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High School: Geometry

Equations of Perpendicular Lines

Directions: Fill in the empty spaces choosing any whole numbers 1 through 9, but only using each number at most once, so that you 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: Fill in the empty spaces so that you create two distinct parallel lines. You can choose any whole number 1 through 9, but can only use a number once. __ x + __ y = __ __ x + __ y = __ Source: Bryan Anderson

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Equidistant Points 2

Directions: Fill in the empty blanks with whole numbers 1 through 9, using each number at most once, so that you create two points equidistant from (4,-1). Source: Bryan Anderson

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How Many Squares?

Directions: How many squares are shown in the diagram below? Source:  This problem was found in the Fifth Edition Elementary Geometry for College Students by Alexander and Koeberlein

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Equation of the Biggest Circle

Directions: Fill in the blanks with integers (including negatives) that meet the following requirements: 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 whole numbers 1 – 9 as many times as you like, make the biggest circle by filling in the blanks below: Source: Robert Kaplinsky

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