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 3and a center point of dilation at the origin.
A' = (___)
B' = (___)
C' = (___)
To find the coordinates of the new points after a dilation with a scale factor of 3 and a center point of dilation at the origin, we need to multiply each coordinate of the original points by the scale factor.
For point A(-2, -2):
A' = (3*-2, 3*-2) = (-6, -6)
For point B(-4, -3):
B' = (3*-4, 3*-3) = (-12, -9)
For point C(-2, -5):
C' = (3*-2, 3*-5) = (-6, -15)
Therefore, the coordinates of the new points after the dilation are:
A' = (-6, -6)
B' = (-12, -9)
C' = (-6, -15)