
. F
5 cm
F and T are 11 cm apart.

16. Suppose you were asked to find a point that is equidistant from F, T, and P.
Does such a point exist?
. P
. T
. T
. F
. F

17. The orange line represents all points equidistant from F and T.

18. The blue line represents all points equidistant from F and P.

19. The green line represents all points equidistant from T and P.
Thus, point X is equidistant from all three points.
. P .X
. T
. T
. F
. F

20. We will get to this later, but this is how you construct a circle about a triangle.
. P .X
. T
. T
. F
. F

21. A Few Together From the HW Assignment 1A
Page 4 #7
Answer: The outer square is twice the area of the small square.

22. Homework Assignment 1A P. 3 WE #1-10
Read Section Complete P. 7 CE #1-10
P. 10 #25-45 Odd.