Question

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) (-5,4) (-9,7) (-9,4) (5,7)

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

Step3: Calculate the new y - coordinate

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

Answer:

$(-9,4)$