Question

Triangle ABC has the following coordinates: A(4 , 5), B(5 , 3), and C(2 , 3). Part A: If triangle ABC is dilated by a scale factor of 3, what are the coordinates for the new triangle? Compare and contrast the original coordinates to the new coordinates. Part B: If the scale factor was unknown, how could the coordinates of the two triangles be used to determine the scale factor?

Answer 1

The new coordinates of A'B'C' creates a triangle that is larger than ABC.

Transformation

Transformation is the movement of a point from its initial location to a new location. Types of transformation are translation, reflection, rotation and dilation.

If a point A(x, y) is dilated by a scale factor k, the new point is at A'(kx, ky).

Given that:

• Triangle ABC has the following coordinates: A(4 , 5), B(5 , 3), and C(2 , 3)

If it is dilated by a scale factor of 3, the new point is at:

• A'(12, 15), B'(15, 9) and C'(6, 9)

Therefore the new coordinates of A'B'C' creates a triangle that is larger than ABC.

Find out more on dilation at: brainly.com/question/10253650