Expressing Geometric Properties with Equations

Directions: Using the digits 1 to 9, at most one time each, place a digit in each box so that the lines through each pair of points are parallel. Source: Nanette Johnson

Directions: Using the digits 1 to 9, at most one time each, place a digit in each box to create a parallelogram from the vertex (2,3): (__,__), (__,__), and (__,__) Source: Bryan Anderson

Directions: Using the digits 1 to 9, at most one time each, place a digit in each box to create a rectangle from the vertex (2,3): (__,__), (__,__), and (__,__) Source: Bryan Anderson

Directions: Using the digits 1 to 9, at most one time each, place a digit in each box to create a right triangle from the vertex (2,3): (__,__) and (__,__) Source: Bryan Anderson

Directions: Using the digits 1 to 9 at most one time each, fill in the blanks to create two distinct perpendicular lines.  Note that the coefficient for the second line’s y is negative. __ x + __ y = __ __ x + -__ y = __ Source: Bryan Anderson

Directions: Using the digits 1 to 9, at most one time each, place a digit in each box to create two distinct parallel lines. Source: Bryan Anderson

Directions: Using the digits 1 to 9, at most one time each, place a digit in each box to create two points that are equidistant from (4,-1). Source: Bryan Anderson

Directions: How many points with two integer coordinates are 5 units away from (-2, 3)? Source: Dylan Kane

Directions: Using any integers, place an integer in each box so that: The equation’s graph is a circle. The circle has the biggest area The circle is completely inside the first quadrant The circle’s radius is a whole number 1 through 9. Source: Nanette Johnson

Directions: Using the digits 1 to 9, as many times as you want, place a digit in each box to make the biggest circle possible. Source: Robert Kaplinsky