Expressing Geometric Properties with Equations

Directions: Create two pairs of coordinates on the same line segment that have M (3,4) as their midpoint. Source: Dane Ehlert

Directions: Using the digits 1 to 9 at most one time each, fill in the boxes so that the points make a parallelogram. Source: Daniel Torres-Rangel

Directions: Using the digits 0 to 9 at most one time each, fill in the boxes to create a correct statment: Source: Andy Schwen

Directions: Using the digits 1 to 8 at most one time each, fill in the coordinates to create the vertices of a right triangle: A(__, __), B(__, __), C(__, __) Extension: Try to do this using only the digits 1 to 6. Source: Erick Lee

Directions: Using the digits 1 to 8 at most one time each, fill in the coordinates to create the vertices of a rectangle: A(__, __), B(__, __), C(__, __), D(__, __). Extension: What is the rectangle with the largest/smallest area/perimeter that you can find? Source: Erick Lee

Directions: Using the digits 0 to 9 at most one time each, fill in the boxes to create a square with one of the vertices at (2,3). Source: John Mahlstedt

Directions: The black triangle is a right triangle with legs 8 and 6. The vertices are at the points (0,0), (0,8), and (6,0). The red line segment is perpendicular to hypotenuse. Find the length of the red line segment. Source: Kate Nerdypoo

Directions: Using the digits 1 to 9 at most one time each, fill in the boxes so that 2 of the lines are parallel and the third line is a transversal that is as close to perpendicular to the parallel lines as possible. Source: Shelli Foust and Robert Kaplinsky

Directions: Using the digits 1 to 9 at most one time each, fill in the boxes so that 2 of the lines are parallel and the third line is a transversal. Source: Shelli Foust

Directions: Fill in the boxes with the digits 1 through 9 so that the lines through each pair of points are perpendicular. Use each digit at most once. Source: Nanette Johnson