Question

a transformation of \\( \triangle stv \\) results in \\( \triangle utv \\). which transformation maps the pre - image to the image? dilation reflection rotation translation

Explanation:

• A dilation changes the size of a figure. But here, the size of \(\triangle STV\) and \(\triangle UTV\) seems to be the same (as per the markings of equal - sides and angles in a typical geometric figure representation).
• A rotation turns a figure around a point. There is no indication of turning in the given transformation from \(\triangle STV\) to \(\triangle UTV\).
• A translation slides a figure. There is no indication of sliding in the given transformation from \(\triangle STV\) to \(\triangle UTV\).
• A reflection flips a figure over a line. If we consider the line \(TV\) as the line of reflection, \(\triangle STV\) is flipped over the line \(TV\) to get \(\triangle UTV\). The corresponding sides (marked with the same number of tick - marks) and angles (marked with the same arc - like symbols) are congruent, which is a property of reflection.

Answer:

reflection