Triangle PQR is dilated using the origin as the center to form the image triangle P'Q'R. Determine the scale factor used to make this transformation

Triangle PQR is dilated using the origin as the center to form the image triangle PQR Determine the scale factor used to make this transformation class=

Respuesta :

Answer:

Scale factor = 3

Explanation:

Where we dilate a figure by a scale factor of k, the coordinates of all the vertex are transformed using the rule:

(x, y) = (k*x, k*y)

So, in order to identify the scale factor, we need to identify the coordinates of points P, Q, and R and points P', Q', and R'. Then:

P(1, 3) ------> P'(3, 9)

Q(3, 1) ------> Q'(9, 3)

R(1, 1) -------> R'(3, 3)

Therefore, the scale factor is 3, because:

P(1, 3) ------>(3*1, 3*3) = P'(3, 9)

Q(3, 1) ------>(3*3, 3*1) = Q'(9, 3)

R(1, 1) ------->(3*1, 3*1) = R'(3, 3)