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.
The outlined content above was added from outside of Formative.
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1
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.
• 5/6
• (√5)/6
• (√5)/5
• △AEG
• △ABC  The outlined content above was added from outside of Formative. 2
2
10 pts
Problem 1 Got It?
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B
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D
The outlined content above was added from outside of Formative. 3
3
10 pts
Problem 2 Got It?
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D 4
4
10 pts
Problem 2 Got It?
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B
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D 5
5
10 pts
Problem 2 Got It?
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B
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D 6
6
10 pts
Problem 2 Got It?
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B
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D  The outlined content above was added from outside of Formative. 7
7
10 pts
Problem 3 Got It? Use the figure in the diagram. What is m∠Y to the nearest degree? Enter only a number.
8
10 pts
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.   9
9
10 pts
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D 10
10
10 pts
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D 11
11
10 pts
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B
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D 12
12
10 pts
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B
C
D 13
13
10 pts
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D 14
14
10 pts
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D 15
15
10 pts
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D 16
16
10 pts
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D  18
18
10 pts
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. 19
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. 20
20
10 pts
Review Lessons 3-2 & 6-4: Use rectangle ABCD to match congruent angles.
• ∠1
• ∠5
• ∠3
• ∠6
• ∠7
• ∠11  21
21
10 pts
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. 22
22
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  23
23
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 24
24
10 pts
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
25
10 pts
Reasoning: Suppose △ABC is a right isosceles triangle. What would the tangent of ∠B equal? Enter only a number.
26
10 pts
Reflection: Math Success
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