Question

Which of the following is correct for given rectangles?

• A. Both rectangles are similar.
• B. Both rectangles are not similar.
• C. Both rectangels are congruent.
• D. Both rectangles are neither congruent nor similar.

Answer 1

The correct option is D Both rectangles are neither congruent nor similar.

It is clear from the image that both rectangles do not have same size. Hence they are not congruent.
They have same shape which implies that they may be similar or may not be similar. Let's verify this:
-Corresponding angles are equal: Here all the angles in both rectangles are equal hence this condition is satisfied.
- Corresponding sides are in equal ratio.
Here,
$\frac{AB}{PQ}=\frac{2}{2}=1but\frac{AC}{PR}=\frac{4}{10}=0.4\ne 1Thisconditionisnotsatisfied.Henc\mathrm{e,}theyarenotsimilar.$