Quadrilateral $$A^{\prime} B^{\prime} C^{\prime} D^{\prime}$$ is the result of reflecting quadrilateral $$A B C D$$ across the line $$I$$. ![](http://admin.getprephub.com/media/editor/tp7_20230125193515919831.png) Select the correct statement about the unchanged properties of quadrilateral $$A B C D$$ and quadrilateral $${A}^{\prime} {B}^{\prime} {C}^{\prime} {D}^{\prime}$$.

Answer Reflections preserve (keep the same) angle measures and segment lengths. Therefore, perimeter remains the same.So, The perimeters of quadrilateral $$A B C D$$ and quadrilateral $$A^{\prime} B^{\prime} C^{\prime} D^{\prime}$$ are the same and $$\overline{A D}$$ and $$\overline{A^{\prime} D^{\prime}}$$ have the same lengths. Reflections change the coordinates of every point in the figure except for those on the line of reflection. Therefore, since $$C$$ is on the line of reflection, so the reflection leaves its coordinates unchanged.so, $$C$$ and $$C^{\prime}$$ have the same coordinates.

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Quadrilateral $A^{\prime} B^{\prime} C^{\prime} D^{\prime}$ is the result of reflecting quadrilateral $A B C D$ across the line $I$ .

Select the correct statement about the unchanged properties of quadrilateral $A B C D$ and quadrilateral ${A}^{\prime} {B}^{\prime} {C}^{\prime} {D}^{\prime}$ .

Select all that apply :

The perimeters of quadrilateral $A B C D$ and quadrilateral $A^{\prime} B^{\prime} C^{\prime} D^{\prime}$ are the same.

$\overline{A D}$ and $\overline{A^{\prime} D^{\prime}}$ have the different lengths.

$C$ and ${C}^{\prime}$ have the different coordinates.

None of the above

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