After applying a translation vector to rectangle ABDC, the coordinates of

Question

A' are (-6,8). What are the coordinates of B'?
(1 point)
A-5,4 b-1,4

Answer 1

To determine the coordinates of \( B' \) after the translation of rectangle \( ABDC \), we need to know the coordinates of points \( A \) and \( B \), as well as the translation vector applied.

1. Assume Initial Coordinates: Let's assume the coordinates of the points are:

   • \( A(x_A, y_A) \)
   • \( B(x_B, y_B) \)

2. Translation Definition: The translation can be defined by a vector \( (t_x, t_y) \), where:

   • \( A' = A + (t_x, t_y) \)
   • \( B' = B + (t_x, t_y) \)

3. Given Information: You mentioned the coordinates of \( A' \) are \( (-6, 8) \).

4. Finding Translation Vector: If we denote the original coordinates of \( A \) as \( (x_A, y_A) \), we can find the translation: \[ t_x = -6 - x_A \] \[ t_y = 8 - y_A \]

5. Finding Coordinates of \( B' \): Ideally, if we know the initial coordinates of \( B \), we can find \( B' \): \[ B' = (x_B + t_x, y_B + t_y) \]

However, we are not given the original coordinates of \( A \) and \( B \) or their relationship. If we assume that point \( B \) is located in a predictable manner relative to \( A \), it would simplify our calculation.

6. Determine Coordinates of B: To proceed with actual computations, typically, you would need the original coordinates of \( B \), or some relationship, which is not provided here.

In the final context of given points (A), the B coordinates are referred to \( (-5, 4) \) or \( (-1, 4) \).

I suggest either:

• If we made a prescription with \( (t_x, t_y) = (x_a + 6 , y_a - 8) \) for running vector, then compare which works respectively if rectangle ABCD has A and B in same x geometry.
• It is important to know exactly if applying alternatives.

Without additional information about coordinates or relationships, we cannot definitively say which of the answer options is correct. Please check if you can provide the assumed coordinates \( (x_A,y_A) \) for further calculations from first assumptions.

Answer 2

Theres no other cordanates

Answer 3

Given that there are no other coordinates provided and only the point \( A' \) after the translation is known to be \( A' = (-6, 8) \), we can proceed with the assumption that point \( A \) is a translation of point \( B \) to its new position \( B' \).

Since we don't know the original points \( A \) and \( B \), we can try to determine \( B' \) based on the options provided and the assumption that points \( A \) and \( B \) are likely adjacent points on rectangle \( ABDC \).

From the two potential coordinates for \( B' \) given in your question:

• A) \( B' = (-5, 4) \)
• B) \( B' = (-1, 4) \)

We can examine how they relate to point \( A' \) under the assumption that rectangle sides are parallel, and thus their translations maintain the same configuration.

Since rectangle sides will differ in their y-coordinates while keeping x-coordinates in a same section:

• If \( A' \) is \((-6, 8)\), and we consider a downward translation for preservation of geometry:

If we check the possible options:

1. For \( B' = (-5, 4) \): The y-coordinate of \( B' \) is \( 4 \), which is \( 8 \) from \( A' \) indicating a downward vertical movement.

2. For \( B' = (-1, 4) \): The x-coordinate has shifted more than \( B'\) implying it does not preserve the rectangle shape.

Thus, following the assumption taken if we keep a consistency in geometry configuration:

The coordinates of \( B' \) should be \( (-5, 4) \) because it keeps the relative configuration and translation shape alive.

So, the answer is:
B' = (-5, 4).