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Grade 8 HMH Go Math - Answer Keys
Chapter 11:Angle Relationships in Parallel Lines and Triangles; Lesson 3:Angle-Angle Similarity
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Question 11
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Critique Reasoning Ryan calculated the missing measure in the diagram shown. What was his mistake?
\(\begin{aligned}\require{cancel} \frac{3.4}{6.5}&=\frac{h}{19.5}\\ 19.5\times\frac{3.4}{6.5}&=\frac{h}{19.5}\times19.5\\ \frac{66.3}{6.5}&=h\\ 10.2\text{cm}&=h \end{aligned} \)
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FOCUS ON HIGHER ORDER THINKING
Question 12
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Communicate Mathematical Ideas For a pair of triangular earrings, how can you tell if they are similar? How can you tell if they are congruent?
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Question 13
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Critical Thinking When does it make sense to use similar triangles to measure the height and length of objects in real life?
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Question 14
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Justify Reasoning Two right triangles on a coordinate plane are similar but not congruent. Each of the legs of both triangles are extended by 1 unit, creating two new right triangles. Are the resulting triangles similar? Explain using an example.