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IM 7.7.10 Lesson: Drawing Triangles (Part 2)

Draw a 40° angle. Use a compass to make sure both sides of your angle have a length of 5 centimeters.

If you connect the ends of the sides you drew to make a triangle, is the third side longer or shorter than 5 centimeters? How can you use a compass to explain your answer?

Draw as many different triangles as you can with the following: One angle measures 40°, one side measures 4 cm and one side measures 5 cm.

Draw as many different triangles as you can with the following: Two sides measure 6 cm and one angle measures 100°.

Did either of these sets of measurements determine one unique triangle? How do you know? 

Draw as many different triangles as you can with the following: One angle measures 50°, one measures 60°, and one measures 70°.

Draw as many different triangles as you can with the following: One angle measures 50°, one measures 60°, and one measures 100°.

Did either of these sets of measurements determine one unique triangle? How do you know?

Using only the point, segment, and compass tools provided, create an equilateral triangle. You are only successful if the triangle remains equilateral while dragging its vertices around.