Question

state whether the following is true or false. a rhombus in the cartesian plan is reflected over the y axis. after it has been reflected, the lengths of the sides of the rhombus will have tripled.

Explanation:

Step1: Recall the property of reflection

Reflection is a rigid transformation. Rigid transformations (reflection, rotation, translation) preserve the shape and size of the figure.

Step2: Analyze the effect on side - lengths

When a rhombus (a quadrilateral with all sides equal) is reflected over the \(y\) - axis (a type of reflection), the lengths of its sides do not change. Tripling the side - lengths would imply a non - rigid transformation (a dilation), which is not a reflection.

Answer:

False