Question

a parallelogram is shown below. line l intersects two vertices. line h bisects each side it passes through. point k is the center of the parallelogram. which transformation(s) must map the parallelogram onto itself? choose all that apply. reflection across line g reflection across line h clockwise rotation about k by 270° counter - clockwise rotation about k by 180° none of the above

Explanation:

Step1: Recall properties of parallelogram

A parallelogram has rotational symmetry of order 2 about its center. A 180 - degree rotation about the center of a parallelogram maps the parallelogram onto itself. A 270 - degree rotation about the center does not map it onto itself.

Step2: Analyze reflections

A general parallelogram (not a rectangle, rhombus or square) has no lines of symmetry. So, reflections across lines \(g\) and \(h\) will not map the parallelogram onto itself in most cases.

Answer:

None of the above