Rectangle J′K′L′M′ shown on the grid is the image of rectangle JKLM after transformation. The same transformation will be applied on trapezoid STUV.
Rectangle JKLM is drawn on the grid with vertices J at negative 6, 2. K is at negative 3, 2. L is at negative 3, 4. M is at negative 6, 4. Rectangle J prime K prime L prime M prime is drawn with vertices J prime is at 1, 7. K prime is at 4, 7. L prime is at 4, 9. M prime is at 1, 9. Trapezoid STUV is drawn with vertices S is at 3, negative 6. T is at 6, negative 6. U is at 6, negative 3. V is at 2, negative 3.
What will be the location of T′ in the image trapezoid S′T′U′V′?
(10, −1)
(10, 1)
(13, 1)
(13, −1)
To find the location of T′ in the image trapezoid S′T′U′V′, we need to apply the same transformation that was used to transform rectangle JKLM to rectangle J′K′L′M′.
Since the transformation moved each vertex of the rectangle by adding 7 to the x-coordinate and 5 to the y-coordinate, we can apply the same transformation to find the new coordinates of T′:
T′ = (6 + 7, -6 + 5)
T′ = (13, -1)
Therefore, the location of T′ in the image trapezoid S′T′U′V′ is (13, -1).
Therefore, the correct answer is:
(13, -1)