Hands-on math!

Washington State Math Olympiad
Hints and Solutions
2014 Grade 8 Geometry
Problem
1) The net shown folds to a cube with a missing face. Mark with an x two edges where the final square can be placed so that the net will fold to a cube with no missing faces.

2) The points A(1,3), B(2,3), C(2,2), D(0,0) and the origin are the vertices of a quadrilateral. Reflect ABCD across the line y = x. Reflect the resulting image A'B'C'D across the line y = 0 to get quadrilateral A''B''C''D. What are the coordinates of A''?

Problem

3) The five pointed star shown has rotational symmetry. What is the measure of DEC?
4) Two sides of a triangle have lengths of 6 inches and 11 inches. What is the range of possible values for the length of the third side, s? Express your answer using inequalities.
5) The figure shown is made up of horizontal segments, vertical segments and a diagonal segment. Is it possible to compute the difference in measure between angle 1 and 2? If so compute it. If not list which angle you need to know the measure of to solve the problem.