Pregunta
What is the image of the point \( (3,-6) \) after a rotation of \( 180^{\circ} \) counterclockwise about the origin?
Ask by Huang Pena. in the United States
Mar 10,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The image of the point \((3, -6)\) after a \(180^\circ\) rotation is \((-3, 6)\).
Solución
1. A \(180^\circ\) rotation about the origin transforms any point \((x, y)\) to \((-x, -y)\).
2. Given the point \((3, -6)\), we apply the transformation:
\[
(3, -6) \to (-3, 6)
\]
3. Therefore, the image of the point \((3, -6)\) after a \(180^\circ\) rotation is \((-3, 6)\).
Respondido por UpStudy AI y revisado por un tutor profesional
Como
error msg
Explicar 
Simplifique esta solución The Deep Dive
To find the image of the point \( (3, -6) \) after a rotation of \( 180^{\circ} \) counterclockwise about the origin, we can apply the rotation transformation. A \( 180^{\circ} \) rotation about the origin effectively negates both the x-coordinate and y-coordinate of the point. Therefore, we calculate: \[ (3, -6) \rightarrow (-3, 6) \] Thus, the image of the point \( (3, -6) \) after the rotation is \( \boxed{(-3, 6)} \).
preguntas relacionadas
¡Prueba Premium ahora!
¡Prueba Premium y hazle a Thoth AI preguntas de matemáticas ilimitadas ahora!
Quizas mas tarde
Hazte Premium
