For each figure or description below, make a conjecture (statement) and justify your conjecture with one or more reasons. Record your conjecture in your notes.

You may want to view some of the postulates, theorems, and definitions in the following links to help you.

  1. What conjecture(s) can be made about the Rectangle MATH below?
    rectangle MATH with diagonals MT and HA intersecting at point G. The length of GT is 12

  2. A certain polygon has the following characteristics.

    Write as many conjectures about the polygon as you can, then describe the reasoning used to formulate your conjectures.

  3. A solid, four-inch cube of wood is coated with blue paint on all six sides. Then the cube is cut into smaller one-inch cubes. These new one-inch cubes will have either three blue sides, two blue sides, one blue side, or no blue sides. How many of each will there be?

See the Resource section for other websites with logic puzzles.

Click on the link below to play this matching game and see how well you know some geometry definitions and properties.

This activity might not be viewable on your mobile device. Interactive exercise. Assistance may be required.Geometry Definition Memory Game