High School: Geometry

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

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 perpendicular. Source: Nanette Johnson

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: What is the fewest number of transformations needed to take pre-image ABCD to image A’B’C’D’? Source: Robert Kaplinsky

Directions: List three sequences of transformations that take pre-image ABCD to image A’B’C’D’. Source: Robert Kaplinsky

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