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

2.

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

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

3.

Statement 5 is true because of what principle?

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

4.

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

Identity Property Reflexive Property Symmetric Property Transitive Property

5.

What previous theorem/postulate made statement 7 correct?

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

6.

Therefore, 𝛥𝐴𝐷𝐵∼𝛥𝐴𝐵𝐶∼𝛥𝐴𝐶𝐷 by?

AA Similarity Postulate Transitive Property Symmetric Property Right Triangle Similarity Theorem

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