Geometry 8-3 Complete Lesson: Trigonometry
By Matthew Richardson
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Last updated over 3 years ago
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.
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.
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.
- 5/6
- (√5)/6
- (√5)/5
- △ADF
- △AEG
- △ABC
Problem 1 Got It?
Problem 1 Got It?
Problem 2 Got It?
Problem 2 Got It?
Problem 2 Got It?
Problem 2 Got It?
Problem 2 Got It?
Problem 2 Got It?
Problem 2 Got It?
Problem 2 Got It?
Problem 3 Got It? Use the figure in the diagram. What is m∠Y to the nearest degree? Enter only a number.
Problem 3 Got It? Use the figure in the diagram. What is m∠Y to the nearest degree? Enter only a number.
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.
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.
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.
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.
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.
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.
Review Lessons 3-2 & 6-4: Use rectangle ABCD to match congruent angles.
Review Lessons 3-2 & 6-4: Use rectangle ABCD to match congruent angles.
- ∠1
- ∠5
- ∠3
- ∠6
- ∠7
- ∠11
Vocabulary Review: The Venn diagram shows the relationship between similar and congruent figures. Label each statement as True or False.
Vocabulary Review: The Venn diagram shows the relationship between similar and congruent figures. Label each statement as True or False.
- True
- False
- All similar figures are congruent figures.
- All congruent figures are similar figures.
- Some similar figures are congruent figures.
Vocabulary Review: Which postulate or theorem can you use to verify that the triangles in the diagram are similar.
Vocabulary Review: Which postulate or theorem can you use to verify that the triangles in the diagram are similar.
Use Your Vocabulary: Identify the ratio of the length of the longer leg to the length of the shorter leg.
Use Your Vocabulary: Identify the ratio of the length of the longer leg to the length of the shorter leg.
Use Your Vocabulary: Match each trigonometric ratio with its corresponding side length ratio.
Use Your Vocabulary: Match each trigonometric ratio with its corresponding side length ratio.
- sin B
- cos B
- tan B
- a/c
- b/a
- b/c
Reasoning: Suppose △ABC is a right isosceles triangle. What would the tangent of ∠B equal? Enter only a number.
Reasoning: Suppose △ABC is a right isosceles triangle. What would the tangent of ∠B equal? Enter only a number.
Reflection: Math Success
Reflection: Math Success