Question

A triangle ABC has coordinates for A (-4, 1).
Triangle A´B´C´ has coordinates for A´ (0-3).
What is the translation?
How many units right or left and how many units up or down?


Choose the best answer from the options below:
A 4 right, 4 down
B 4 left, 4 up
C 4 left, 4 down
D 4 right, 4 up

Answer 1

To find the translation from triangle ABC to triangle A'B'C', we can calculate the difference in coordinates between point A and point A'.

Given:
- Coordinates for A: (-4, 1)
- Coordinates for A': (0, -3)

To find the translation, we perform the following calculations:

1. **Calculate the change in the x-coordinate**:
\[
\Delta x = x' - x = 0 - (-4) = 0 + 4 = 4
\]
This means the translation is **4 units to the right**.

2. **Calculate the change in the y-coordinate**:
\[
\Delta y = y' - y = -3 - 1 = -4
\]
This means the translation is **4 units down**.

Thus, the translation from A to A' is **4 units right and 4 units down**.

The best answer from the options is:
**A**: 4 right, 4 down.