Translations
starstarstarstarstarstarstarstarstarstar
by Brian Gervase
| 12 Questions
Note from the author:
This mini lesson introduces to students to formal translations of a shape. Emphasis on developing the 'vector' as the way to descibe a translation. Students have an opportunity to play with translations in a guided fashion using Geogebra applets.
This dynamic worksheet will introduce us to translations as a way to "move" an object.
1
1
In the above box, click the translate tool button (looks like 2 arrows) and then click the blue triangle and the vector u1. Describe what happened to the triangle.

2
1
The new blue triangle is the exact same size as the original triangle.
True
False
3
1
Move the vector u1 such that the head (arrow) end of the vector is exactly on a lattice point (a corner). What is the SLOPE of the vector? Enter your answer as a fraction of the form a/b.
4
1
Using the slope as your guide, describe what happened to the triangle. Use words like "up/down" and "left/right".
5
1
A vector is a way of describing to someone HOW to move an object using the x & y axes as reference. A vector is written in the form < 3, -7 > which means "go right 3 and then down 7" since the x part is positive 3 and the y part is -7.

Write the vector u1 from above in the proper vector form. Give your answer in the form <a,b> using no spaces!
6
1
What is the vector you used above? Write it in the form <a,b>.
7
1
Consider two vectors <10,2> and <5,1>.

Compare and contrast these two vectors. What is the same about them and what is different?

Note: Move the vectors above to convince yourself of the answers below!
8
1
Which vector tanslates the blue triangle to the orange triangle?
u
z
v
none of them
9
1
Which vector tanslates the blue triangle to the green triangle?
u
z
v
none of them
10
1
Which vector tanslates the green triangle to the orange triangle?
u
z
v
none of them
11
1
Write vector v in the format <a,b>.
Enjoy the puzzle below! Use the vector tool to move each piece where it belongs. Use the 'undo' button if you don't like your move!
12
1
Take a screen shot of your completed puzzle and put in the box below using the image tool.