Question

1. choose the correct answer(s). which of the transformations does not preserve orientation of the vertices? reflections translations dilations rotations

Explanation:

To determine which transformation does not preserve orientation, we analyze each:

• Reflections: A reflection (like flipping a figure over a line) reverses the orientation (e.g., a clockwise sequence becomes counterclockwise).
• Translations: Shifting a figure without rotating or flipping preserves orientation.
• Dilations: Resizing a figure (scaling) does not change the direction of vertices’ order, so orientation is preserved (though size changes).
• Rotations: Turning a figure around a point preserves the cyclic order of vertices, so orientation is preserved.

Thus, reflections do not preserve orientation. Dilations, while not rigid transformations, still preserve the "direction" of the vertex order (orientation), so the key non - orientation - preserving transformation here is reflections.

Answer:

A. reflections