Question

1. A(-6, 3), B(-3,9), C(3,6) G(-2, 1), H(-1,3), J(1, 2) A- Each coordinate of AABC can be multiplied by 1 3 to give the corresponding coordinate of A The transformation of A ABC to AGHJ is a with a scale factor of Therefore, the triangles are

Answer 1

Given:

A(-6, 3), B(-3,9), C(3,6)

G(-2, 1), H(-1,3), J(1, 2)

The transformation that occured from △ABC to △GHJ is a dilation.

A dilation is a transformation that produces a figure that has the same shape but different size with the original figure.

To find the scale factor of the dilation divide the second coordinate by the first corresponding coordinate.

We have:

`(G)/(A)=((-2)/(-6),(1)/(3))\Longrightarrow((1)/(3),(1)/(3))`

Therefore, the scale factor of the dilation is ⅓.

To find the corresponding coordinates of the transformed figure, multiply the coordinates of the original figure by the scale factor.

ANSWER:

Each coordinate of :△ABC can be multiplied by ⅓ to give the corresponding coordinate of △GHJ. The transformation of △ABC to △GHJ is a dilation with a scale factor of ⅓.

Therefore the triangles are similar.