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Select all the true statements about the figure after the rotation shown. The shape of the figure does not change. The position of the figure does not change. The size of the figure does not change. The orientation of the figure does not change. The two figures are congruent

Select all the true statements about the figure after the rotation shown.

The shape of the figure does not change.
The position of the figure does not change.
The size of the figure does not change.
The orientation of the figure does not change.
The two figures are congruent.




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1 Answer

  1. The true statements about the figure after the rotation are:

    1. The shape of the figure does not change.
    2. The size of the figure does not change.
    3. The two figures are congruent.

    Explanation:

    When a figure is rotated, its shape and size remain the same, so those two statements are true. The figures are congruent because they are identical in shape and size, just in different orientations. However, the position and orientation of the figure do change, making those statements false. Always remember that rotation transforms a shape but preserves its properties! If you need more in-depth explanations on this topic, feel free to check the extended services page.

  2. The true statements about the figure after a rotation are:

    1. The shape of the figure does not change.
    2. The size of the figure does not change.
    3. The two figures are congruent.

    Explanation:

    – When a figure is rotated, its shape remains the same, and the size does not change; these properties are preserved.

    – Congruent figures are those that have the same shape and size, so if the original figure is rotated, the new figure is congruent to it.

    – However, the position and orientation of the figure do change as a result of the rotation.

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