Question

question 5 (multiple choice worth 2 points) (scale factor and dilation lc) parallelogram efgh is a dilation of parallelogram abcd. what is the scale factor, k? k = 3 k = 1/3 k = 4 k = 1/4

Explanation:

Step1: Recall scale - factor formula

The scale factor $k$ of a dilation is the ratio of the corresponding side lengths of the dilated figure to the original figure. If we consider corresponding sides, for example, side $AB$ in parallelogram $ABCD$ and side $EF$ in parallelogram $EFGH$.

Step2: Calculate the scale factor

We know that $AB = 3$ and $EF=12$. The scale factor $k=\frac{\text{length of side in dilated figure}}{\text{length of corresponding side in original figure}}=\frac{EF}{AB}$. Substituting the values, we get $k = \frac{12}{3}=4$.

Answer:

C. $k = 4$