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MathNet 2026 — Part 10 Question 25

Math Olympiad Vault · MathNet 2026 — Part 10

Question 25

Let $X$, $Y$, and $Z$ be points on one side of a line $AB$ such that
$$
\triangle XAB \sim \triangle BYA \sim \triangle ABZ
$$
Prove that $\triangle XYZ$ is similar to all these triangles.