# Translating by Vector <a,b>

- Author:
- melissahertel, Tim Brzezinski

## DIRECTIONS:

In the applet below,
1) Construct a triangle. A (2,1) B (4,1) C(3,4)
2) Use the VECTOR TOOL to construct any vector whose terminal points DOES NOT lie on top of its initial point.
3) Display the label of

**the triangle's 3 vertices**and**vector**you've just constructed. Use the "Name and Value" option when showing the label. 4) Use the TRANSLATE BY VECTOR TOOL to translate the triangle by <-6,-4>## 5)

Suppose the coordinates of a point *P = *(*x*, *y*). What is the image of *P* under a translation by vector with components <*a*, *b*>?

When you're done (or if you're unsure of something), feel free to check by watching the quick silent screencast below the applet.

## Quick (Silent) Demo

In the applet below,
1) Construct a quadrilateral A (-4, 1) B(-1,1) C (-1,5) D (-4, 5)
2) Use the VECTOR TOOL to construct any vector whose terminal points DOES NOT lie on top of its initial point.
3) Display the label of

**the triangle's 3 vertices**and**vector**you've just constructed. Use the "Name and Value" option when showing the label. 4) Use the TRANSLATE BY VECTOR TOOL to translate the triangle by <0,-3> 5) Use the TRANSLATE BY VECTOR TOOL to translate the triangle by <5,0> 6)Use the TRANSLATE BY VECTOR TOOL to translate the triangle by <4,-5>Translating the Quadrilateral ABCD by <0,-3> moved the pre-image

Translating the Quadrilateral ABCD by <5,0> moved the pre-image

Translating the Quadrilateral ABCD by <4,-5> moved the pre-image