Hands-on math!

Washington State Math Olympiad
Hints and Solutions
2017 Grade 5 Geometry
Problem
1) What is the measure of angle X?
(Figure is not to exact scale)

2) A square has vertices at (2,-1) and (-5,2). Only one of its vertices is in Quadrant III. Give the coordinates of the vertex that is in Quadrant III.

3) Find the area of the figure (not drawn to scale)

Problem

4) The point (5,-3) is reflected across the x-axis, moved left 2 units and then reflected across the y- axis. What are the coordinates of the new point?

5) An equilateral triangle has an area of 64 sq. in.
The midpoints of the sides are connected and the middle triangle shaded in:
 Each of the remaining unshaded triangles is now changed in the same way: This is done one more time, creating this triangle:
What is the area of the unshaded region in this triangle?