Question
Translate triangle ABC (coordinates; A(4, 5), B(2, 1), C(7, 3)) by 3 units to the left and 5 units down. Which of the following are the coordinates of new triangle A′B′C′ ?
Answers
GPT-4o mini
To translate triangle ABC by 3 units to the left and 5 units down, you need to adjust the coordinates of each vertex.
For translation:
- Moving 3 units to the left means subtracting 3 from the x-coordinate.
- Moving 5 units down means subtracting 5 from the y-coordinate.
Let's apply this transformation to each vertex:
1. For point A(4, 5):
- A' = (4 - 3, 5 - 5) = (1, 0)
2. For point B(2, 1):
- B' = (2 - 3, 1 - 5) = (-1, -4)
3. For point C(7, 3):
- C' = (7 - 3, 3 - 5) = (4, -2)
Thus, the new coordinates of triangle A′B′C′ are:
- A′(1, 0)
- B′(-1, -4)
- C′(4, -2)
For translation:
- Moving 3 units to the left means subtracting 3 from the x-coordinate.
- Moving 5 units down means subtracting 5 from the y-coordinate.
Let's apply this transformation to each vertex:
1. For point A(4, 5):
- A' = (4 - 3, 5 - 5) = (1, 0)
2. For point B(2, 1):
- B' = (2 - 3, 1 - 5) = (-1, -4)
3. For point C(7, 3):
- C' = (7 - 3, 3 - 5) = (4, -2)
Thus, the new coordinates of triangle A′B′C′ are:
- A′(1, 0)
- B′(-1, -4)
- C′(4, -2)