Question

Given a triangle ABC at points A = ( - 1, - 4 ) B = ( 2, 6 ) C = ( 6, 2 ), and if the triangle is dilated with a scale factor of 4, find the new point C

Answer 1

Answer: C = (24,8)

Explanation:

The dilation is how far the point is relocated from its original location. A dilation x>1 or x<-1 means the point got relocated further from the origin. A dilation x<1 and x>-1 means the point got relocated closer to the origin. And a dilation of 1 or -1, mean the point is the same distance from the origin as before.

A dilation of means means all points will be further from the origin than they used to, making the triangle larger. This means we have to multiply the points by 4:

Point A (-1,4) to New Point A (-4,16)

Point B (2,6) to New Point B (8,24)

Point C (6,2) to New Point C (24,8)

A graph of old to new below:

Hope that helped a lot.

:)