alleryAn improper rotation is the result of reflecting in how many hyperplanes through the origin?
AAn odd number
BAn even number
CExactly two
DExactly zero
Answer & Solution
Correct answer: A. An odd number
1. Every rotation is made from an even number of reflections.
2. An improper rotation flips orientation, so it needs an odd number of reflections.
3. Exactly two or zero are even counts, which give proper rotations.
_Source: Wikipedia, Reflection (mathematics), section Properties_
Keep practising Symmetry
Browse all Symmetry questions for CTET, or explore more Mathematics topics.
Related questions
Sliding every point of an object by the same distance leaves its shape unchanged under whiWhich symmetry applies to an object that looks unchanged when turned about a fixed point?An equilateral triangle has how many lines of reflection symmetry?Mirror planes cut a cube into matching halves. How many such planes exist?A kite's line of symmetry cuts it into two triangles that are what?In a kite, the diagonal that is the axis of symmetry is the perpendicular bisector of whatIn a kite, the diagonal along the symmetry axis does what to the angles at its ends?How are rhombi and kites related?