Unit 1, Lesson 16

Drawing Triangles (Part 1)

Accelerated 7

Practice

Problem 1

Are these two triangles identical? Explain how you know.

Two triangles, each with angles labeled 85 and 70 degrees. First triangle, the side opposite the 70 degree angle is labeled 12. Second triangle, the side opposite the 85 degree angle is labeled 12.

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Problem 2

Are these triangles identical? Explain your reasoning.

Two triangles are shown that share one side.

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Problem 3

Tyler claims that if two triangles each have a side length of 11 units and a side length of 8 units, and also an angle measuring \(100^\circ\), they must be identical to each other. Do you agree? Explain your reasoning.

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Problem 4

Use a protractor to try to draw each triangle. Which of these three triangles is impossible to draw?

A triangle where one angle measures \(20^\circ\) and another angle measures \(45^\circ\)
A triangle where one angle measures \(120^\circ\) and another angle measures \(50^\circ\)
A triangle where one angle measures \(90^\circ\) and another angle measures \(100^\circ\)

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Problem 5

A triangle has an angle measuring \(90^\circ\), an angle measuring \(20^\circ\), and a side that is 6 units long. The 6-unit side is in between the \(90^\circ\) and \(20^\circ\) angles.

Sketch this triangle and label your sketch with the given measures.
How many unique triangles can you draw like this?

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Drawing Triangles (Part 1)

Practice

Problem 1

Problem 2

Lesson 16 Resources

Problem 3

Problem 4

Problem 5