Expressing Geometric Properties with Equations

Parallel Lines and Slope

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

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Creating Parallelograms

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

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Creating Rectangles

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

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Creating Right Triangles

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

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Equations of Perpendicular Lines

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

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Equations of Parallel Lines

Directions: Using the digits 1 to 9 at most one time each, fill in the blanks to create two distinct parallel lines. __ x + __ y = __ __ x + __ y = __ Source: Bryan Anderson

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Equidistant Points 2

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

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Equation of the Biggest Circle

Directions: Using any integers, fill in the blanks to Fill in the blanks with integers 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

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Make the Biggest Circle

Directions: Using the digits 1 to 9 as many times as you want, fill in the boxes to make the biggest circle: Source: Robert Kaplinsky

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