Let-ABC-be-a-triangle-and-B-be-the-reflection-of-B-in-the-line-CA-and-C-be-reflection-of-C-in-the-line-AB-Prove-that-ABC-ACB-ABC-

Tinku Tara June 4, 2023 Geometry 0 Comments

Question Number 23871 by Tinkutara last updated on 08/Nov/17

Let ABC be a triangle and B′ be the reflection of B in the line CA and C′ be reflection of C in the line AB. Prove that ΔABC′ ≅ ΔACB′ ≅ ΔABC.

$$\mathrm{Let}\:{ABC}\:\mathrm{be}\:\mathrm{a}\:\mathrm{triangle}\:\mathrm{and}\:{B}'\:\mathrm{be}\:\mathrm{the} \\ $$$$\mathrm{reflection}\:\mathrm{of}\:{B}\:\mathrm{in}\:\mathrm{the}\:\mathrm{line}\:{CA}\:\mathrm{and}\:{C}'\:\mathrm{be} \\ $$$$\mathrm{reflection}\:\mathrm{of}\:{C}\:\mathrm{in}\:\mathrm{the}\:\mathrm{line}\:{AB}.\:\mathrm{Prove} \\ $$$$\mathrm{that}\:\Delta{ABC}'\:\cong\:\Delta{ACB}'\:\cong\:\Delta{ABC}. \\ $$

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Let-ABC-be-a-triangle-and-B-be-the-reflection-of-B-in-the-line-CA-and-C-be-reflection-of-C-in-the-line-AB-Prove-that-ABC-ACB-ABC-

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