Skip to content / Đến nội dung
ThichHocToan.com

IMSO 2004 Mathematics – International Exploration Question 2

IMSO Maths · IMSO 2004 Mathematics – International Exploration

Question 2

We define a trapezoid as a quadrilateral, which has a pair of parallel laterals; another pair of laterals are not parallel. In the rectangular arrangement below, there are exactly three noncongruent trapezoids. One of them is BCIG.

Question illustration

(a) Find the other two non-congruent trapezoids.

(b) Find the other 7 trapezoids which are congruent to BCIG.

(c) What is the total number of trapezoids that can be made on the arrangement (both congruent and non-congruent, including BCIG)?