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SRT.5 Similarity Application

Author:Mark Brouwer

SRT.5

I can use similarity conditions to compute side lengths and angle measures of similar triangles. Similarity conditions (so far): AA~ SSS~

Learning Targets

Learning Targets

Instructions for Feb. 28

1. Find a partner. Open CPM eBook 3.2.1 question 3-50. Use the Desmos tools to check for possibilities. 2. Check in with your teacher to test your team’s answers to 50 a. b. c. Make sure your team understands the questions, before trying out answers. 3. As a team, answer question 3-51 a. b. c. d. Write explanations for each answer.

Teams

List the names of your partners for this activity:

Desmos Tool for 50a.

3-50 a: Is it possible?

Is it possible to make a second triangle with two sides proportional to 4 cm and 5 cm, and an included angle of 20° that is not similar?

Tick all that apply
  • A
  • B
Check my answer (3)

Desmos Tool for 50b#1

3-50 b #1: Is it possible?

Is it possible to make a second triangle with two sides proportional to 3 cm and 4 cm, and an included angle of 120° that is not similar?

Tick all that apply
  • A
  • B
Check my answer (3)

3-50 b #2: Is it possible?

3-50 b #2 Is it possible?

Is it possible to make a second triangle with two sides proportional to 3 cm and 4 cm, and an included angle of 120° that is not similar?

Tick all that apply
  • A
  • B
Check my answer (3)

SAS: Is it possible for two triangles with proportional sides and included congruent angles to not be similar?

Is it possible to move points D & F to create a DEF that is not similar to ABC

Tick all that apply
  • A
  • B
Check my answer (3)
Image

1-51a #1

1-51a #1
Answer the following 2 questions about the two triangles above:

3-51 a #1

Are the triangles above similar? If so, then write a similarity statement for them in the space below; if not, write 'not similar'

1-51a #2

Explain how your team arrived at the previous answer. Try to use one of our three similarity conditions, AA , SSS & SAS, to justify your answer.

3-51 b.

3-51 b.
Answer the following 2 questions about the two triangles above:

3-51 b #1

Are the triangles above similar? If so, then write a similarity statement for them in the space below; if not, write 'not similar'

3-51 b #2

Explain how your team arrived at the previous answer. Try to use one of our three similarity conditions, AA , SSS & SAS, to justify your answer.

3-51 c. #1

3-51 c. #1
Answer the following 2 questions about the two triangles above:

3-51 c. #1

Are the triangles above similar? If so, then write a similarity statement for them in the space below; if not, write 'not similar'

3-51 c. #2

Explain how your team arrived at the previous answer. Try to use one of our three similarity conditions, AA , SSS & SAS, to justify your answer.

3-51 d. #1

3-51 d. #1
Answer the following 2 questions about the two triangles above:

3-51 d. #1

Are the triangles above similar? If so, then write a similarity statement for them in the space below; if not, write 'not similar'

3-51 d. #2

Explain how your team arrived at the previous answer. Try to use one of our three similarity conditions, AA , SSS & SAS, to justify your answer.

Exit Ticket Password

Enter the Password: Similarity Conditions in order to complete the Exit Ticket Below

Exit Ticket

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