Translations

by Brian Gervase

| 12 QuestionsNote 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.

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