Question

if segment ab has coordinates a(3, 2) and b(4, 5) and the segment glides 3 units down and 4 units to the left, then the coordinates for segment ab are
○ a(-4, -3), b(4, 5)
○ a(-1, -1), b(0, 2)
○ a(1, 1), b(0, -2)

Explanation:

Step1: Calculate the new x - coordinate

For a point \((x,y)\), moving 4 units to the left means subtracting 4 from the x - coordinate.
For point \(A(3,2)\): \(x = 3-4=-1\)
For point \(B(4,5)\): \(x = 4 - 4=0\)

Step2: Calculate the new y - coordinate

Moving 3 units down means subtracting 3 from the y - coordinate.
For point \(A(3,2)\): \(y=2 - 3=-1\)
For point \(B(4,5)\): \(y = 5-3=2\)

Answer:

\(A'(-1,-1), B'(0,2)\) (the second option)