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.

IM 7.7.10 Practice: Drawing Triangles (Part 2)

A triangle has sides of length 7 cm, 4 cm, and 5 cm. How many unique triangles can be drawn that fit that description? Explain or show your reasoning. Use the applet below to help you.
A triangle has one side that is 5 units long and an adjacent angle that measures 25°. The two other angles in the triangle measure 90° and 65°. [br][br]Use the applet below to complete the two diagrams to create two [i]different[/i] triangles with these measurements.
Is it possible to make a triangle that has angles measuring 90 degrees, 30 degrees, and 100 degrees?
[list][*]If so, draw an example in the applet below.[/*][*]If not, explain your reasoning.[/*][/list]
Segments [math]CD[/math], [math]AB[/math], and [math]FG[/math] intersect at point [math]E[/math]. Angle [math]FEC[/math] is a right angle. Identify any pairs of angles that are complementary.[br][br][img]data:image/png;base64,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[/img]
Match each equation to a step that will help solve the equation for x.
If you deposit $300 in an account with a 6% interest rate, how much will be in your account after 1 year?
If you leave this money in the account, how much will be in your account after 2 years?

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