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Geometry 8-3 Trigonometry

3 (1 rating)

| 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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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.

- △ADFAnswer by dragging items here
- △AEGAnswer by dragging items here
- △ABCAnswer by dragging items here

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2

10 pts

Problem 1 Got It?

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B

C

D

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3

10 pts

Problem 2 Got It?

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B

C

D

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4

10 pts

Problem 2 Got It?

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D

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5

10 pts

Problem 2 Got It?

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B

C

D

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6

10 pts

Problem 2 Got It?

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B

C

D

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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.

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9

10 pts

A

B

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D

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10

10 pts

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D

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11

10 pts

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12

10 pts

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D

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13

10 pts

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14

10 pts

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15

10 pts

A

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16

10 pts

A

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D

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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.

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20

10 pts

Review Lessons 3-2 & 6-4: Use rectangle ABCD to match congruent angles.

- ∠6Answer by dragging items here
- ∠7Answer by dragging items here
- ∠11Answer by dragging items here

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21

10 pts

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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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

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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

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24

10 pts

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

- a/cAnswer by dragging items here
- b/aAnswer by dragging items here
- b/cAnswer by dragging items here

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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