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To solve this problem, we need to identify which two triangles are congruent by using the **Side-Side-Side (SSS) Theorem**. According to the SSS Theorem, two triangles are congruent if all three sides of one triangle are equal in length to all three sides of the other triangle.

Looking at the triangles:

1. Triangle \( \triangle GIH \) has three sides marked with the following:
   - \( \overline{GI} \) has three tick marks.
   - \( \overline{IH} \) has two tick marks.
   - \( \overline{GH} \) has one tick mark.

2. Triangle \( \triangle BCD \) has three sides marked as:
   - \( \overline{BC} \) has two tick marks.
   - \( \overline{CD} \) has one tick mark.
   - \( \overline{BD} \) has three tick marks.

3. Triangle \( \triangle WXY \) has three sides marked:
   - \( \overline{WX} \) has two tick marks.
   - \( \overline{XY} \) has one tick mark.
   - \( \overline{WY} \) has three tick marks.

### Congruence Conclusion:

By comparing the side markings of these triangles, we observe that:

- Triangle \( \triangle GIH \) and Triangle \( \triangle WXY \) have matching side lengths:
  - \( \overline{GI} \) corresponds to \( \overline{WY} \) (both with three tick marks).
  - \( \overline{IH} \) corresponds to \( \overline{WX} \) (both with two tick marks).
  - \( \overline{GH} \) corresponds to \( \overline{XY} \) (both with one tick mark).

Thus, the two congruent triangles are \( \triangle GIH \) and \( \triangle WXY \).

The congruence statement is:
\[
\triangle GIH \cong \triangle WXY
\]

Would you like any further details or clarifications?

### Related Questions:
1. What is the SSS Theorem, and how does it prove triangle congruence?
2. Can two triangles be congruent if only two sides and one angle are equal?
3. What are other triangle congruence theorems besides SSS?
4. How do markings on triangles help in identifying congruence?
5. What happens if two triangles have all angles equal but sides are not?

### Tip:
When using the SSS Theorem, always ensure that corresponding sides are matched in the correct order before concluding congruence.

Which two triangles are congruent by the SSS Theorem? Complete the congruence statement.

Learn how to identify congruent triangles using the Side-Side-Side (SSS) Theorem. This problem demonstrates how to match side lengths and complete the congruence statement for triangles GIH and WXY. Suitable for students in Grades 8-10.

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