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 33 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 coordinates of each point by 3.
A′:
The coordinates of point A are (-2, -2).
To find A′, we multiply each coordinate by 3:
A′: (3*(-2), 3*(-2))
A′: (-6, -6)
B′:
The coordinates of point B are (-4, -3).
To find B′, we multiply each coordinate by 3:
B′: (3*(-4), 3*(-3))
B′: (-12, -9)
C′:
The coordinates of point C are (-2, -5).
To find C′, we multiply each coordinate by 3:
C′: (3*(-2), 3*(-5))
C′: (-6, -15)
So, 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 are:
A′: (-6, -6)
B′: (-12, -9)
C′: (-6, -15)