Question

question #5 g.gsr.3.3 select the notation that maps △abc onto △def. a. (x,y)→(x - 6,y - 5) b. (x,y)→(x - 5,y - 6) c. (x,y)→(x + 6,y + 5) d. (x,y)→(x + 5,y + 6) question #6 g.gsr.3.3 identify the transformation applied to △trg to create △zov

Explanation:

Step1: Analyze horizontal shift

To map $\triangle ABC$ to $\triangle DEF$, observe the change in $x -$ coordinates of corresponding vertices. If we take a vertex of $\triangle ABC$ and its corresponding vertex in $\triangle DEF$, we see that the $x -$ coordinate of the vertices of $\triangle DEF$ is 6 units more than the $x -$ coordinate of the vertices of $\triangle ABC$. For example, if a vertex of $\triangle ABC$ has $x$ - coordinate $x_1$ and the corresponding vertex of $\triangle DEF$ has $x$ - coordinate $x_2$, then $x_2=x_1 + 6$.

Step2: Analyze vertical shift

The $y -$ coordinate of the vertices of $\triangle DEF$ is 5 units more than the $y -$ coordinate of the vertices of $\triangle ABC$. If a vertex of $\triangle ABC$ has $y$ - coordinate $y_1$ and the corresponding vertex of $\triangle DEF$ has $y$ - coordinate $y_2$, then $y_2=y_1 + 5$. So the transformation is $(x,y)\to(x + 6,y + 5)$.

Answer:

c. $(x,y)\to(x + 6,y+5)$