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Which of the following transformations has the same result as a rotation of 90 degrees clockwise?

ARotation of 270 clockwise
BReflection of a horizontal line
CTranslation down and to the right .
DDilation to scale factor of 9

Verified Answer :

Rotation of any geometrical shape by 90 degree, takes the geometrical shape to Next Quadrant.

When we rotate, a geometrical shape , the shape and size of geometrical shape after Rotation does not change.That is the two,geometrical Images (Preimage and Image), before and after Rotation are Congruent.

Now, when we reflect a Geometrical Shape along a Horizontal line,it goes into next Quadrant and when reflection takes place along Horizontal line ,then also, the two Preimage and Image are Congruent.

In both the cases ,only two Adjacent Quadrants are used.

Option B

Reflection of a horizontal line

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raphealnwobi

A rotation of 90 degrees clockwise has the same result as a rotation of 270 degrees anticlockwise.

Transformation is the movement of a point form its initial location to a new location. Types of transformation are rotation, reflection, dilation and translation.

Rotation is the turning of a figure about a point, If point A(x, y) is rotated 90 degrees clockwise, the new point is at A'(y, -x).

If point A(x, y) is rotated 270 degrees anticlockwise, the new point is at A'(y, -x).

Hence, a rotation of 90 degrees clockwise has the same result as a rotation of 270 degrees anticlockwise.

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