Congruence is a term used in geometry to describe the relationship between two figures with the same shape and size. If two figures are said to be congruent, they have the exact dimensions and angles and can be transformed into each other through a combination of rotations, translations, and reflections.

You must compare their sides and angles to determine if the two figures are congruent. If all of the corresponding sides and angles are equal, then the figures are congruent.

There are several methods to prove that two figures are congruent. One common way is using the SSS (side-side-side) congruence criteria, which states that if the three sides of a triangle are congruent to the three sides of another triangle, the triangles are congruent.

Another method uses the SAS (side-angle-side) congruence criteria, which states that if two sides and an included angle of one triangle are said to be congruent to two sides and an included angle of another triangle, the triangles are congruent.

There are other congruence criteria as well, such as ASA (angle-side-angle), AAS (angle-angle-side), and HL (hypotenuse-leg) criteria.

Overall, understanding congruence is essential in geometry, as it allows you to determine when two figures are the same size and shape, which is helpful in many different contexts, including construction, engineering, and architecture.



Congruence Revision Quiz

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