Question

Determine which postulate or theorem can be used to prove that lmn nol.

Answer 1

SSS

because of the red lines on the sides of the shapes. Those lines mean that the sides of congruent.

Answer 2

To prove ΔLMN ≅ ΔNOL, SSS postulate of triangle congruence is used.

What are congruent triangles?

`"Two triangles are said to be congruent if all three corresponding sides are equal and all the three corresponding angles are equal."

What is SSS postulate of triangle congruence?

"If the three sides of one triangle are equal to the corresponding three sides (SSS) of the other triangle, then the two triangles are congruent."

What is AAS postulate of triangle congruence?

"If two angles and a non-included side of a triangle are equal to the corresponding two angles and a side of the other triangle, then the two triangles are congruent."

What is SAS postulate of triangle congruence?

"When any two sides and the angle included between the sides of one triangle are equal to the corresponding two sides and the angle included between the sides of the other triangle, then the two triangles are congruent."

What is ASA postulate of triangle congruence?

"When any two angles and the side included between them of one triangle are equal to the corresponding two angles and the side included between them of the other triangle, then the two triangles are congruent."

For given question,

To prove ΔLMN ≅ ΔNOL

We can observe that,

for ΔLMN and ΔNOL,

LM = ON

and OL = MN

Also, side LM is common for both the triangles.

So, by SSS postulates,

ΔLMN ≅ ΔNOL

Therefore, to prove ΔLMN ≅ ΔNOL, SSS postulate of triangle congruence is used.

Learn more about triangle congruence postulates here:

https://brainly.com/question/11034038

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