Geometry

Question Analysis

This question focuses on identifying which transformation will map a quadrilateral symmetric about the origin onto itself, testing understanding of rotation, dilation, reflection, and translation notations.

Key Concept Explanation

Rotation (): Rotates a figure around the origin by angle .

Dilation (): Changes the size of a figure with origin as the center, where is the scale factor.

Reflection: Flips a figure across an axis.

Translation: Moves a figure by a fixed vector.

Step-by-Step Solution

1. Analyze each option:

A.: A 100 - degree rotation changes the orientation, won't map the quadrilateral onto itself.

B. then reflection across the - axis: Dilation changes size, reflection changes orientation,  won't map to itself.

C.

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