Expressing Geometric Properties with Equations

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

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

Area on a Coordinate Plane 2

Directions: Using the integers -9 to 9 at most one time each, fill in the boxes to create coordinates that represent the vertices of the triangle with the smallest possible area. Source: Robert Kaplinsky

Area on a Coordinate Plane 1

Directions: Using the integers -9 to 9 at most one time each, fill in the boxes to create coordinates that represent the vertices of two triangles: one with an area of less than 55 units2 and one with an area of more than 55 units2. You may reuse all the integers each time. Source: Robert Kaplinsky

Perpendicular Lines 2

Directions: Using the digits 0 to 9 at most one time each, fill in the boxes to create two perpendicular lines whose solution is as close to the origin as possible. Source: Robert Kaplinsky

Perpendicular Lines 1

Directions: Using the digits 0 to 9 at most one time each, fill in the boxes to create two perpendicular lines. 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