Question
Translate quadrilateral ADCB 5 units to the left and 2 units down. What are the coordinates of new quadrilateral A′D′C′B′?
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GPT-4o mini
To translate the quadrilateral ADCB 5 units to the left and 2 units down, you need to subtract 5 from the x-coordinates and 2 from the y-coordinates of each vertex of the quadrilateral.
Let’s denote the original coordinates of the vertices as follows:
- A (x₁, y₁)
- D (x₂, y₂)
- C (x₃, y₃)
- B (x₄, y₄)
After the translation, the new coordinates for each vertex will be:
- A′ (x₁ - 5, y₁ - 2)
- D′ (x₂ - 5, y₂ - 2)
- C′ (x₃ - 5, y₃ - 2)
- B′ (x₄ - 5, y₄ - 2)
If you provide the original coordinates of points A, D, C, and B, I can give you the exact coordinates of A′, D′, C′, and B′ after the translation.
Let’s denote the original coordinates of the vertices as follows:
- A (x₁, y₁)
- D (x₂, y₂)
- C (x₃, y₃)
- B (x₄, y₄)
After the translation, the new coordinates for each vertex will be:
- A′ (x₁ - 5, y₁ - 2)
- D′ (x₂ - 5, y₂ - 2)
- C′ (x₃ - 5, y₃ - 2)
- B′ (x₄ - 5, y₄ - 2)
If you provide the original coordinates of points A, D, C, and B, I can give you the exact coordinates of A′, D′, C′, and B′ after the translation.
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