Geometry 8-3 Complete Lesson: Trigonometry

Last updated almost 4 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.

Geometry 8-3 Complete Lesson: Trigonometry

Geometry 8-3 Complete Lesson: Trigonometry

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.

Problem 1 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? 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.

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.

Vocabulary Review: The Venn diagram shows the relationship between similar and congruent figures. Label each statement as True or False.

Vocabulary Review: Which postulate or theorem can you use to verify that the triangles in the diagram are similar.

Use Your Vocabulary: Match each trigonometric ratio with its corresponding side length ratio.

Reasoning: Suppose △ABC is a right isosceles triangle. What would the tangent of ∠B equal? Enter only a number.

Reflection: Math Success

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.

Problem 1 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? 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.

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.

Vocabulary Review: The Venn diagram shows the relationship between similar and congruent figures. Label each statement as True or False.

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: Match each trigonometric ratio with its corresponding side length ratio.

Reasoning: Suppose △ABC is a right isosceles triangle. What would the tangent of ∠B equal? Enter only a number.

Reflection: Math Success

Use Your Vocabulary: Identify the ratio of the length of the longer leg to the length of the shorter leg.