Question

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question 1
rigid motions practice
describe the transformation. use decimals, if necessary.
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Explanation:

Step1: Determine the center of rotation

The center of rotation is the origin \(O(0,0)\) as the figure seems to rotate around this point.

Step2: Calculate the rotation angle

Count the number of quadrants the points move. Point \(B\) moves from \((- 1,1)\) to \((1,0)\). Using the concept of rotation in coordinate - plane, if we consider the standard position of points, the rotation is \(90^{\circ}\) clockwise. We can also check the general rule for rotation: for a point \((x,y)\) rotated \(90^{\circ}\) clockwise about the origin, the new point is \((y,-x)\). For example, if \(A(-3,3)\), after \(90^{\circ}\) clockwise rotation about the origin, using the formula \((x,y)\to(y, - x)\), we get \(A'(3,3)\) (matching the coordinate of \(A'\) in the graph if we assume the grid - based coordinates).

Answer:

The transformation is a \(90^{\circ}\) clockwise rotation about the origin.