Question

Triangle PQR is transformed to the similar triangle P′Q′R′.A coordinate grid is shown from negative 10 to 0 to positive 10 on both x- and y-axes at increments of 1. A triangle PQR has P at ordered pair 3, 3, Q at 6, 3, R at 3, 6. A polygon P prime Q prime R prime has P prime at ordered pair 1, 1, Q prime at ordered pair 2, 1, R prime at ordered pair 1, 2.What is the scale factor of dilation? (1 point)1 over 21 over 31 over 41 over 5

Answer 1

We already know that ΔPQR and ΔP'Q'R' are similar triangles. This means that their corresponding sides have a constant ratio "r" (factor of dilation):

$r=\frac{P^{\prime}Q^{\prime}}{P^{}Q^{}}=\frac{P^{\prime}R^{\prime}}{P^{}R^{}}=\frac{Q^{\prime}R^{\prime}}{QR}$

Looking at the graph, we determine that PQ = 3 and P'Q' = 1, so the factor of dilation is:

$r=\frac{1}{3}$