Question

The figure shows three quadrilaterals on a coordinate grid: Which of the following statements is true about the three quadrilaterals?
A-Q and W are similar but not congruent.
B- W and S are similar and congruent.
C-W and Q are similar and congruent.
D- Q and S are similar but not congruent.

Please show proof if its right

Answer 1

Answer:

A

Step-by-step explanation:

Q, S, and W are rectangles.

Q and S both have length 5 and width 2.

Q and S are similar and congruent.

W has length 10 and width 4.

The length of W is twice the length of Q or S.

The width of W is twice the width of Q or S.

Since the ratios of lengths of corresponding sides are equal, W is similar to Q and S.

Now we pick the correct choice.

A is true.

B is false since W and S are not congruent.

C is false since W and Q are not congruent.

D is false since Q and S are congruent.

Answer: A