Question

write the coordinates of the vertices after a translation 7 units right.
a( , )
b( , )
c( , )

Explanation:

Step1: Identify original coordinates

Original vertices: $A(3, -4)$, $B(3, 6)$, $C(0, -4)$

Step2: Apply translation rule

For a translation 7 units right, add 7 to each $x$-coordinate:
New $x$-coordinate: $x' = x + 7$, $y$-coordinate stays the same.

• For $A$: $x' = 3 + 7 = 10$, $y' = -4$
• For $B$: $x' = 3 + 7 = 10$, $y' = 6$
• For $C$: $x' = 0 + 7 = 7$, $y' = -4$

Answer:

$A'(10, -4)$
$B'(10, 6)$
$C'(7, -4)$