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Geometry 8-3 Trigonometry
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3 (1 rating)
by Matthew Richardson
| 26 Questions
Note from the author:
A complete formative lesson with embedded slideshow, mini lecture screencasts, checks for understanding, practice items, mixed review, and reflection. I create these assignments to supplement each lesson of Pearson's Common Core Edition Algebra 1, Algebra 2, and Geometry courses. See also mathquest.net and twitter.com/mathquestEDU.
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10 pts
Solve It! What is the ratio of the length of the shorter leg to the length of the hypotenuse for △ADF, AEG, and △ABC? Not all ratios will be used.
  • △ADF
    Answer by dragging items here
  • △AEG
    Answer by dragging items here
  • △ABC
    Answer by dragging items here
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10 pts
Problem 1 Got It?
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10 pts
Problem 2 Got It?
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10 pts
Problem 2 Got It?
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Problem 2 Got It?
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10 pts
Problem 2 Got It?
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10 pts
Problem 3 Got It? Use the figure in the diagram. What is m∠Y to the nearest degree? Enter only a number.
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Problem 3 Got It? Reasoning: Suppose you know the lengths of all three sides of a right triangle. Does it matter which trigonometric ratio you use to find the measures of any of the three angles? Explain.
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Error Analysis: A student states that sin A > sin X because the lengths of the sides of △ABC are greater than the lengths of △XYZ. What is the student's error? Explain.
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10 pts
Review Lesson 8-2: The length of the hypotenuse of a 30-60-90 triangle is 8. What are the lengths of the legs? Select all that apply.



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Review Lessons 3-2 & 6-4: Use rectangle ABCD to match congruent angles.
  • ∠6
    Answer by dragging items here
  • ∠7
    Answer by dragging items here
  • ∠11
    Answer by dragging items here
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Vocabulary Review: The Venn diagram shows the relationship between similar and congruent figures. Label each statement as True or False.
  • All similar figures are congruent figures.
    Answer by dragging items here
  • All congruent figures are similar figures.
    Answer by dragging items here
  • Some similar figures are congruent figures.
    Answer by dragging items here
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10 pts
Vocabulary Review: Which postulate or theorem can you use to verify that the triangles in the diagram are similar.
AA ~ Postulate
SAS ~ Theorem
SSS ~ Theorem
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10 pts
Use Your Vocabulary: Identify the ratio of the length of the longer leg to the length of the shorter leg.
5/13
5/12
12/13
13/12
12/5
13/5
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10 pts
Use Your Vocabulary: Match each trigonometric ratio with its corresponding side length ratio.
  • a/c
    Answer by dragging items here
  • b/a
    Answer by dragging items here
  • b/c
    Answer by dragging items here
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10 pts
Reasoning: Suppose △ABC is a right isosceles triangle. What would the tangent of ∠B equal? Enter only a number.
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10 pts
Reflection: Math Success
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