What are the coordinates of the vertices of the rose garden after a translation two yards east and four yards south? Use the terms A, B, C, and D'.

Because the rose garden is translated 2 yards east (2 units in the positive x-direction) and 4 yards south (4 yards in the negative y-direction), add 2 units to the x-coordinates and -4 units to the y-coordinates of all the original vertices.

A(3, 6) will become A'[(3 + 2), (6 + (-4))], or A′(5, 2).

B(3, 3) will become B'[(3 + 2), (3 + (-4))], or B′(5, -1).

C(4, 3) will become C'[(4 + 2), (3 + (-4))], or C′(6, -1).

D(4, 6) will become D'[(4 + 2), (6 + (-4))], or D′(6, 2)

Step-by-step explanation:

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keshavgandhi04 keshavgandhi04 · Answer 2 · 2022-01-01T07:59:21+01:00

The coordinates of the vertices of the rose garden after a translation are A'(5,2), B'(5,-1), C'(6,-1), and D'(6,2) and this can be determined by using the rules of transformation.

Given :

Coordinates -- A(3,6), B(3,3), C(4,3), and D(4,6)

The following steps can be used in order to determine the coordinates of the vertices after the given transformation:

Step 1 - The rules of transformation can be used in order to determine the coordinates of the vertices after the given transformation.

Step 2 - According to the given data, the coordinates translate two yards east and four yards south.

Step 3 - So, the final coordinates of the rose garden becomes:

A'(5,2), B'(5,-1), C'(6,-1), and D'(6,2)

The coordinates of the vertices of the rose garden after a translation are A'(5,2), B'(5,-1), C'(6,-1), and D'(6,2).

For more information, refer to the link given below:

https://brainly.com/question/11709244