Discuss 3 ways a shape can change or transform into congruent shape. Make sure you motivate your discussion with drawing?

1. Rotation: A shape can be transformed into a congruent shape by rotating it around a fixed point. For example, a square can be rotated 90 degrees clockwise to create a congruent square. This transformation preserves the size and shape of the original shape.

2. Reflection: A shape can also be transformed into a congruent shape by reflecting it across a line of symmetry. For example, a triangle can be reflected across a vertical line to create a congruent triangle. This transformation flips the shape over the line of symmetry while preserving its size and shape.

3. Translation: A shape can be transformed into a congruent shape by translating it along a straight path without rotating or reflecting it. For example, a rectangle can be translated horizontally to create a congruent rectangle in a different position. This transformation preserves the size and shape of the original shape while simply moving it to a new location.

By using these three transformations - rotation, reflection, and translation - a shape can be changed or transformed into a congruent shape while maintaining its original size and shape. These transformations are fundamental concepts in geometry and can be visually represented through drawings to illustrate the changes in shape.

1. Translation

- Description: Moving a shape from one point to another without changing its size or shape.
- Drawing:
```
BEFORE AFTER
+---+ +---+
| | | |
+---+ +---+

```

2. Rotation

- Description: Turning a shape around a fixed point without changing its size or shape.
- Drawing:
```
BEFORE AFTER
+---+ +---+
| | | |
+---+ +---+
| | | |
+---+ +---+

```

3. Reflection

- Description: Flipping a shape over a line (axis of symmetry) without changing its size or shape.
- Drawing:
```
BEFORE AFTER
+---+ +---+
| | | |
+- -+ +- -+
| | | |
+---+ +---+
| | | |
+---+ +---+

```