Question

triangle pqr id drawn with the coordinates p(0,2) q(0,5) r(1,4) determine the translation direction and number of units if r' (-7,4)

Answer 1

To determine the translation direction and number of units for point \( R(1, 4) \) to \( R'(-7, 4) \), we can follow these steps:

1. **Identify the original coordinates of point R**:
- \( R(1, 4) \)

2. **Identify the coordinates of the translated point R'**:
- \( R'(-7, 4) \)

3. **Calculate the translation vector**:
- The translation vector can be found by subtracting the coordinates of \( R \) from \( R' \):
\[
\text{Translation vector} = R' - R = (-7, 4) - (1, 4)
\]

This gives us:
\[
\text{Translation vector} = (-7 - 1, 4 - 4) = (-8, 0)
\]

4. **Interpret the results**:
- The translation vector \( (-8, 0) \) means that the point \( R \) has moved 8 units to the left (in the negative x-direction) and 0 units in the y-direction.

5. **Conclusion**:
- The translation direction is 8 units to the left, and there is no vertical movement.