Question

the coordinates of the vertices of a triangle are s (2, -2), t (2, 1), and v (-2, 2). triangle stv is translated 5 units to the right and 4 units up to create triangle stv as shown in the diagram below. what are the coordinates of the vertices of triangle stv? s = t =

Explanation:

Step1: Recall translation rule

For a translation of $a$ units to the right and $b$ units up, the rule is $(x,y)\to(x + a,y + b)$. Here $a = 5$ and $b=4$.

Step2: Find coordinates of $S'$

For point $S(2,-2)$, using the rule $(x,y)\to(x + 5,y + 4)$, we have $x=2,y = - 2$. Then $x'=2 + 5=7$ and $y'=-2 + 4 = 2$. So $S'=(7,2)$.

Step3: Find coordinates of $T'$

For point $T(2,1)$, with $x = 2,y=1$, then $x'=2+5 = 7$ and $y'=1 + 4=5$. So $T'=(7,5)$.

Step4: Find coordinates of $V'$

For point $V(-2,2)$, with $x=-2,y = 2$, then $x'=-2+5 = 3$ and $y'=2 + 4=6$. So $V'=(3,6)$.

Answer:

$S'=(7,2)$
$T'=(7,5)$
$V'=(3,6)$