Question

rectangle lmnp was dilated using the rule ( d_{p,3} ). which statements are true? check all that apply.
the length of line segment mn is 18 units.
the length of segment mn is 14 units.
the dilation is a reduction.
the dilation is an enlargement.
the scale factor is ( \frac{1}{3} ).
the scale factor is 3.

Explanation:

Step1: Identify scale factor

Rule $D_{P,3}$ means scale factor $k=3$.

Step2: Check segment length

Original $MN=6$, so $M'N'=6×3=18$.

Step3: Determine dilation type

Since $k=3>1$, it's an enlargement.

Answer:

The length of line segment M'N' is 18 units, The dilation is an enlargement, The scale factor is 3.