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which of the following figures shows a ¹/₄ - turn in the clockwise dire…

Question

which of the following figures shows a ¹/₄ - turn in the clockwise direction?
r
(i) (ii)
(iii) (iv)
○ (i)
○ (ii)
○ (iii)
○ (iv)

Explanation:

Step1: Understand 1/4 clockwise turn

A \( \frac{1}{4} \)-turn clockwise means rotating the original figure (letter R) by \( 90^\circ \) in the clockwise direction.

Step2: Analyze each figure

  • Figure (i): Check the orientation. It does not match a \( 90^\circ \) clockwise rotation of R.
  • Figure (ii): Check the orientation. It does not match a \( 90^\circ \) clockwise rotation of R.
  • Figure (iii): When we rotate the original R \( 90^\circ \) clockwise, the resulting shape should match figure (iii). Let's visualize: the vertical part of R (the stem) would turn horizontal to the right, and the curved part would adjust accordingly. This matches figure (iii).
  • Figure (iv): Check the orientation. It does not match a \( 90^\circ \) clockwise rotation of R.

Answer:

(iii)