Question

1. dilate a using p as the center of dilation and a scale factor of 3. label the new point m, 2) dilate b using p as the center of dilation and a scale factor of 2. label the new point n.

Explanation:

Step1: Identify distance from P to A

Point A is 1 concentric circle away from P.

Step2: Calculate new distance for A'

Multiply distance by scale factor 3: $1 \times 3 = 3$
A' lies 3 circles from P, same direction as A.

Step3: Identify distance from P to B

Point B is 2 concentric circles away from P.

Step4: Calculate new distance for B'

Multiply distance by scale factor 2: $2 \times 2 = 4$
B' lies 4 circles from P, same direction as B.

Answer:

1. Point $A'$ is located 3 concentric circles away from center $P$, along the same radial line as point $A$.
2. Point $B'$ is located 4 concentric circles away from center $P$, along the same radial line as point $B$.