To demonstrate congruent triangles, let's first define congruence: Two triangles are **congruent** if they have the same shape and size, meaning their corresponding sides and angles are equal.

Here’s an example of two congruent triangles:
- Triangle \( ABC \)
- Triangle \( DEF \)

### Corresponding parts:
- Side \( AB = DE \)
- Side \( BC = EF \)
- Side \( AC = DF \)
- Angle \( \angle A = \angle D \)
- Angle \( \angle B = \angle E \)
- Angle \( \angle C = \angle F \)

There are several ways to prove that two triangles are congruent, including:
1. **SSS** (Side-Side-Side): All three corresponding sides are equal.
2. **SAS** (Side-Angle-Side): Two sides and the angle between them are equal.
3. **ASA** (Angle-Side-Angle): Two angles and the side between them are equal.
4. **AAS** (Angle-Angle-Side): Two angles and a non-included side are equal.
5. **RHS** (Right-angle-Hypotenuse-Side): For right triangles, if the hypotenuse and one side are equal.

Would you like a visual example or more details about one of these methods?

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Here are five related questions:
1. How do you apply the **SSS** rule to prove triangle congruence?
2. Can you explain the **SAS** rule with an example?
3. What is the significance of the **ASA** rule in triangle congruence?
4. How does the **AAS** rule differ from **ASA**?
5. Why is the **RHS** rule specific to right triangles?

**Tip:** When checking for congruence, always ensure you compare corresponding sides and angles correctly!

Learn how to identify congruent triangles using methods like SSS, SAS, ASA, AAS, and RHS. Understand key geometric concepts and formulas for proving triangle congruence. Ideal for students in Grades 7-10.

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