High School: Geometry

Midpoint Formula

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

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Coordinate Parallelograms

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

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Creating Right Triangles 2

Directions: Using the digits 1 to 8 at most one time each, fill in the coordinates 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

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Creating Rectangles 2

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

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Line of Reflections on Isosceles Triangles

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.

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Law of Cosines Triangle

Directions: Using the digits 1 to 9 at most one time each, fill in the boxes 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? Source: Erick …

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Create Squares

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

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Finding the Length of a Right Triangle’s Altitude

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

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