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A composition of 2 reflections around the same center over intersecting lines results in Rotation. TRUE /FALSE?

User RamithDR
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Final answer:

The statement about a composition of 2 reflections around the same center over intersecting lines resulting in rotation is TRUE, as it equates to a single rotation around the intersection point.

Step-by-step explanation:

A composition of 2 reflections around the same center over intersecting lines resulting in rotation is TRUE. When two lines intersect and a point or figure is reflected over one line and then again over the other line, the composite effect is the same as a single rotation around the point of intersection. The angle of rotation is twice the angle between the two lines, confirming that the composition of reflections over intersecting lines equates to a rotation.

No, a composition of 2 reflections around the same center over intersecting lines does not result in a rotation. When you reflect a figure over one line, it simply flips the figure. If you then reflect the flipped figure over a second line, it will once again flip the figure. The result is not a rotation but rather a transformation that changes the orientation of the figure.

User Ritesh Adulkar
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8.8k points
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