Drawing and translating shapes on the coordinate grid

​​In a nutshell

You will learn to translate shapes by moving each point and redrawing the given shape using your knowledge.  Translation is the movement of a point or shape in a specific direction, at a specific distance.

Translating simple shapes

To translate a shape, you should translate each of its corners individually and redraw the shape in its new position. 

Example 1

Translate the square $$B$$​ by $$\begin{pmatrix} 4 \\ -4\end{pmatrix}$$.

Note: $$\begin{pmatrix} 1 \\ 1\end{pmatrix}$$ means move one to the right and one up. $$\begin{pmatrix} -1 \\ -1\end{pmatrix}$$ means move one to the left and one down.

Translating coordinates

Sometimes you may not have grids to help. You can use the translation numbers to solve the new position of a shape. 

Example 2

The triangle $$XYZ$$​ has the given coordinates: $$X(4,7)$$​; $$Y(2,4)$$; $$Z(6,2)$$. Translate this by $$\begin{pmatrix} -3 \\ -2 \end{pmatrix}$$.

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$$\underline{X':(1,5)}$$

$$\underline{Y':(-1,2)}$$

$$\underline{Z':(3,0)}$$

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