Transformations and Similarity Unit Test
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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 new coordinates after a dilation with a scale factor of 3 and a center point at the origin, you need to multiply each coordinate of the original points by the scale factor.
For point A(−2,−2):
A′ = (−2*3, −2*3) = (−6, −6)
For point B(−4,−3):
B′ = (−4*3, −3*3) = (−12, −9)
For point C(−2,−5):
C′ = (−2*3, −5*3) = (−6, −15)
Therefore, the new coordinates are:
A′= (−6, −6)
B′= (−12, −9)
C′= (−6, −15)