Google Classroom
GeoGebraGeoGebra Classroom

IM 7.7.9 Lesson: Drawing Triangles (Part 1)

Which one doesn’t belong? Why?

Drag the vertices to create a triangle with the given measurements: Jada’s triangle has one angle measuring 75°.

Make note of the different side lengths and angle measures in your triangle.  

Decide whether the triangle you made must be an identical copy of the triangle that Jada drew. Explain your reasoning.

Drag the vertices to create a triangle with the given measurements: Andre’s triangle has one angle measuring 75° and one angle measuring 45°.

Make note of the different side lengths and angle measures in your triangle.  

Decide whether the triangle you made must be an identical copy of the triangle that Andre drew. Explain your reasoning.

Drag the vertices to create a triangle with the given measurements: Lin’s triangle has one angle measuring 75°, one angle measuring 45°, and one side measuring 5 cm.

Make note of the different side lengths and angle measures in your triangle.  

Decide whether the triangle you made must be an identical copy of the triangle that Lin drew. Explain your reasoning.

Draw as many different triangles as you can with the following set of measurements: Two angles measure 60°, and one side measures 4 cm.

Draw as many different triangles as you can with the following set of measurements: Two angles measure 90°, and one side measures 4 cm.

Draw as many different triangles as you can with the following set of measurements: One angle measures 60°, one angle measures 90°, and one side measures 4 cm.

Which of the previous 3 sets of measurements determine one unique triangle? Explain or show your reasoning.

In the diagram, 9 toothpicks are used to make three equilateral triangles. Figure out a way to move only 3 of the toothpicks so that the diagram has exactly 5 equilateral triangles.