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Use the protractor to determine which of the following rotations of line segment AB about point A (rounded to the nearest degree) will map the figure onto itself.
135° clockwise about point A
154° clockwise about point A
90° clockwise about point A
120° clockwise about point A
To determine which rotations of line segment AB about point A will map the figure onto itself, we need to consider symmetrical properties of the figure.
Typically, for a figure to map onto itself with a rotation, the angle of rotation must be a divisor of 360° that corresponds to the symmetry of the shape. For instance:
– 135° does not divide 360° evenly.
– 154° does not divide 360° evenly.
– 90° is a divisor of 360° (360°/90° = 4), which means the figure can map onto itself with this rotation.
– 120° does not map the figure onto itself, as 360°/120° = 3.
Therefore, the correct answer is:
90° clockwise about point A.
This is because it maintains the figure’s symmetry, allowing it to map onto itself with that rotation. If you have any further questions or need more information, feel free to ask!