Question

Ursula's triangle has vertices at F( -7, -8), G(-6, -3), and H (5,6). If she translates her triangle 6 units down and 4 units to the left, what are its new vertices?

A)F ( -11, -14), G (-10, -9), and H (1,0)
B)F (-3,-2), G (-2, 3), and H (9, 12)
C)F( -13, -12), G (-12, -7) and H (-1, 2)
D)F (-3, -14), G (-2, -9) and H (9, 0)

Answer 1

Ursula's triangle, after being translated 6 units down and 4 units to the left, will have new vertices at F'(-11, -14), G'(-10, -9), and H'(1, 0). This corresponds to option A.

Step-by-step explanation:

To find the new vertices after translating Ursula's triangle, we adjust each coordinate by the given translation. Translating a point 6 units down means subtracting 6 from the y-coordinate. Translating it 4 units to the left means subtracting 4 from the x-coordinate.

Original point F has coordinates (-7, -8). After translation, its new coordinates will be: F' = (-7 - 4, -8 - 6) = (-11, -14).

Original point G has coordinates (-6, -3). After translation, its new coordinates will be: G' = (-6 - 4, -3 - 6) = (-10, -9).

Original point H has coordinates (5, 6). After translation, its new coordinates will be: H' = (5 - 4, 6 - 6) = (1, 0).

Therefore, the new vertices of the translated triangle are F'(-11, -14), G'(-10, -9), and H'(1, 0), which corresponds to option A.