Question

a transformation is shown in the diagram. which transformation is shown? quadrilateral defg is translated to form quadrilateral defg. quadrilateral defg is rotated to form quadrilateral defg. quadrilateral defg is reflected to form quadrilateral defg. quadrilateral defg is dilated to form quadrilateral defg.

Explanation:

To determine the transformation, we analyze each option:

• Translation: Involves sliding without rotation/reflection. The orientation here changed, so not translation.
• Rotation: A turn around a point. The quadrilateral’s orientation (angle) changed, consistent with rotation (e.g., a turn to make it vertical from horizontal).
• Reflection: A flip over a line, which would create a mirror image. The diagram does not show a mirror - like flip.
• Dilation: Resizing (scaling). The quadrilateral’s size appears unchanged, so not dilation.

So the transformation is rotation.

Answer:

Quadrilateral DEFG is rotated to form quadrilateral D'E'F'G'.