Unit 1, Lesson 17

Drawing Triangles (Part 2)

Accelerated 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

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 3

ForLesson 12: Alternate Interior Angles

Segments \(CD\), \(AB\), and \(FG\) intersect at point \(E\). Angle \(FEC\) 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 4

ForLesson 7: Rotation Patterns

Draw segment \(PQ\).
When \(PQ\) is rotated \(180^\circ\) around point \(R\), the resulting segment is the same as \(PQ\). Where could point \(R\) be located?

Problem 5

ForLesson 12: Alternate Interior Angles

Which equation represents the relationship between the angles in the figure?

Two rays on the same side of a line meet at a point on the line to form 3 angles, with measure b degrees, 88 degrees, b degrees.

\(88+b=90\)
\(88+b=180\)
\(2b+88=90\)
\(2b+88=180\)

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