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The diagram you've provided shows two triangles, \( \triangle TNW \) and \( \triangle HCL \), marked with hash symbols on two pairs of corresponding sides and one pair of corresponding angles. This marking suggests that the sides \( TN \) and \( HC \), \( NW \) and \( CL \), and the angle \( \angle TNW \) and \( \angle HCL \) are congruent. Based on this, we can apply the Side-Angle-Side (SAS) postulate of congruence, which states that two triangles are congruent if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle.

The corresponding congruent parts identified are:
- \( TN \cong HC \)
- \( NW \cong CL \)
- \( \angle TNW \cong \angle HCL \)

From the provided options, the correct statement that reflects this congruence according to the SAS postulate is:
**D. \( \triangle WTN \cong \triangle HCL \)**

Would you like to know more about triangle congruence or have any other math-related questions?

Here are some related topics you might find interesting:
1. How can you prove the congruence of triangles using the Angle-Side-Angle (ASA) postulate?
2. What is the Hypotenuse-Leg (HL) theorem and how does it apply to right triangles?
3. Can you prove two triangles are congruent using the Side-Side-Side (SSS) postulate?
4. How do the properties of congruent triangles apply in real-world situations?
5. What are some common mistakes to avoid when proving triangles congruent?

**Tip:** Always check that the angle included between the two sides you are comparing is the same for both triangles when using the SAS postulate for proving triangle congruence.

Which statement is correct? A diagram shows two triangles, TNW and HCL, marked with hash symbols on two pairs of corresponding sides and one pair of corresponding angles.

Learn how to determine which triangles are congruent based on the Side-Angle-Side (SAS) Postulate using the congruence of triangles TNW and HCL. This math problem is suitable for students in Grades 7-10 and includes a step-by-step explanation.

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