Question

Give the new coordinate, A', of point A(14, 6) if it is translated 10 units down and 5 units to the right.

A) (19, -4)
B) (4, -10)
C) (24, 16)
D) (4, 16)

Answer 1

To find the new coordinates for point A after translation, subtract 10 from the y-coordinate and add 5 to the x-coordinate. The new coordinates are (19, -4), matching answer choice A.

Step-by-step explanation:

The new coordinate, A', of point A(14, 6) after being translated 10 units down and 5 units to the right is calculated by subtracting 10 from the y-coordinate (to move it down) and adding 5 to the x-coordinate (to move it right). Thus, for point A(14, 6), the transformation would result in:

• x-coordinate: 14 + 5 = 19
• y-coordinate: 6 - 10 = -4

The new coordinates of point A' are (19, -4), which corresponds to answer choice A.