Question

4. The quadrilateral PQRS in the diagram is a parallelogram. Let P'Q'R'S' be the image ofPQRS after applying a dilation centered at a point o (not shown) with scale factor 3.Which of the following is true?A. P'Q' = PQB. P'Q' = 3PQC. PQ = 3P'Q'D. Cannot be determined from the information given

Answer 1

Given:

The quadrilateral PQRS in the diagram is a parallelogram.

Let P'Q'R'S' be the image of PQRS after applying a dilation centered at a point O with scale factor 3.

So, each sides of a parallelogram P'Q'R'S' has enlarged with the scale factor 3.

Hence,

P'Q' = 3PQ

Therefore, the correct option is option B.