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Grade 8 HMH Go Math - Answer Keys
Chapter 12:The Pythagorean Theorem; Lesson 2: Converse of the Pythagorean Theorem
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Guided Practice
Question 1
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Lashandra used grid paper to construct the triangle shown.
a. What are the lengths of the sides of Lashandra’s triangle?
Question 1
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b. Use the converse of the Pythagorean Theorem to determine whether the triangle is a right triangle.
The triangle that Lashandra constructed \(\color{red}{\text{is / is not}}\) a right triangle.
Question 2
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A triangle has side lengths 9 cm, 12 cm, and 16 cm. Tell whether the triangle is a right triangle. Let a = _____, b = _____, and c = ______.
By the converse of the Pythagorean Theorem, the triangle \(\color{red}{\text{is / is not} }\) a right triangle.
Question 3
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The marketing team at a new electronics company is designing a logo that contains a circle and a triangle. On one design, the triangle’s side lengths are 2.5 in., 6 in., and 6.5 in. Is the triangle a right triangle? Explain.
ESSENTIAL QUESTION CHECK-IN
Question 4
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How can you use the converse of the Pythagorean Theorem to tell if a triangle is a right triangle?
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