Question

use the image to answer the question. a = (-5,4) b = (-1,4) c = (-5,1) d = (-1,1) jarvis wants to translate rectangle abdc horizontally by -4 and vertically by +3 to produce rectangle abdc. what will be the coordinates of c after jarvis completes this translation? (1 point)

Explanation:

Step1: Recall translation rule

For a point $(x,y)$ translated horizontally by $a$ and vertically by $b$, the new - point is $(x + a,y + b)$. Here, $a=-4$ and $b = 3$, and the original point $C$ has coordinates $(-5,1)$.

Step2: Calculate the new x - coordinate

The original x - coordinate of $C$ is $x=-5$. After horizontal translation by $a=-4$, the new x - coordinate $x'=-5+( - 4)=-5 - 4=-9$.

Step3: Calculate the new y - coordinate

The original y - coordinate of $C$ is $y = 1$. After vertical translation by $b = 3$, the new y - coordinate $y'=1 + 3=4$.

Answer:

$(-9,4)$