Answer:
The image of Triangle ABC has coordinates as
A'(-24,16)
B'(16,8)
C'(-8,-24)
Explanation:
The figure shows that Points A(-3,2), B(2,1) and C(-1,-3) forms the Triangle ABC
It is asked to scale the triangle with a scale factor of 8 and centered at origin
For point A(-3,2) :
The distance of A(-3,2) from the center P(0,0) in the x-direction is 3 unit and y-direction is 2 unit
After scaling by a factor of 8,
The distance of A(-3,2) from the center P(0,0) is also multiplied by 8
New distance in the x-direction is 24 units and 16 units in the y-direction from center P(0,0)
Therefore, New location A' is (-24,16)
For point B(2,1)
The distance of B(2,1) from centre P(0,0) in the x-direction is 2 units and y-direction is 1 unit
After scaling by a factor of 8,
Distance of B(2,1) from center P(0,0) is also multiply by 8
New distance in x-direction is 16 units and 8 units in y-direction from center P(0,0)
Therefore, New location B' is (16,8)
For point C(-1,-3)
Distance of C(-1,-3) from center P(0,0) in x-direction is 1 units and y-direction is 3 units
After scaling by a factor of 8,
The distance of C(-1,-3) from center P(0,0) is also multiplied by 8
New distance in the x-direction is 8 units and 24 units in the y-direction from center P(0,0)
Therefore, New location C' is (-8,-24)
Therefore, The image of Triangle ABC has coordinates as
A'(-24,16)
B'(16,8)
C'(-8,-24)