Name figures that have both line symmetry and rotational symmetry.

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Equilateral triangle

Rectangle

both

none

answer is C.

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Detailed Solution

Figure given in option 1 is equilateral triangle.
Question Image

In equilateral triangle, all the sides and angles are equal. The figure has three lines of symmetry.
As, in equilateral triangle each angle is equal to 60 degrees, and we can obtain the same figure thrice in a complete rotation. Thus, it has rotational symmetry of order three.
Rectangle: -
Question Image

In rectangle, opposite sides are equal in measure. The figure has two line of symmetry which cuts its opposite side into equal parts.
As, rectangle map onto itself twice in a complete rotation. Thus, it has rotational symmetry of order two.
Thus, option 3 is Correct.

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