What kind of translation has been made to triangle ABC ? (1 point) Responses Triangle ABC has been translated 3 units to the left and 7 units up. Triangle upper A upper B upper C has been translated 3 units to the left and 7 units up. Triangle ABC has been translated 2 units to the right and 7 units down. Triangle upper A upper B upper C has been translated 2 units to the right and 7 units down. Triangle ABC has been translated 3 units to the right and 7 units down. Triangle upper A upper B upper C has been translated 3 units to the right and 7 units down. Triangle ABC has been translated 3 units to the right and 6 units down.

Answer 1

To determine the correct translation made to triangle ABC, we need to look for the translation that accurately describes the movement of the triangle.

1. 3 units to the left and 7 units up: This means the x-coordinates of the triangle's vertices decrease by 3, and the y-coordinates increase by 7.
2. 3 units to the left and 7 units down: This means the x-coordinates decrease by 3, and the y-coordinates decrease by 7.
3. 2 units to the right and 7 units up: This means the x-coordinates increase by 2, and the y-coordinates increase by 7.
4. 2 units to the right and 7 units down: This means the x-coordinates increase by 2, and the y-coordinates decrease by 7.
5. 3 units to the right and 7 units down: This means the x-coordinates increase by 3, and the y-coordinates decrease by 7.
6. 3 units to the right and 6 units down: This means the x-coordinates increase by 3, and the y-coordinates decrease by 6.

Without specific coordinates for triangle ABC before the translation or the position after translation, it's impossible to determine the correct translation just based on this description. If you know the coordinates of triangle ABC before and after the translation, those can be used to determine the translation.

If you have that information, please provide it, and I can help identify the translation.

Answer 2

A is, (-7,-3) B is, (-5,-1) C is, (-4,-5)

Answer 3

To determine the translation of triangle ABC with vertices A(-7, -3), B(-5, -1), and C(-4, -5), we first need to find the new coordinates of the triangle after the translation.

However, the new coordinates of the triangle after the translation were not given in your initial message. If you have the new coordinates for triangle A'B'C', please provide them so we can assess how triangle ABC was translated.

If you want to determine the translation based on some new coordinates, please provide those coordinates, and I can help you calculate the translation.

Answer 4

Those are the coordinates

Answer 5

Thank you for providing the coordinates for triangle ABC:

• \( A(-7, -3) \)
• \( B(-5, -1) \)
• \( C(-4, -5) \)

To describe the kind of translation, I need new coordinates for triangle A'B'C' (after translation). Since it seems like you want to analyze the translation given in previous options, let's check each option against the original coordinates to find compatible translations.

Here are the translations from the previous options:

1. 3 units to the left and 7 units up:

   • New A: \((-7 - 3, -3 + 7) = (-10, 4)\)
   • New B: \((-5 - 3, -1 + 7) = (-8, 6)\)
   • New C: \((-4 - 3, -5 + 7) = (-7, 2)\)

2. 3 units to the left and 7 units down:

   • New A: \((-7 - 3, -3 - 7) = (-10, -10)\)
   • New B: \((-5 - 3, -1 - 7) = (-8, -8)\)
   • New C: \((-4 - 3, -5 - 7) = (-7, -12)\)

3. 2 units to the right and 7 units up:

   • New A: \((-7 + 2, -3 + 7) = (-5, 4)\)
   • New B: \((-5 + 2, -1 + 7) = (-3, 6)\)
   • New C: \((-4 + 2, -5 + 7) = (-2, 2)\)

4. 2 units to the right and 7 units down:

   • New A: \((-7 + 2, -3 - 7) = (-5, -10)\)
   • New B: \((-5 + 2, -1 - 7) = (-3, -8)\)
   • New C: \((-4 + 2, -5 - 7) = (-2, -12)\)

5. 3 units to the right and 7 units down:

   • New A: \((-7 + 3, -3 - 7) = (-4, -10)\)
   • New B: \((-5 + 3, -1 - 7) = (-2, -8)\)
   • New C: \((-4 + 3, -5 - 7) = (-1, -12)\)

6. 3 units to the right and 6 units down:

   • New A: \((-7 + 3, -3 - 6) = (-4, -9)\)
   • New B: \((-5 + 3, -1 - 6) = (-2, -7)\)
   • New C: \((-4 + 3, -5 - 6) = (-1, -11)\)

In summary, you would need the new coordinates to match any of these transformations. If you refer to any of these options, please specify the new coordinates of the triangle after the translation, and we can clarify the correct translation based on the provided choices.

Answer 6

Wait, I mixed up the coordinates. The coordinates are, A is, (-10,4) B is, (-8,6) C is, (-7,2). The new coordinates are, A' is, (-7,-3) B' is, (-5,-1) C' is, (-4,-5)

Answer 7

Thank you for clarifying the coordinates.

To determine the translation from the original triangle \( A(-10, 4), B(-8, 6), C(-7, 2) \) to the new triangle \( A'(-7, -3), B'(-5, -1), C'(-4, -5) \), we can find the change in the coordinates for one of the points and apply it to all points.

Step 1: Find the translation vector

Let's take point \( A \) and \( A' \):

• Original coordinates for \( A \): \((-10, 4)\)
• New coordinates for \( A' \): \((-7, -3)\)

Calculate the translation:

• Change in \( x \): \[ -7 - (-10) = -7 + 10 = 3 \quad (\text{2 units to the right}) \]

• Change in \( y \): \[ -3 - 4 = -7 \quad (\text{7 units down}) \]

Thus, the translation vector is \( (3, -7) \).

Step 2: Verify with other points

Now let’s check the translations for points \( B \) and \( C \):

For point \( B \) from \( B(-8, 6) \) to \( B'(-5, -1) \):

• Change in \( x \): \[ -5 - (-8) = -5 + 8 = 3 \quad (\text{2 units to the right}) \]
• Change in \( y \): \[ -1 - 6 = -7 \quad (\text{7 units down}) \]

For point \( C \) from \( C(-7, 2) \) to \( C'(-4, -5) \):

• Change in \( x \): \[ -4 - (-7) = -4 + 7 = 3 \quad (\text{2 units to the right}) \]
• Change in \( y \): \[ -5 - 2 = -7 \quad (\text{7 units down}) \]

Conclusion

The translation of triangle ABC to triangle A'B'C' is indeed:

Triangle ABC has been translated 3 units to the right and 7 units down.

This correlates with the third option from your previous message.