A lot easier than last year.
Write a full solution.
1.) Let be a quadrilateral with the sum of the opposite sides are equal. (i.e. ). Prove that
2.) Let be the triangle with point lies on such that . Prove that is the internal angle bisector of .
3.) Let be the triangle with and . If is a median line, prove that .
4.) Given a line segment length unit. Explain how to construct a square with area of sq.unit using only straightedge and compass.
5.) Let the external angle bisectors of bisect at the extension of sides of triangle at . Prove that are collinear.
Check out all my notes and stuffs for more problems!