Question

Use the image to answer the question.

A coordinate plane's x-axis ranges from negative 1 to 12 and its y-axis ranges from negative 5 to 6, both by 1-unit increments. Points upper A, upper B, upper C, and upper D are plotted forming a quadrilateral.

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′(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′(9,0)
, D′(9,5)
, C′(13,2)
, B′(12,−1)
upper A prime left parenthesis 9 comma 0 right parenthesis , upper D prime left parenthesis 9 comma 5 right parenthesis , upper C prime left parenthesis 13 comma 2 right parenthesis , upper B prime left parenthesis 12 comma negative 1 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′(−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

Answer 1

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

Let's denote the original coordinates of points A, D, C, and B as follows (assuming hypothetical values):
- A(x₁, y₁)
- D(x₂, y₂)
- C(x₃, y₃)
- B(x₄, y₄)

After translation, the new coordinates would be:
- A' = (x₁ - 5, y₁ - 2)
- D' = (x₂ - 5, y₂ - 2)
- C' = (x₃ - 5, y₃ - 2)
- B' = (x₄ - 5, y₄ - 2)

Since we don't have the original coordinates of A, D, C, and B from the question, we cannot perform the calculations without that information. However, if you provide the original coordinates for points A, D, C, and B, I can calculate the new coordinates for A', D', C', and B' for you.

Based on the possible response options you provided, one of these seems to fit the translation if the original coordinates are known. If you have the original coordinates or any reference to them, please share, and I can help further!