Question

Medal and fan! A triangle with the vertices A(-3 4) B(3,1) and C(-1,-5) is dilated by a scale factor of 2 find the coordinates of a b and c

Answer 1

my answer is A'(-6,8) B'(6,2) and C'(-1,-10)

Answer 2

A(-3, 4)
B(3, 1)
C(-1, -5)

Borrowing from the definition of Mathematical Dilation

"Dilations. A dilation is a transformation (notation ) that produces an image that is the same shape as the original, but is a different size. A dilation stretches or shrinks the original figure. The description of a dilation includes the scale factor (or ratio) and the center of the dilation.."

Source: http://regentsprep.org/regents/math/geometry/gt3/Ldilate2.htm

The equation for dilating is (x, y) = (kx, ky), thus

A(-3 * 2, 4 * 2)
B(3* 2, 1 * 2)
C(-1 * 2, -5 * 2)

Notice, we are multiplying everything by 2. (Dilation involves multiplying!) Solve to get your answer.

Answer 3

was my answer wrong?

Answer 4

A'(-6,8) B'(6,2) and C'(-1,-10)

The last part. (-1, -5) = (-1 * 2, -5 * 2)...... -1 * 2 = -2..... = (-2, -10)

Answer 5

my mistake, thank you!