Congruent Shapes

In mathematics, congruent shapes are shapes that have the same size and shape. This means that if you were to place one shape on top of the other, they would perfectly overlap. Congruent shapes are identical in every way, including their angles and side lengths.

When comparing two shapes to see if they are congruent, you can use a few different methods:

1. Side-Length Comparison: You can measure the sides of the shapes and compare their lengths. If all corresponding sides are equal, then the shapes are congruent.
2. Angle Comparison: You can compare the angles of the shapes. If all corresponding angles are equal, then the shapes are congruent.
3. Overlapping: You can physically place one shape on top of the other to see if they overlap perfectly. If they do, then the shapes are congruent.

It's important to note that congruent shapes can be in different orientations or positions. As long as the shapes have the same size and shape, they are considered congruent.

When working with congruent shapes, it's common to use the symbol ≅ to represent congruence. For example, if shape A is congruent to shape B, it would be written as A ≅ B.

Understanding congruent shapes is important in geometry and can be used to identify and classify different types of shapes and figures.

Overall, congruent shapes are identical in every way and provide a fundamental concept in the study of geometry.

[Congruent Shapes] Related Worksheets and Study Guides:

• ShapesMathematics • Third Grade
• Congruent ShapesMathematics • Fifth Grade
• Plane Figures: Closed Figure RelationshipsMathematics • Seventh Grade