Use the images to answer the question.

Question

A rectangle is labeled upper A upper B upper C upper D. The area inside of the rectangle is shaded, and each of the vertices is labeled.

If rectangle ABDC is translated horizontally −1 and vertically +3, which of the following correctly depicts rectangle A′B′D′C′?

(1 point)
Responses

A rectangle is labeled upper A prime upper B prime upper D prime upper C prime. The area inside of the rectangle is shaded, and each of the vertices is labeled.
Image with alt text: A rectangle is labeled upper A prime upper B prime upper D prime upper C prime. The area inside of the rectangle is shaded, and each of the vertices is labeled.

A rectangle is labeled upper A prime upper B prime upper D prime upper C prime. The area inside of the rectangle is shaded, and each of the vertices is marked with coordinates.
Image with alt text: A rectangle is labeled upper A prime upper B prime upper D prime upper C prime. The area inside of the rectangle is shaded, and each of the vertices is marked with coordinates.

A rectangle is formed by connecting four data points.
Image with alt text: A rectangle is formed by connecting four data points.

A quadrilateral is labeled upper A prime upper B prime upper D prime upper C prime. Each of the four corners of the shape are labeled with the coordinates.
Image with alt text: A quadrilateral is labeled upper A prime upper B prime upper D prime upper C prime. Each of the four corners of the shape are labeled with the coordinates.
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Answer 1

To determine the correct depiction of rectangle A'B'D'C' after translating rectangle ABDC horizontally -1 and vertically +3, we need to apply the translation to each vertex of the rectangle.

Given:

• Translating horizontally -1 means subtracting 1 from the x-coordinates of each vertex.
• Translating vertically +3 means adding 3 to the y-coordinates of each vertex.

The new coordinates for each vertex will be as follows:

• A' = (Ax - 1, Ay + 3)
• B' = (Bx - 1, By + 3)
• C' = (Cx - 1, Cy + 3)
• D' = (Dx - 1, Dy + 3)

Once we apply these transformations, we can compare the resulting rectangle to the given options to find the correct depiction of rectangle A'B'D'C'.

Without the images, I can't specify which one correctly represents rectangle A'B'D'C', but you should look for a rectangle that is shifted left (due to the -1 horizontal translation) and upward (due to the +3 vertical translation) in relation to the original rectangle ABDC.

You would want to choose the option that accurately reflects this transformation.