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In the image, two triangles are shown, and the question asks whether these triangles are congruent.

Based on the markings:
1. Two sides in each triangle are marked as equal (indicated by the double and single tick marks on the sides).
2. The triangles share a common side.

This suggests the use of the **Side-Side-Side (SSS) Congruence Postulate**, which states that if three sides of one triangle are congruent to three sides of another triangle, then the two triangles are congruent.

Thus, the correct response is that the triangles **are congruent** by the **SSS congruence criterion**.

Would you like further details on congruence postulates or any questions on this? Here are some related questions:

1. What are the different methods to prove triangle congruence?
2. How does the Side-Angle-Side (SAS) postulate differ from the SSS postulate?
3. Can triangles be similar but not congruent?
4. How can you prove congruence using angles in triangles?
5. What role does the reflexive property play in triangle congruence?

**Tip:** Always look for marked sides or angles when determining congruence in geometry problems.

Determine if the two triangles shown are congruent. Choose the correct response from the drop-down selection.

Learn how to determine whether two triangles are congruent using the Side-Side-Side (SSS) congruence postulate. This geometry problem includes marked side lengths and requires an understanding of congruence theorems. Suitable for Grades 8-10.

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