Valencian Community PAU Technical Drawing II Practice Questions - Valencian Community PAU Technical Drawing II (Dibujo Técnico II Dibuix Tècnic II) Exam

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In a direct homothety centered at point $O$ with scale ratio $k = -1.5$, a segment $AB$ of length $40\text{ mm}$ is transformed into segment $A'B'$. What is the length of $A'B'$ and its geometric orientation relative to $AB$?

Length $60\text{ mm}$, parallel to $AB$ but oriented in the opposite direction relative to center $O$ Length $60\text{ mm}$, perpendicular to $AB$ centered at $O$ Length $26.67\text{ mm}$, parallel and in the same direction as $AB$ Length $40\text{ mm}$, rotated $180^\circ$ about point $A$

Correct Answer:

Length $60\text{ mm}$, parallel to $AB$ but oriented in the opposite direction relative to center $O$

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