Question

find the coordinates of the vertices of each figure. 5) translation: (x, y)→(x, y + 1) q(3, 1), r(3, 3), s(5, 1)

Explanation:

Step1: Apply translation to point Q

For point $Q(3,1)$, using the translation $(x,y)\to(x,y + 1)$, we keep the $x$-coordinate the same and add 1 to the $y$-coordinate. So, $x = 3$ and $y=1+1 = 2$. The new - coordinate of $Q$ is $(3,2)$.

Step2: Apply translation to point R

For point $R(3,3)$, with the translation $(x,y)\to(x,y + 1)$, $x = 3$ and $y=3 + 1=4$. The new - coordinate of $R$ is $(3,4)$.

Step3: Apply translation to point S

For point $S(5,1)$, using the translation $(x,y)\to(x,y + 1)$, $x = 5$ and $y=1+1 = 2$. The new - coordinate of $S$ is $(5,2)$.

Answer:

$Q'(3,2),R'(3,4),S'(5,2)$