 # High School: Geometry

## Equation of a Circle 1

Directions: Using the digits 1 to 9 at most two times each, place a digit in each box to make two circles: one with an area of less than 10 units2 and one with more than 10 units2. Source: Robert Kaplinsky

## Midpoint Of A Line Segment: positive And Negative Slopes

Directions: Using the integers -9 to 9 at most one time each, place a digit in each box to create endpoints for two different line segments whose midpoint is (1, 3). One line segment should have a positive slope and the other should have a negative slope. You may reuse all the integers for each line segment. Source: Robert Kaplinsky …

## Midpoint Of A Line Segment: Longest Line Segment

Directions: Using the integers -9 to 9 at most one time each, place a digit in each box to create endpoints for the longest possible line segment whose midpoint is (1, 3). Source: Robert Kaplinsky in Open Middle Math

## Supplementary Angles

Directions: Using the digits from 0 – 9, at most one time each, find the measures of the two angles forming supplementary angles as close as possible in size. Source: Debra Schneider

## Pythagorean Inequality

Directions: Using the digits 1 through 6 at most one time each, place a digit in each box to find three side lengths that are two-digits each and form an acute triangle. Source: Samantha Cruz

## Area of Three Triangles

Directions: Use the integers 2 through 10, at most one time each, as lengths of individual sides to form three triangles. What is the smallest total area of the three triangles you can create? What is the largest? Source: Dan Wulf

## Area of a Triangle in the Coordinate Plane

Directions: Use the digits 0 to 9, at most one time each, to fill in ordered pairs for all three points, such that the area of Triangle ABC is closest to 6 square units. A ( ___, ___ ) B ( ___, ___ ) C ( ___, ___ ) Source: Henry Wadsworth

## Transformations

Directions: Given triangle ABC with vertices (-8,2), (-2,2), and (-2, 8), create triangle DEF in quadrant one that uses a translation, rotation, and reflection (in any order) to take that triangle to triangle ABC and show congruence. Source: Jon Henderson