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Home >> Triangle >> Congruent Triangles >> Corresponding Parts of Congruent Triangles >>

Corresponding Parts of Congruent Triangles

Rules of Congruent Triangles Corresponding Parts of Congruent Triangles



Before you study this topic; you are adviced to study

Congruence of Triangles

When two triangles are congruent, then their corresponding parts are also equal or same

So, when two lines, AB and XY are corresponding, they are represented as:
Line AB ↔ Line XY

When two angles, ∠ A and ∠ Y are corresponding, they are represented as:
∠ A ↔ ∠ X

When two vertices, A and Y are corresponding, they are represented as:
Vertex A ↔ Vertex X


Example: △ ABC and △ YXZ are congruent as per following correspondence:

ABC ↔ YXZ

Write which parts of △ YXZ corresponds to following parts of △ ABC:

Line AC
Line CB
Line CA
Line BA
∠ A
∠ B
∠ C

Solution: △ ABC and △ YXZ are congruent as per following correspondence; ABC ↔ YXZ, so the corresponding parts of △ YXZ are as:
Line AC ↔ Line YZ
Line CB ↔ Line ZX
Line CA ↔ Line ZY
Line BA ↔ Line XY

∠ A ↔ ∠ Y
∠ B ↔ ∠ X
∠ C ↔ ∠ Z

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