Question
LM is translated 2 units left and 5 units down to L'M'. Which graph shows this translation?
A.
An image displaying a line LM with vertices L of -7 comma -2 and M of 0 comma 5 and L'M' with vertices L' of -2 comma 0 and M' of 5 comma 7.
B.
An image displaying a line LM with vertices L of -7 comma -2 and M of 0 comma 5 and L'M' with vertices L' of -9 comma -8 and M' of -2 comma 0.
C.
An image displaying a line LM with vertices L of -7 comma -2 and M of 0 comma 5 and L'M' with vertices L' of -5 comma 3 and M' of 2 comma 10.
D.
An image displaying a line LM with vertices L of -7 comma -2 and M of 0 comma 5 and L'M' with vertices L' of -5 comma 3 and M' of 2 comma 10.
A.
An image displaying a line LM with vertices L of -7 comma -2 and M of 0 comma 5 and L'M' with vertices L' of -2 comma 0 and M' of 5 comma 7.
B.
An image displaying a line LM with vertices L of -7 comma -2 and M of 0 comma 5 and L'M' with vertices L' of -9 comma -8 and M' of -2 comma 0.
C.
An image displaying a line LM with vertices L of -7 comma -2 and M of 0 comma 5 and L'M' with vertices L' of -5 comma 3 and M' of 2 comma 10.
D.
An image displaying a line LM with vertices L of -7 comma -2 and M of 0 comma 5 and L'M' with vertices L' of -5 comma 3 and M' of 2 comma 10.
Answers
GPT-4o mini
To determine which graph shows the correct translation of points L and M, we first need to apply the given translation of 2 units left and 5 units down to the original coordinates of L and M.
Given:
- L (original): (-7, -2)
- M (original): (0, 5)
**Translate L:**
1. Move 2 units left: -7 - 2 = -9
2. Move 5 units down: -2 - 5 = -7
So, L' will be (-9, -7).
**Translate M:**
1. Move 2 units left: 0 - 2 = -2
2. Move 5 units down: 5 - 5 = 0
So, M' will be (-2, 0).
Thus, the new points after the translation are:
- L' = (-9, -7)
- M' = (-2, 0)
Now, let's compare with the options provided:
- **Option A:** L' = (-2, 0) and M' = (5, 7) (Incorrect)
- **Option B:** L' = (-9, -7) and M' = (-2, 0) (Correct)
- **Option C:** L' = (-5, 3) and M' = (2, 10) (Incorrect)
- **Option D:** L' = (-5, 3) and M' = (2, 10) (Incorrect)
Therefore, the correct answer is **B:** An image displaying a line LM with vertices L of (-7, -2) and M of (0, 5) and L'M' with vertices L' of (-9, -7) and M' of (-2, 0).
Given:
- L (original): (-7, -2)
- M (original): (0, 5)
**Translate L:**
1. Move 2 units left: -7 - 2 = -9
2. Move 5 units down: -2 - 5 = -7
So, L' will be (-9, -7).
**Translate M:**
1. Move 2 units left: 0 - 2 = -2
2. Move 5 units down: 5 - 5 = 0
So, M' will be (-2, 0).
Thus, the new points after the translation are:
- L' = (-9, -7)
- M' = (-2, 0)
Now, let's compare with the options provided:
- **Option A:** L' = (-2, 0) and M' = (5, 7) (Incorrect)
- **Option B:** L' = (-9, -7) and M' = (-2, 0) (Correct)
- **Option C:** L' = (-5, 3) and M' = (2, 10) (Incorrect)
- **Option D:** L' = (-5, 3) and M' = (2, 10) (Incorrect)
Therefore, the correct answer is **B:** An image displaying a line LM with vertices L of (-7, -2) and M of (0, 5) and L'M' with vertices L' of (-9, -7) and M' of (-2, 0).