Question

10 fill in the blank 6 points translate triangle abc with vertices a(0, 7), b(7, 3), and c(1, 4): (x, y)→(x - 3, y - 4) a ( type your answer... type your answer... ) b ( type your answer... type your answer... ) c ( type your answer... type your answer... )

Explanation:

Step1: Find coordinates of A'

For point A(0, 7), use the translation rule (x, y)→(x - 3, y - 4). Substitute x = 0 and y = 7.
$x'=0 - 3=-3$, $y'=7 - 4 = 3$

Step2: Find coordinates of B'

For point B(7, 3), substitute x = 7 and y = 3 into the translation rule.
$x'=7 - 3 = 4$, $y'=3 - 4=-1$

Step3: Find coordinates of C'

For point C(1, 4), substitute x = 1 and y = 4 into the translation rule.
$x'=1 - 3=-2$, $y'=4 - 4 = 0$

Answer:

A'(-3, 3)
B'(4, -1)
C'(-2, 0)