Congruence

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Discovering the Magic of SSS and SAS Congruence in Triangles

Discovering the Magic of SSS and SAS Congruence in Triangles

Ensure you know the lengths of all three sides of both triangles. Compare each corresponding side. If all three sides in one triangle are equal in length to the three sides of the other triangle, the two triangles are congruent. Ensure you know the lengths of two sides and the magnitude of the included angle […]

HL Congruence: The Special Case of Right Triangles

HL Congruence: The Special Case of Right Triangles

Ensure that both triangles in question are right triangles. Identify and compare the lengths of the hypotenuses and one of the legs of both triangles. If both the hypotenuse and one leg are of equal length in the two triangles, then they are congruent by the HL theorem. Examples Practice Questions: Are right triangles with […]

Discovering the Magic of ASA and AAS Congruence in Triangles

Discovering the Magic of ASA and AAS Congruence in Triangles

How to Understand Congruence through Rigid Motion Transformations

How to Understand Congruence through Rigid Motion Transformations

Exploring the Fundamentals: Properties of Equality and Congruence in Geometry

Exploring the Fundamentals: Properties of Equality and Congruence in Geometry