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