Question

A line segment formed by joining the points A(−4, 6) and B(−4, 2) is translated 8 units to the right. Which of the following options contain the correct coordinates of the translated line segment A'B'?

• A. A'(−4, −6) and B'(−4, −2)
• B. A'(4, 6) and B'(4, 2)
• C. A'(−4, 14) and B'(4, 10)
• D. A'(4, −6) and B'(4, −2)

Answer 1

The correct option is B A'(4, 6) and B'(4, 2)

Given: A line segment formed by joining the points A(−4, 6) and B(−4, 2) is translated 8 units to the right to get the line segment A'B'.
The figure shown below demonstrates the given translation.

From the figure, we can observe that the coordinates of point A' are (4, 6) and the coordinates of point B' are (4, 2).
$\to$ Option A is correct.