Hands-on math!

Washington State Math Olympiad
Hints and Solutions
2013 Grade 5 Geometry
Problem
1) In a computer game, players get to design an amusement park. The location of each ride is marked on a coordinate grid. Jocelyn wants the four rides shown in the table to be positioned at the four corners of a rectangle. What should be the coordinates of the carousel?

2) I am a quadrilateral. I can be divided into four congruent right triangles whose side lengths are 5 cm, 12 cm, and 13 cm. Draw what I could look like and compute my area.

3) Parallelograms MLKP and PKON are congruent. The measure of angle MLK is 55o. What is the measure of angle LKP?

Problem

4) AD and BE are two lines of symmetry for hexagon ABCDEF. Which angles must have the same measure as angle F if any? You may list angles by their vertex label.

5) An isosceles triangle has a vertex at (3, 2) and a vertex at (7,5). The angles at these vertices are not congruent. It has a horizontal line of symmetry through the vertex at (7,5). Where is the third vertex located?