Questions: State if the triangles are congruent and how you know.
Transcript text: State if the triangles are congruent and how you know.
Solution
Solution Steps
Step 1: Identify the Given Information
The problem provides two triangles with markings indicating that all three corresponding sides are equal.
Step 2: Apply the SSS Congruence Postulate
The Side-Side-Side (SSS) Congruence Postulate states that if three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.
Step 3: Verify the Congruence
Since all three sides of the first triangle are marked as equal to the corresponding sides of the second triangle, we can conclude that the triangles are congruent by the SSS Congruence Postulate.
Final Answer
The triangles are congruent because all three corresponding sides are equal, satisfying the SSS Congruence Postulate.