Question

Which statement about corresponding sides and angles of the two polygons is correct?

Answer 1

The statement that "The lengths of side SR and side S'R' are in the ratio 1:3" is correct.

The first option is incorrect because, as seen in the graph, the two angles have the same measure.

The second choice and third choices are wrong because the two polygons are different sizes, as stated in the question and as shown in the attached graph.

Therefore, the last selection is the correct option.

Answer 2

Option D. is the correct answer.

Explanation:

In this graph, polygon PQRST has been dilated by a scale factor of 3 keeping origin as the center of dilation to form P'Q'R'S'T'.

We know when two polygons are similar, their angles will be same and their corresponding sides will be in the same ratio.

Therefore, option D.which clearly says that the ratio of side SR and S'R' is 1 : 3, will be the answer.