Question

kuta software - infinite geometry
translations
graph the image of the figure using the transformation given.

1. translation: 5 units right and 1 unit up

Explanation:

Step1: Recall translation rule

For a point $(x,y)$ translated $a$ units right and $b$ units up, the new - point is $(x + a,y + b)$. Here $a = 5$ and $b=1$.

Step2: Translate point $B$

Suppose the coordinates of point $B$ are $(x_B,y_B)$. The new coordinates $B'$ are $(x_B + 5,y_B+1)$.

Step3: Translate point $G$

Suppose the coordinates of point $G$ are $(x_G,y_G)$. The new coordinates $G'$ are $(x_G + 5,y_G+1)$.

Step4: Translate point $T$

Suppose the coordinates of point $T$ are $(x_T,y_T)$. The new coordinates $T'$ are $(x_T + 5,y_T+1)$.

Step5: Graph the new figure

Connect the translated points $B'$, $G'$, and $T'$ to form the image of the original figure.

Since we don't have the actual coordinates of $B$, $G$, and $T$ in numerical form from the image, the general procedure for graphing the translated figure is as above. To actually graph it on the given grid:

1. Locate each of the points $B$, $G$, and $T$ on the grid.
2. Move each point 5 units to the right and 1 unit up. Mark the new positions of the points.
3. Connect the new - marked points to form the translated figure.

Answer:

Graph the figure by translating each vertex 5 units right and 1 unit up and then connecting the new vertices.