# Strategic Geometry

A five pointed star is made by extending the sides of a regular pentagon. What fraction of the star on the right is shaded yellow?

If you donâ€™t know how to approach a given puzzle, spend a minute using your intuition to make an informed guess. Then be sure to check out the solution to learn a technique that can be used to solve it precisely!

# Strategic Geometry

At first, you paint your $$1 \text{ in }\times 1\text{ in } \times 1\text{ in}$$ cube blue on all sides. You then cut it into smaller cubes and paint all 8 completely pink.

What is the difference between the amount of blue paint you use and the amount of pink paint, in square inches?

# Strategic Geometry

What is the length of the red perimeter of this figure? (The line segment $$\overline{AB}$$ is the radius of both circles, and the circumference of a circle is $$2\pi r ).$$

Hint:

# Strategic Geometry

This twelve pointed star is made by extending the sides of a regular 12-sided polygon (a dodecagon). What is the measure of the pink angle?

# Strategic Geometry

True or False?

Connecting the consecutive midpoints of the four sides of any simple quadrilateral makes a parallelogram.

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