Three students are debating about whether Quadrilateral ABCD is similar to Quadrilateral EFGH. Read each statement below and decide who has the best argument. Justify you reasoning.
a) Justin says “they are definitely similar because they both have 90 oangles, so all the corresponding angles are congruent”.
b) CeCe says “the corresponding angles are congruent and both bases are in the ratio of 2:1 and both altitudes are in the ratio of 3:1 so the quadrilaterals must be similar”.
c) Maria says “The angles are congruent, but the ratio of the bases must be in the same as the ratio of the altitudes. Since one pair is in the ratio of 2:1 and the other pair is in the ratio of 3:1, the quadrilaterals cannot be similar”.