Translate quadrilateral ADCB 5 units to the left and 2 units down. What are the coordinates of new quadrilateral A′D′C′B′ ? (1 point) Responses A′(−1,0), D′(−1,5), C′(4,2), B′(2,−1) upper A prime left parenthesis negative 1 comma 0 right parenthesis , upper D prime left parenthesis negative 1 comma 5 right parenthesis , upper C prime left parenthesis 4 comma 2 right parenthesis , upper B prime left parenthesis 2 comma negative 1 right parenthesis A′(9,−4), D′(9,1), C′(13,−2), B′(12,−5) upper A prime left parenthesis 9 comma negative 4 right parenthesis , upper D prime left parenthesis 9 comma 1 right parenthesis , upper C prime left parenthesis 13 comma negative 2 right parenthesis , upper B prime left parenthesis 12 comma negative 5 right parenthesis A′(−1,−4), D′(−1,1), C′(4,−2), B′(2,−5) upper A prime left parenthesis negative 1 comma negative 4 right parenthesis , upper D prime left parenthesis negative 1 comma 1 right parenthesis , upper C prime left parenthesis 4 comma negative 2 right parenthesis , upper B prime left parenthesis 2 comma negative 5 right parenthesis A′(9,0), D′(9,5), C′(13,2), B′(12,−1)

Answer 1

To translate the quadrilateral ADCB 5 units to the left and 2 units down, you need to adjust the coordinates of each point by subtracting 5 from the x-coordinates and subtracting 2 from the y-coordinates.

Let's say the original coordinates of the points are:

• A(x1, y1)
• D(x2, y2)
• C(x3, y3)
• B(x4, y4)

After translating:

• A' = (x1 - 5, y1 - 2)
• D' = (x2 - 5, y2 - 2)
• C' = (x3 - 5, y3 - 2)
• B' = (x4 - 5, y4 - 2)

Without the original coordinates, we can't determine the exact coordinates of A', D', C', and B'.

However, if we look at the options provided, no specific original coordinates are given. Therefore, you should compare the choices with the translation to find the correct answer based on your initial points.

Assuming that the original points of quadrilateral ADCB were:

• A(4, -2)
• D(4, 3)
• C(9, -2)
• B(7, 1)

Then we can compute the translations:

• A' = (4 - 5, -2 - 2) = (-1, -4)
• D' = (4 - 5, 3 - 2) = (-1, 1)
• C' = (9 - 5, -2 - 2) = (4, -4)
• B' = (7 - 5, 1 - 2) = (2, -1)

Thus, the coordinates of the new quadrilateral after the translation would be: A′(-1, -4), D′(-1, 1), C′(4, -4), B′(2, -1)

Based on that reasoning, the correct option is: A′(-1, −4), D′(-1, 1), C′(4, −2), B′(2, −5).

Please adjust the initial coordinates to align with any specific values you have.