Question

In the coordinate plane, the point X (3, -1) is translated to the point X'(2, 1). Under the same translation, the points Y (7, 3) and Z (6, -4) are translated to Y' and Z', respectively. What are the coordinates of Y' and Z'?

a) Y' (1, 5), Z' (0, -6)

b) Y' (5, 1), Z' (4, -10)

c) Y' (4, 2), Z' (3, -5)

d) Y' (2, 4), Z' (1, -8)

Answer 1

To find the coordinates of Y' and Z' under the given translation, we need to determine the change in x and y values for each point.

Step-by-step explanation:

To find the coordinates of Y' and Z' under the given translation, we need to determine the change in x and y values for each point.

For Y, the change in x is -5 (7 - 2) and the change in y is -2 (3 - 1). Therefore, the coordinates of Y' are (2, 1) + (-5, -2) = (-3, -1).

For Z, the change in x is -3 (6 - 3) and the change in y is -5 (-4 - (-1)). Therefore, the coordinates of Z' are (3, -4) + (-3, -5) = (0, -9).