Question

translate the triangle. then enter the new coordinat
a(2,1) a(5,?)
b()
c()
hint: calculate the y - value of a by adding 2 to the original y - value.
<3,2>

Explanation:

Step1: Find the y - coordinate of \(A'\)

The original y - coordinate of \(A\) is \(1\). According to the hint, add \(2\) to the original y - value. So \(1 + 2=3\).

Step2: Find the coordinates of \(B'\)

The translation vector is \(\langle3,2
angle\). For point \(B(-1,-3)\), add \(3\) to the x - coordinate and \(2\) to the y - coordinate.
The x - coordinate: \(-1 + 3=2\)
The y - coordinate: \(-3+2=-1\)

Step3: Find the coordinates of \(C'\)

For point \(C(3,-3)\), add \(3\) to the x - coordinate and \(2\) to the y - coordinate.
The x - coordinate: \(3 + 3=6\)
The y - coordinate: \(-3+2=-1\)

Answer:

\(A'(5,3)\), \(B'(2,-1)\), \(C'(6,-1)\)