High School: Geometry

Directions: Create two pairs of coordinates on the same line segment that have M (3,4) as their midpoint. Source: Dane Ehlert

Directions: Using the digits 1 to 9, at most one time each, place a digit in each box so that the points make a parallelogram. Source: Daniel Torres-Rangel

Directions: Using the digits 0 to 9, at most one time each, place a digit in each box to make the statement true. Source: Andy Schwen

Directions: Using the digits 1 to 8, at most one time each, place a digit in each blank to create the vertices of a right triangle: A(__, __), B(__, __), C(__, __) Extension: Try to do this using only the digits 1 to 6. Source: Erick Lee

Directions: Using the digits 1 to 8, at most one time each, fill in the coordinates to create the vertices of a rectangle: A(__, __), B(__, __), C(__, __), D(__, __). Extension: What is the rectangle with the largest/smallest area/perimeter that you can find? Source: Erick Lee

Directions: How many ways can you determine the location of the line of reflection for isosceles triangle XYZ that maps Point X to Point Z? Source: Irvine Math Project, Nanette Johnson, and Robert Kaplinsky.

Directions: Using the digits 1 to 9, at most one time each, place a digit in each box to fill in the circles of a triangle. The sum of the numbers on each side of the triangle is equal to the length of that side. What is the triangle with the largest (or smallest) angle measure that you can make? …

Directions: Find at least 3 possible measures for the height and the radius of a cylinder with a lateral area of 144pi square centimeters. Which of your dimensions will give you the largest volume? Source: Jason Miller

Directions: Using the digits 0 to 9, at most one time each, place a digit in each box to create a square with one of the vertices at (2,3). Source: John Mahlstedt

Directions: The black triangle is a right triangle with legs 8 and 6. The vertices are at the points (0,0), (0,8), and (6,0). The red line segment is perpendicular to hypotenuse. Find the length of the red line segment. Source: Kate Nerdypoo