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How can you tell when one figure is a reflection of another figure?
When you exchange the x and y values it creates a reflection.
Displacement rotation of a geometrical figure in maths?
In mathematics, displacement rotation refers to moving a geometrical figure from one location to another while simultaneously rotating it around a fixed point. This transformation involves both translation (changing the position of the figure) and rotation (changing the orientation of the figure). The displacement component involves shifting the figure horizontally and vertically, while the rotation component involves turning the figure around a specific point by a certain angle. This combined transformation results in a new position and orientation of the original figure.
The diagonals are equal in length and bisect one another?
The figure is a rectangle.
What is a mathematical operation that changes one figure into another figure?
A mapping. It need not be a function or a formula since these have additional requirements that are not part of this question.
How can you describe figure that have the same shape and are the same size?
They are said to be congruent with one another
