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I need help I forgot how to do this

I need help I forgot how to do this-example-1

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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)

User AntonioCS
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