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Triangle ABC has vertices point A(2,1), point B(4,3), and point C(−2,5). Find the coordinates of A′, B′, and C′ after a dilatio...Asked by cutie_swimmer58
A Triangle ABC has vertices point A(−2,−2) , point B(−4,−3) , and point C(−2,−5) . Find the coordinates of A′ , B′ , and C′ after a dilation with a scale factor of 3
and a center point of dilation at the origin.(2 points)
and a center point of dilation at the origin.(2 points)
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GPT 3.5
To find the coordinates of A', B', and C' after a dilation with a scale factor of 3 and a center point of dilation at the origin, we need to multiply each coordinate by the scale factor.
The coordinates of A' will be (3 * -2, 3 * -2) = (-6, -6).
The coordinates of B' will be (3 * -4, 3 * -3) = (-12, -9).
The coordinates of C' will be (3 * -2, 3 * -5) = (-6, -15).
Therefore, the coordinates of A', B', and C' after the dilation are A'(-6, -6), B'(-12, -9), and C'(-6, -15).
The coordinates of A' will be (3 * -2, 3 * -2) = (-6, -6).
The coordinates of B' will be (3 * -4, 3 * -3) = (-12, -9).
The coordinates of C' will be (3 * -2, 3 * -5) = (-6, -15).
Therefore, the coordinates of A', B', and C' after the dilation are A'(-6, -6), B'(-12, -9), and C'(-6, -15).
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