Polygon PQRST shown below is dilated with a scale factor of 3, keeping the origi

Question

Polygon PQRST shown below is dilated with a scale factor of 3, keeping the origin as the center of dilation: Which statement about polygon PQRST and its image after dilation, polygon P'Q'R'S'T', is correct? Which statement about polygon PQRST and its image after dilation, polygon P'Q'R'S'T', is correct? The lengths of side RQ and side R'Q' are in the ratio 1: 3. The length of diagonal RT is equal to the length of diagonal R'T'. The measures of angle S and angle S' are in the ratio 1: 3. The length of side PQ is equal to the length of side P'Q'.

Explanation / Answer

Here only the first statement is correct.

ie the lengths of side RQ and R'Q' are in the ratio 1:3

Here the scale factor is 3

The scale factor of a dialation is the ratio of corresponding side lengths

length of RQ=3 and length of R'Q'=9

RQ:R'Q'=3:9=1:3

Thanks

:)

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