Unit 7, Lesson 10

Drawing Triangles (Part 2)

Grade 7

Practice

Problem 1

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.

Problem 2

A triangle has one side that is 5 units long and an adjacent angle that measures . The two other angles in the triangle measure and . Complete the two diagrams to create two different triangles with these measurements.

Two images, each a segment with side 5 and a dotted line rising at a 25 degree angle from the segment.

Problem 3

Is it possible to make a triangle that has angles measuring 90 degrees, 30 degrees, and 100 degrees? If so, draw an example. If not, explain your reasoning.

Problem 4

ForLesson 2: Adjacent Angles

Segments , , and intersect at point . Angle is a right angle. Identify a pair of angles that are complementary.

Segment C D, segment A, B, segment F G intersect at point E. Clockwise, the points are C, F, B, D, G, A. Angle F E C is a right angle.

Problem 5

ForLesson 15: Solving Equations with Rational Numbers

Match each equation to a step that will help solve the equation for .

Problem 6

ForLesson 8: Percent Increase and Decrease with Equations

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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