Transformations and Similarity Unit Test
3 of 153 of 15 Items
Question
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)
A′= (
)
B′= (
)
C′= (
)
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 the x and y coordinates of each point by the scale factor.
For point A (-2, -2):
A' = (3*(-2), 3*(-2))
A' = (-6, -6)
For point B (-4, -3):
B' = (3*(-4), 3*(-3))
B' = (-12, -9)
For point C (-2, -5):
C' = (3*(-2), 3*(-5))
C' = (-6, -15)
Therefore, the coordinates of A', B', and C' after the dilation are:
A' = (-6, -6)
B' = (-12, -9)
C' = (-6, -15)