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Brut [27]
3 years ago
14

I NEED HELP NOW PLEASE!!!! Can you please help me fill out the blanks? I am in need of assistance. I will mark the BRAINLIEST to

the first person who answers correctly.
Provide statements and reasons for the proof of the triangle angle bisector theorem.

Given: BD bisects ABC. Auxiliary EA is drawn such that EA | | BD. Auxiliary BE is an extension of BC.
Prove: AD/DC = AB/BC

You will receive 30 points for answering correctly.

Mathematics
1 answer:
Sladkaya [172]3 years ago
3 0
10 parts of answers
---------------------------

Statement number (2)
From (1) ⇒ BD bisects ∠ABC ⇒ Definition of angle bisects
==========================================
Statement number (3)
Given information 
===========================================
Statement number (4)
Corresponding angles are congruent
=============================================
Statement number (5)
From (2) and (4) ⇒ Transitive property of quality 
=============================================
Statement number (6)
Alternative angles are congruent 
=============================================

Statement number (7)
From (5) and (6) ⇒ Transitive property of quality 
=============================================
Statement number (8)
From (7) ⇒ Δ ABE is an isosceles triangle 
==============================================
Statement number (9)
From (8) ⇒ Definition of the isosceles triangle.
===============================================

Statement number (10)

From (3) ⇒ Triangle proportionality theorem
================================================
Statement number (11)
From (9) and (10) ⇒ Substitution property of equality.

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