Question

Find the coordinates of the vertices of each figure after the given transformation.

translation: 2 units right and 8 units up C(1, −3)

Question 3 options:

C'(3, 5)


C'(3, -5)


C'(4,1)


C'(0, 1)

Answer 1

To apply the translation of 2 units to the right and 8 units up to the point C(1, -3), we follow these steps:

1. **Translation horizontally (right)**: Add 2 to the x-coordinate.
- New x-coordinate: \(1 + 2 = 3\)

2. **Translation vertically (up)**: Add 8 to the y-coordinate.
- New y-coordinate: \(-3 + 8 = 5\)

Thus, after the transformation, the new coordinates for point C will be \(C'(3, 5)\).

Therefore, the correct answer is:

**C'(3, 5)**.