Question

Triangle a(-2,3), b(5,4) c(0,-4) is dialated by a scale factor of 3. The center of the dialation is at the origin. Select the Correct coordinates for the new triangle.

Answer 1

Answer:

New coordinates of triangle are:

A(-6,9), B(15,20), C(0,12)

Option A is correct option.

Step-by-step explanation:

Triangle A(-2,3), B(5,4) C(0,-4) is dilated by a scale factor of 3. The centre of the dilation is at the origin. Select the Correct coordinates for the new triangle.

When a triangle is dilated by a scale factor, we multiply the scale factor with all the coordinates of the triangle.

So, We have A(-2,3), B(5,4) C(0,-4)

Dilation by a scale factor of 3

We get

A = 3(-2,3) = (-6,9)

B = 3(5,4) = (15,20)

C = 3(0,4) = (0,12)

So, New coordinates of triangle are:

A(-6,9), B(15,20), C(0,12)

Option A is correct option.