Question

Danielle wants to translate triangle XYZ so that vertex Y is moved from coordinates (-
4,2) to (0,-3). Which of the following mappings can be used to find the new
coordinates of X and Z?
A (x,y)-( * - 4, y + 5)
B (x,y)-(x+4, y - 5)
C(x,y)-(x - 4, y + 3)
D(x,y)-(x + 5, y - 4)

Answer 1

Answer:

We need to use the mapping $U'(x,y) = (x+4,y-5)$ to find the new coordinates of X and Y.

Step-by-step explanation:

Vectorially speaking, we must look for the defintion of the translation operation such that vertex Y becomes vertex Y', which is represented by:

$T(x,y) = Y'(x,y) - Y(x,y)$ (1)

Where $T(x,y)$ is the translation vector.

If we know that $Y(x,y) = (-4,2)$ and $Y'(x,y) = (0,-3)$, then the translation vector is:

$T(x,y) = (0,-3)-(-4,2)$

$T(x,y) = (4, -5)$

If $U(x,y) = (x,y)$, $T(x,y) = (4, -5)$ and $U'(x,y)$ is the translated vector, then we obtain the following definition:

$U'(x,y) = U(x,y) +T(x,y)$ (2)

$U'(x,y) = (x,y) + (4,-5)$

$U'(x,y) = (x+4,y-5)$

The correct answer is B.

Answer 2

Answer:

B is the answer

Step-by-step explanation: