Identify unique and identical triangles.
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In Lessons 14 and 15, students investigate the situations that create unique, more than one, or no triangle. In this lesson, students observe how the conditions described about a triangle can sometimes be represented in a diagram in different ways. They will begin to sketch triangles with given conditions and continue this in Lesson 15.
If you need to adapt or shorten this lesson for remote learning, we suggest prioritizing Anchor Problem 1 (benefits from worked example) and Anchor Problem 2 (benefits from discussion). Find more guidance on adapting our math curriculum for remote learning here.
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Examine this set of triangles.
Grade 7 Unit 7 is made available by Open Up Resources under the CC BY 4.0 license. Copyright © 2017 Open Up Resources. Download for free at openupresources.org. Accessed March 11, 2018, 12:12 p.m..
Phil, Raul, and Teresa each drew a right triangle with another angle measuring 30° and a side length of 4 inches. Their drawings are shown below (not drawn to scale).
Phil claims that he drew the same triangle as Raul, but different from Teresa. Do you agree with Phil? Explain why or why not.
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The following resources include problems and activities aligned to the objective of the lesson that can be used to create your own problem set.
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A triangle has side lengths 8 cm and 3 cm and one angle that measures 20°.
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