# 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

## 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

## 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

## 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

## 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

## 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

## 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

## Equidistant Points

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