Question

sylvia enlarged a photo to make a 24 x 32 inch poster using the dilation ( d_{q,4} ). what are the dimensions, in inches, of the original photo?
( \bigcirc ) ( 3 \times 8 )
( \bigcirc ) ( 6 \times 8 )
( \bigcirc ) ( 12 \times 16 )
( \bigcirc ) ( 18 \times 24 )

Explanation:

Step1: Recall dilation scale factor rule

Dilated dimension = Original × Scale factor ($D_{Q,4}$ means scale factor 4)

Step2: Calculate original height

Original height = $\frac{24}{4} = 6$ inches

Step3: Calculate original width

Original width = $\frac{32}{4} = 8$ inches

Answer:

B. 6 × 8