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Australian AMC 2018 - Junior Question 19

AMC AUSTRALIA · Australian AMC 2018 - Junior

Question 19

A square of paper is folded along a line that joins the midpoint of one side to a corner. The bottom layer of paper is then cut along the edges of the top layer as shown.

Question illustration

When the folded piece is unfolded, which of the following describes all the pieces of paper?
  1. a kite and a pentagon of equal area
  2. a rectangle and a pentagon of equal area
  3. an isosceles triangle and a pentagon, with the pentagon of larger area
  4. a kite and a pentagon, with the kite smaller in area
  5. a rectangle and a pentagon, with the rectangle larger in area