Geometry

Question Analysis
This question involves Transformation notation. The main focus is on determining which transformation will map a quadrilateral onto itself.

Key Concept Explanation

Transformations include rotations ( where is the center of rotation and is the angle of rotation), dilations ( where is the center of dilation and is the scale factor), and translations (represented by a vector ). A transformation maps a figure onto itself when the pre - image and the image coincide exactly.

Step-by-Step Solution

1. Analyze each transformation:

A.For a rotation , each point of the quadrilateral is rotated 270 degrees counter - clockwise around the origin . This will change the position of the quadrilateral and  not map it onto itself.

B.For a dilation , the quadrilateral is dilated by a scale factor of - 2 with the origin as the center of dilation. The size and orientation of the quadrilateral will change,  and it will not map onto itself.

C.For a translation by

Click "Show Answer" to reveal the answer and analysis