Welcome to the fun world of congruence in geometry!

When we talk about congruent figures, we mean shapes that are exactly the same in every way, except for where they are. Let's look at the important features of congruent figures!

1. Equal Dimensions: Congruent figures are the same size and shape!

   This means that all the sides that match up are the same length.

   It also means all the angles that match are the same size.

   For example, if two triangles are congruent, we can say that side $AB$ is the same length as side $DE$, side $BC$ is the same as $EF$, and side $CA$ is the same as $FD$.

2. Corresponding Parts: Each part of one figure matches with one part of the other.

   For instance, if triangle $ABC$ is congruent to triangle $DEF$, then angle $A$ matches angle $D$, angle $B$ matches angle $E$, and angle $C$ matches angle $F$.

3. Transformations: Congruent figures can change into one another in these ways:

   • Reflections: This means flipping the figure over a line.
   • Rotations: This means turning the figure around a point.
   • Translations: This means sliding the figure from one spot to another.

4. Notation: We use the symbol “≅” to show congruence.

   So if we write triangle $ABC \cong DEF$, it means they are congruent!

These properties help us not only find congruent figures but also solve tricky geometry problems!

Keep exploring, and let’s make learning about shapes an exciting adventure! 🌟