Question
Show that pentagon CDEFG is similar or not similar to pentagon PQRST. Are the two pentagons similar? How do you know? Yes, because all corresponding sides are proportional. Yes, because all corresponding sides are congruent. No, because all corresponding sides are not proportional. No, because all corresponding sides are not congruent.
Answer
4.3
(171 Votes)
Quentin
Veteran · Tutor for 9 years
Answer
To determine whether two polygons are similar, we need to check if all corresponding angles are equal and if all corresponding sides are proportional. However, in this case, we are given a quadrilateral (PQRS) and asked to compare it with a pentagon (CDEFG). Since a quadrilateral has four sides and a pentagon has five sides, they cannot have all corresponding sides and angles, and therefore cannot be similar.The correct answer is:No, because all corresponding sides are not proportional.Additionally, the number of sides is different, which is a fundamental difference that prevents the two figures from being similar. Quadrilaterals and pentagons inherently have different shapes due to their differing number of sides.Final Answer: No, because all corresponding sides are not proportional.