What are the missing parts that correctly complete the proof?
Given: point P is on the bisector of ABC.
Prove: point P is equidistant from the sides of ABC.
1. BP is the bisector of ABC- given
2. ABP≈CBP- ?
3. BXP and BYP are right angles- given
4. ?- all right angles are congruent
5. BP≈BP- ?
6. BXP≈BYP- ?
7. ?- corresponding parts of congruent triangles are congruent
8. Point P is equidistant from the sides of ABC- definition of equidistant
Answers
Answer:
Hello, I just took the test today. I will attach a screenshot. I hope I am not too late answering your question.
This question stumped me too at first. I hope this helps!
The missing parts that correctly complete the proof are;
2) Definition of a bisector
4) ∠BXP ≅ ∠BYP.
5) Reflexive property of congruence.
6) AAS congruence theorem.
7) Corresponding sides of congruent triangles are congruent.
We are given;
Point P is on the bisector of ∠ABC.
2) ∠ABP ≅ ∠CBP; The symbol ≅ means congruent. This means they are equal and it is true because it corresponds with the definition of a bisector means dividing into 2 equal parts.4) All right angles are congruent; Congruent means equal and the two right angles we have in the image are; ∠BXP and ∠BYP. Thus, we can write; ∠BXP ≅ ∠BYP.5) BP ≅ BP; This means that Line BP is congruent and equal to itself and this fulfils the theorem called reflexive property of congruence.6) ΔBXP ≅ ΔBYP; This means ΔBXP is congruent to ΔBYP. Since we have established that ∠BXP ≅ ∠BYP; ∠ABP ≅ ∠CBP; BP ≅ BP. It means we have 2 corresponding angles and one corresponding side equal to each other from the 2 congruent triangles and so we can say this fulfils the AAS congruence theorem.7) PX ≅ PY; This means PX is congruent to PY. From congruence theorem, corresponding sides of congruent triangles are congruent.
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Answer:
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Step-by-step explanation:
x=adult
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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Answers
Answer:
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Answers
Answer:
Need a calculator
Step-by-step explanation:
This will be hard to explain without the ability to draw an example.
The one thing you can memorize is SOH - CAH - TOA
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You can do the exact same thing with the 60 degree angle.
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Answers
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Answers
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Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
Answer:
Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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