I would like you to draw and write a description of the experience of this draw, maybe in a different way.

3. In an arbitrary convex quadrilateral ABCD we mark the midpoints of sides AB and CD: these are named P and Q respectively. Prove that the area of quadrilateral APCQ equals half the area of quadrilateral ABCD. 4. In problem 3 of the class on 16/02/2021 we have seen 8 points that defined 40 isosceles triangles. Is it possible to find 8 points in the plane such that they define more than 40 isosceles triangles? 5. (Extra problem) We create an n x k (square) lattice using matches as the unit segments. For example, a 2 x 3 lattice can be obtained using 17 matches (see picture). In a step we can take away two matches if they are perpendicular to each other and meet at the same lattice point. For which pairs (n, k) is it possible to take away all matches using these kind of steps