 # High School: Geometry

## Similar Triangles

Directions: Using the digits 0 to 9 at most one time each and as many leading zeros as you like, place a digit in each box to create two similar triangles. Source: Drew Ross

## Trigonometric Ratios

Directions: Using the digits 0 to 9 at most one time each, place a digit in each box to create a right triangle where 𝜃 is as close to 10° as possible. Source: Thomas Derstein

## Creating 3 Lines to form Right Triangle

Directions: Using the integers -9 to 9 at most one time fill in the boxes to create a right triangle on the coordinate plane. Source: Tracy Conte

## Circle Tangent to Line

Directions: Using the digits 0 to 9 at most one time each, place a digit in each box to create a circle tangent to the line x+y=5. Source: Linnea Reyes-LaMon

## Equations of Circles 1

Directions: Using the integers -9 to 9, at most one time each, fill in the boxes to create a circle and a point on the circle. Source: Robert Kaplinsky

## Equations of Circles 2

Directions: Using the integers -9 to 9, at most one time each, fill in the boxes to create a circle and a point on the circle with the point being as close to the origin as possible. Source: Robert Kaplinsky

## Central, Inscribed, & Circumscribed Angles 2

Directions: Using the digits 0 to 9 at most one time each, place a digit in each box so that the central angle has the greatest possible value. Source: Robert Kaplinsky

## Central, Inscribed, & Circumscribed Angles 1

Directions: Using the digits 0 to 9 at most one time each, place a digit in each box two times: once where the central angle is greater than 130° and once where it is less than 130°. You may reuse all the digits each time. Source: Robert Kaplinsky