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PROVE THE RIGHT TRIANGLE SIMILARITY THEOREM

Author:Alyka Mae Tipay
Topic:Geometry

ΔABC is a right triangle with ∠BAC as its right angle, and hypotenuse BC. AD is the altitude to the hypotenuse of ΔABC.

Base on the figure above, complete the table by answering the following questions:

Base on the figure above, complete the table by answering the following questions:

1.

What do you think is the reason for letter c?

Select all that apply
  • A
  • B
  • C
  • D
Check my answer (3)

2.

What made you think that ∠ADB and ∠ADC are right angles (d)?

Select all that apply
  • A
  • B
  • C
  • D
Check my answer (3)

3.

Statement 5 is true because of what principle?

Select all that apply
  • A
  • B
  • C
  • D
Check my answer (3)

4.

∠ABD is congruent to ∠CBA ∠ACD is congruent to ∠BCA. These statements are true because of?

Select all that apply
  • A
  • B
  • C
  • D
Check my answer (3)

5.

What previous theorem/postulate made statement 7 correct?

Select all that apply
  • A
  • B
  • C
  • D
Check my answer (3)

6.

Therefore, 𝛥𝐴𝐷𝐵∼𝛥𝐴𝐵𝐶∼𝛥𝐴𝐶𝐷 by?

Select all that apply
  • A
  • B
  • C
  • D
Check my answer (3)

7-15.

Given the figure 𝛥ABC above, find the length of of segments BD, DC, and BC. (Post your solution on the link that will be uploaded in Google Classroom)

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