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# Geometry

## Sides of a Triangle

Directions: The perimeter of a triangle is 20 units. Using whole numbers, how many sets of side lengths can you find for this triangle? Source: Christina Ploeckelman

## Perimeter & Circumference

Directions: Using the digits 1-6, at most one time each, fill in the boxes to create the largest and smallest combined perimeter/circumference for the rectangle and circle. Source: Christin Smith

## Similar Shapes

Directions: Using the digits 0-9, at most one time each, fill in the boxes so that one rectangle is a scaled drawing of the other. Source: Gian Cavaliere

## Complimentary and Supplementary Angles

Directions: Using the digits 0-9, at most one time each, fill in the boxes to make the statement true: Source: Bryan Anderson

## Equilateral Triangle

Directions: Using the digits 1 to 9, at most one time each, fill in the boxes to fill in the circles of the triangle. The sum of the numbers on each side of the triangle is equal to the length of that side. Arrange the numbers so that the triangle is an equilateral triangle. Source: Erick Lee

## The Triangle Inequality

Directions: Use the integers 1 through 10, at most one time each (7 and 9 can still be used)to complete the scenarios below: Source: Shaun Errichiello

## Maximizing Rectangular Prism Volume Versus Surface Area

Directions: What is the greatest volume you can make with a rectangular prism that has a surface area of 20 square units? Source: Robert Kaplinsky

## Area/Circumference of Circles

Directions: If possible, find the radius of a circle where the area of the circle and the circumference of the circle are equal. Is there more than one possible answer? Source: Karen Bloom