PROVE THE RIGHT TRIANGLE SIMILARITY THEOREM

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:

[br]

1.

What do you think is the reason for letter c?

Definition of perpendicular segments Definition of right angles Definition of altitude Definition of right triangles

2.

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

Right angles are congruent Definition of right angles Definition of midline Definition of perpendicular segments

3.

Statement 5 is true because of what principle?

Definition of right angles Right angles are complementary Right angles are supplementary Right angles are congruent

4.

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

Symmetric Property Identity Property Reflexive Property Transitive Property

5.

What previous theorem/postulate made statement 7 correct?

AA Similarity Postulate SSS Similarity Theorem SAS Similarity Theorem ASA Similarity Theorem

6.

Therefore, 𝛥𝐴𝐷𝐵∼𝛥𝐴𝐵𝐶∼𝛥𝐴𝐶𝐷 by?

Transitive Property AA Similarity Postulate Right Triangle Similarity Theorem Symmetric Property

7-15.

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

PROVE THE RIGHT TRIANGLE SIMILARITY THEOREM

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:

1.

2.

3.

4.

5.

6.

7-15.

Information: PROVE THE RIGHT TRIANGLE SIMILARITY THEOREM