Question & Answer

What are the coordinates of the image of ΔABC after a dilation with center (0, 0) and a scale factor of

What are the coordinates of the image of ΔABC after a dilation with center (0, 0) and a scale factor of \( \frac{1}{2} \) ?
A'(____, ____), B'(____, ____), C'(____, ____)

1 Answer

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Quizzma TeamFebruary 22, 2025

To find the coordinates of the image of triangle ΔABC after a dilation from the center (0, 0) with a scale factor of ( frac{1}{2} ), you’ll need to multiply each coordinate of the original points A, B, and C by ( frac{1}{2} ).

Assuming the coordinates of points A, B, and C are:

– A(x₁, y₁)

– B(x₂, y₂)

– C(x₃, y₃)

The new coordinates after dilation will be:

– A'(( frac{1}{2}x₁ ), ( frac{1}{2}y₁ ))

– B'(( frac{1}{2}x₂ ), ( frac{1}{2}y₂ ))

– C'(( frac{1}{2}x₃ ), ( frac{1}{2}y₃ ))

Simply substitute the original coordinates into this formula to find the coordinates of the image points. If you provide the specific coordinates for A, B, and C, I can compute the exact values for you!