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UNIT
14
14.1: Translate a Figure
Graph the image given the preimage and the translation rule.

The image of $$\triangle ABC$$ is $$\triangle A'B'C'$$. Graph and label $$\triangle A'B'C'$$ after the translation $$( x,\;y)\longrightarrow (x \;+\; 6 ,\; y\; +\; 4)$$.
Find the translation rule that maps the preimage to the image.

Find the rule that translates quadrilateral $$ABCD$$ to quadrilateral $$A'B'C'D'$$.
Perform 2 consecutive translations.

$$\triangle ABC$$ is translated to $$\triangle A'B'C'$$ by the rule $$(x ,\; y) \longrightarrow (x \;+\; 7 ,\; y\; -\; 2)$$.
$$\triangle A'B'C'$$ is translated to $$\triangle A'' B'' C''$$ by the rule $$(x ,\; y) \longrightarrow (x\; -\; 4 ,\; y\; +\; 3)$$.
Find the coordinates of $$A'' ,\; B''$$ and $$C''$$, given

$$A(-3 ,\; 6) ,\; B(-1 ,\; 2),\; C(8 ,\; 2)$$