Question

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.?

Answer 1

Answer:

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

Step-by-step explanation:

Answer 2

Similar triangles may or may not be congruent.

• The reason for $\mathbf{ONL = MLN}$ is HL (hypotenuse leg)
• The reason for $\mathbf{LM = NP}$ 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 $\mathbf{ONL = MLN}$ is HL (hypotenuse leg)

Also, $\mathbf{ONL = MLN}$ means that:

$\mathbf{ON \cong ML}$

$\mathbf{OL \cong MN}$

$\mathbf{NL \cong LN}$

This means that sides LM and NO are corresponding sides.

So, the reason for $\mathbf{LM = NP}$ is CPCTC

Read more about congruent triangles at:

https://brainly.com/question/14150585