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05-10-2019
Mathematics

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The fourth question

The fourth question class=

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MathPhys MathPhys

05-10-2019

Step-by-step explanation:

Given:

AD is the bisector of ∠BAC

∠CPD = ∠BPD

1) ∠CAP = ∠BAP

Reason: definition of angle bisector

2) ∠CPD = 180 − ∠APC, ∠BPD = 180 − ∠APB

Reason: definition of supplementary angles

3) 180 − ∠APC = 180 − ∠APB

Reason: substitution

4) ∠APC = ∠APB

Reason: algebra

5) AP = AP

Reason: reflexive property

6) ΔAPC ≅ ΔAPB

Reason: ASA congruence

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