Geometry

Directions: The three triangles on the line are similar. Using the digits 0 to 9 at most one time each, place a digit in each box for the legs of the right triangles. Source: Jay Sydow

Directions: Using the digits 1 to 9 at most one time each, place a digit in each box to make a triangle with side lengths that give the corresponding area. Source: Owen Kaplinsky

Directions: Using the digits 0 to 9 at most one time each, fill in the boxes to create supplementary and complementary angles where the measures of each pair of angles are as close together as possible. Source: Brian Anderson with Robert Kaplinsky

Directions: Using the digits 0 to 9 at most one time each, fill in the boxes to create a circle with the smallest difference between the area estimates. Source: Robert Kaplinsky

Directions: Using the digits 0 to 9 at most one time each, fill in the boxes to create two possible circles. You may reuse all the digits for each statement. Source: Robert Kaplinsky

Directions: The perimeter of a triangle is 20 units. Using whole numbers, how many sets of side lengths can you find for this triangle? Source: Christina Ploeckelman

Directions: Using the digits 1-6, at most one time each, fill in the boxes to create the largest and smallest combined perimeter/circumference for the rectangle and circle. Source: Christin Smith

Directions: Using the digits 0-9, at most one time each, fill in the boxes so that one rectangle is a scaled drawing of the other. Source: Gian Cavaliere

Directions: Using the digits 0-9, at most one time each, fill in the boxes to make the statement true: Source: Bryan Anderson

Directions: Using the digits 1 to 9, at most one time each, fill in the boxes to fill in the circles of the triangle. The sum of the numbers on each side of the triangle is equal to the length of that side. Arrange the numbers so that the triangle is an equilateral triangle. Source: Erick Lee