Questions: Using Triangle Congruence Theorems Quiz Consider the diagram.

Using Triangle Congruence Theorems Quiz Consider the diagram.
Transcript text: Using Triangle Congruence Theorems Quiz Consider the diagram.
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Solution

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Solution Steps

Step 1: Analyze the given diagram

The diagram shows two triangles, ΔLON and ΔLMN, sharing the side LN. The markings on the diagram indicate that LO ≅ LM and NO ≅ NM.

Step 2: Identify the congruent sides

Based on the markings, the following sides are congruent:

  • LO ≅ LM
  • NO ≅ NM
  • LN ≅ LN (LN is a common side to both triangles)
Step 3: Determine the appropriate congruence theorem

Since all three corresponding sides of the two triangles are congruent, the Side-Side-Side (SSS) congruence theorem applies.

Final Answer: SSS

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