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While making a square root spiral, at what angle is the (1) unit perpendicular line drawn?

Answer and explanation

Correct answer: \(90^\circ\)

In a square root spiral, each new triangle must be a right-angled triangle. Therefore, the 1-unit perpendicular segment is drawn at \(90^\circ\) to the previous side. A line at \(60^\circ\) or \(45^\circ\) would not be perpendicular and would not form the required right triangle. Exam tip: the word “perpendicular” always indicates an angle of \(90^\circ\).

Related tags

Number SystemsSquare Root SpiralPerpendicular LinesRight TrianglesGeometryMathematicsClass 9 Mcq

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