Question

what will the coordinates of triangle rst be after it is translated 4 units down and 3 units left?
○ r(-7,-2), s(8,-1), t(-1,-1)
○ r(-1,6), s(8,7), t(5,-1)
○ r(-1,-2), s(8,-1), t(5,-9)
○ r(-7,-2), s(2,-1), t(-1,-9)

Explanation:

Step1: Identify original coordinates

From the graph, \(R(- 4,2)\), \(S(5,3)\), \(T(4,-5)\)

Step2: Apply left - translation rule

To translate 3 units left, subtract 3 from the x - coordinates.
\(R_x=-4 - 3=-7\), \(S_x=5 - 3 = 2\), \(T_x=4 - 3=1\)

Step3: Apply down - translation rule

To translate 4 units down, subtract 4 from the y - coordinates.
\(R_y=2-4=-2\), \(S_y=3 - 4=-1\), \(T_y=-5 - 4=-9\)
The new coordinates are \(R(-7,-2)\), \(S(2,-1)\), \(T(1,-9)\)

Answer:

D. \(R(-7,-2),S(2,-1),T(1,-9)\) (assuming the last option is the one with these coordinates as the options are not clearly labeled with A, B, C, D in the text but the last option has the correct values based on our calculations)