Question

the triangles are congruent by sss and hl. which transformation(s) can be used to map △rst onto △vwx? reflection only translation only reflection, then translation rotation, then translation

Explanation:

Step1: Analyze reflection

A reflection flips a figure over a line. If we reflect \(\triangle RST\) over an appropriate vertical line (to align the orientation of the right - angles and the side lengths), it can start to match the orientation of \(\triangle VWX\).

Step2: Analyze translation

After reflection, a translation (a slide) is needed. Translation moves the figure without rotating or resizing it. We need to move the reflected \(\triangle RST\) so that its vertices match the vertices of \(\triangle VWX\) (for example, moving the reflected \(T\) - like vertex to the \(V\) - like position, the reflected \(R\) - like vertex to the \(W\) - like position and the reflected \(S\) - like vertex to the \(X\) - like position).

Answer:

reflection, then translation