Question

The proposed location for a new oil platform is represented by a rectangle with vertices A(1, -3), B(1,4), C(4,4), and D(4. – 3). An inspector recommends moving the oil platform 4 units right and 2 units down. What are the coordinates of the image?

a. A(5, -5)
b. B(5,2)
c. C(8,2)
d. D(8, -5)

Answer 1

The new coordinates for the oil platform after moving 4 units to the right and 2 units down are A(5, -5), B(5, 2), C(8, 2), and D(8, -5).

Step-by-step explanation:

The coordinates of the image after moving the oil platform 4 units right (horizontally to the right side of the coordinate system) and 2 units down (vertically downward in the coordinate system) are determined by adding 4 to the x-coordinate and subtracting 2 from the y-coordinate of each vertex of the rectangle.

• A'(1+4, -3-2) = A'(5, -5)
• B'(1+4, 4-2) = B'(5, 2)
• C'(4+4, 4-2) = C'(8, 2)
• D'(4+4, -3-2) = D'(8, -5)

Therefore, the new coordinates for the oil platform are A(5, -5), B(5, 2), C(8, 2), and D(8, -5).