(02.05)The figure shows three quadrilaterals on a coordinate grid: A coordinate plane is shown. Figure Q is a quadrilateral with sides measuring 5 and 2. Figure S is a quadrilateral with sides measuring 5 and 2. Figure W is a quadrilateral with sides measuring 10 and 4. Which of the following statements is true about the three quadrilaterals? Q and W are similar but not congruent. W and S are similar and congruent. W and Q are similar and congruent. Q and S are similar but not congruent.

Answer: The correct option is A) Q and W are similar but not congruent. Step-by-step explanation: Consider the provided graph.Figure Q is a quadrilateral with sides measuring 5 and 2Figure S is a quadrilateral with sides measuring 5 and 2. Figure W is a quadrilateral with sides measuring 10 and 4.Two figures are similar if the shape of the figures are same but not necessarily same size.Two figures are congruent if the size and shape of the figure are same.Note: If two figures are congruent, then they are also similar, but converse is not true.The dimensions of Q is equals to the corresponding dimensions of the rectangle S. Thus, Q and S are similar and congruent as they have the same shape and the same size.The dimension of quadrilateral W is 2 times of quadrilateral Q and S. Thus the dimensions of W is proportional to dimensions of Q.That means quadrilateral W is similar to Q and S but not congruent.Thus, the correct option is A) Q and W are similar but not congruent.