a It is a rotation about a point halfway between L and M. The angle of rotation
ID: 2260989 • Letter: A
Question
a
It is a rotation about a point halfway between L and M. The angle of rotation is 90 degrees clockwise.
b
It is a translation up and to the left. The distance of the translation is 2 times the distance between L and M.
c
It is a rotation about a point halfway between L and M. The angle of rotation is 90 degrees counterclockwise.
d
It is a rotation about a point halfway between L and M. The angle of rotation is 180 degrees clockwise.
e
It is a rotation about a point halfway between L and M. The angle of rotation is 180 degrees counterclockwise.
a
It is a rotation about a point halfway between L and M. The angle of rotation is 90 degrees clockwise.
b
It is a translation up and to the left. The distance of the translation is 2 times the distance between L and M.
c
It is a rotation about a point halfway between L and M. The angle of rotation is 90 degrees counterclockwise.
d
It is a rotation about a point halfway between L and M. The angle of rotation is 180 degrees clockwise.
e
It is a rotation about a point halfway between L and M. The angle of rotation is 180 degrees counterclockwise.
Explanation / Answer
Here A and B are parallel lines. And the reflection about A will rotate M by an angle of 90 in clockwise direction.
Then M is reflected through B. Reflection of reflected M through will be reflected through an angle of 90 in anticlockwise direction. Therewore the final M will be translated. As it has undergone two rotations at same angle but in opposite directions. Therefore there will cancel each other. Therefore final M is just translation of initial M.
And it is at a distance 2 times the distance between L and M.
Therefore option A is correct.
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