Geometry 8-3 Trigonometry

3 (1 rating)

by Matthew Richardson

| 26 QuestionsNote 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.

1

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

- △ADF
- △AEG
- △ABC

2

2

10 pts

Problem 1 Got It?

A

B

C

D

3

3

10 pts

Problem 2 Got It?

A

B

C

D

4

4

10 pts

Problem 2 Got It?

A

B

C

D

5

5

10 pts

Problem 2 Got It?

A

B

C

D

6

6

10 pts

Problem 2 Got It?

A

B

C

D

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

A

B

C

D

10

10

10 pts

A

B

C

D

11

11

10 pts

A

B

C

D

12

12

10 pts

A

B

C

D

13

13

10 pts

A

B

C

D

14

14

10 pts

A

B

C

D

15

15

10 pts

A

B

C

D

16

16

10 pts

A

B

C

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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