Directions: Using the digits 1-9, at most one time each, to fill in the blanks. Then solve the problem for x. Choose numbers such that the solution for x is a whole number. Source: Franco D. Adkins

Read More »# Geometry

## Parallel and Perpendicular Lines

Directions: Using the digits 0 to 9, at most once each time, fill in blanks to create a set of 4 points that create either parallel or perpendicular lines, depending on how you connect them. ( ___, ___ ) ( ___, ___ ) ( ___, ___ ) ( ___, ___ ) Source: Bryan Anderson

Read More »## Interior Angles

Directions: Using the digits 0 through 9 at most one time, fill in the boxes to make the sum of the interior angles of a triangle. Source: Ashley Henderson

Read More »## Pythagorean Theorem

Directions: Using the digits 0 to 9, at most one time each, fill in the boxes to find the lengths of the missing sides such that the missing leg’s length is as long as possible. Source: Robert Kaplinsky

Read More »## Pythagorean Theorem

Directions: Using the digits 0 to 9, at most one time each, fill in the boxes to find two pairs of possible lengths for the missing sides. Source: Robert Kaplinsky

Read More »## Partitioning a Line Segment

Directions: Fill in the boxes by using the numbers 1-8 exactly once. Create a line segment AB, where between point A and point B, there exists a point P so that it partitions line segment AB into a ratio. Source: Jon Henderson

Read More »## Maximizing Volume of a Cylinder, Given Lateral Area

Directions: Find at least 3 possible measures for the height and the radius of a cylinder with a lateral area of 144pi square centimeters. Which of your dimensions will give you the largest volume? Source: Jason Miller

Read More »## Perimeter and Pythagorean Theorem

Directions: What could the lengths of the legs be such that the lengths of the legs are integers and x is an irrational number between 5 and 7? Source: Daniel Luevanos

Read More »## Pythagorean Theorem

Directions: What could the lengths of the legs be such that the lengths of the legs are integers and x is an irrational number between 5 and 7? Source: Daniel Luevanos

Read More »## Transformations – Shortest Sequence

Directions: What is the fewest number of transformations needed to take pre-image ABCD to image A’B’C’D’? Source: Robert Kaplinsky

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