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I need help with this proof, I will give 20 points and brainliest to the person to answer correctly!

Given: ONL=MLN, O and M are right angles
Prove: LM=NO

Statements:
1.ONL=MLN, O and M are right angles
2. O=M
3. LN=LN
4. ONL=MLN
5. LM=NP

Reasons:
1. Given
2. All right angles are congruent
3. Reflexive Property of Congruence
4.?
5.?

Respuesta :

ami7leading

Answer:

4 is given but also HL or SAS and 5 is CPCTC

Step-by-step explanation:


MrRoyal

Similar triangles may or may not be congruent.

  • The reason for [tex]\mathbf{ONL = MLN}[/tex] is HL (hypotenuse leg)
  • The reason for [tex]\mathbf{LM = NP}[/tex] is CPCTC

From the question, we understand that:

The triangles are right-angled at points M and O

This means that, the hypotenuse legs of the triangles is: LN

So, the reason for [tex]\mathbf{ONL = MLN}[/tex] is HL (hypotenuse leg)

Also, [tex]\mathbf{ONL = MLN}[/tex] means that:

[tex]\mathbf{ON \cong ML}[/tex]

[tex]\mathbf{OL \cong MN}[/tex]

[tex]\mathbf{NL \cong LN}[/tex]

This means that sides LM and NO are corresponding sides.

So, the reason for [tex]\mathbf{LM = NP}[/tex] is CPCTC

Read more about congruent triangles at:

https://brainly.com/question/14150585

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