T4 ROTATIONS
Homework
The drawing to the right shows a
figure and two lines. Reflect the figure
over line l and then reflect that image
over line m to find the final image. What
is the relationship between the initial
figure and the final image?
1.
With t
2.1 Homework - Solutions
1. Prove Theorem 2 1. If A, B, and C are three different points of the same line, then exactly one
of them is between the other two.
Theorem
If A, B, and C are three points of the same line, then
exactly one of them is between th
1.1 Homework
1. Use the following postulates to define a geometry. That is, list all of the points and all
of the lines.
1. There exists at least one line.
2. Every line has exactly three distinct points.
3. Not all points are on one line.
4. There is at
T1 INTRODUCTION TO TRANSFORMATIONS
Homework
1. Let g(x) = 2x 1.
a. Find g (8) and g (-8).
b. Find the image of 5.
c. Find the preimage of 7.
d. Is g(x) a one-to-one function?
Answers
15, and -17
9
X=4
Yes
2. Mapping G maps each point (x, y) to the point (
1.1 Homework
1. Use the following postulates to define a geometry. That is, list all of the points and all
of the line.
1. There exists at least one line.
2. Every line has exactly three distinct points.
3. Not all points are on one line.
4. There is at
T5 GLIDE REFLECTIONS AND MORE
Homework
1. The drawing to the right
shows a figure, one line,
and a segment AB parallel
to the line. Reflect the
figure over the line and
then translate the figure
in the direction of A to B
through a distance of AB.
What is
T3 TRANSLATIONS
Homework
The drawing to the right shows a
figure and two lines. Reflect the figure
over line l and then reflect that image
over line m to find the final image. What
is the relationship between the initial
figure and the final image?
1.
Wit