Congruency In Geometry: Exploring Equality Of Shapes And Sizes

Congruent

shapes that have the same size, shape or measure

In geometry, congruent refers to two or more objects that are identical in shape and size. Two objects are said to be congruent if their corresponding angles and sides are equal. Congruence is denoted by a ≅ b, where a and b are the objects being compared.

For example, if a triangle ABC is congruent to a triangle DEF, then all three corresponding sides and angles of triangle ABC are equal to the corresponding sides and angles of triangle DEF. This means that angle A is congruent to angle D, side AB is congruent to side DE, side BC is congruent to side EF, and side AC is congruent to side DF.

The concept of congruence is important in many areas of mathematics, including geometry, trigonometry, and algebra. It allows us to compare geometric and algebraic expressions and understand the relationships between them.

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