Question

ΔABC has coordinates of A (–6, –3), B (7, –7), and C (0, 3). Find the coordinates of its image after a dilation centered at the origin with a scale factor of 1.5.

Answer 1

Dilation refers to a non rigid motion where a figure is transform and its image has the same form but a different size measure.Dilation is define by the rule (x,y)-- (kx, ky) where k represents the scale factor.


On this exercise is given that a triangle with vertices A(-6,-3), B(7,-7), and C(0,3) was dilated by a scale factor of 1.5, and it is asked to find the vertices of the image of the triangle after the dilation occurred.

Pre-image                              Image
A(-6,-3) --- (-6*1.5,-3*1.5) ---  A'(-9,-4.5)
B(7,-7) ---- (7*1.5,-7*1.5) ----  B'(10.5,-10.5)
C(0,3) ----- (0*1.5,3*1.5) -----  C'(0,4.5)

The coordinates of the triangle's image after a dilation with a scale factor of 1.5 are represented by the points A'(-9,-4.5), B'(10.5,-10.5), and C'(0,4.5).