Question

what combination of transformations is shown below? translation, then reflection reflection, then translation reflection, then rotation translation, then rotation

Explanation:

1. First, analyze the transformation from figure 2 to figure 1: A reflection (flip) over a vertical or horizontal axis would align the orientation, and then a translation (slide) to move it to the position of figure 1. Alternatively, from figure 3 to 2: translation (moving down), then figure 2 to 1: reflection. Wait, let's check the orientations. Figure 2 and figure 1: if we reflect figure 2 over a vertical line, then translate? No, better: Figure 2 to figure 1: first, a reflection (to flip the orientation of the slanted side), then a translation? Wait, no. Wait, figure 3 to figure 2: translation (moving down). Then figure 2 to figure 1: reflection (since the slanted side is now on the other side). Wait, the options: "translation, then reflection" – let's see. Figure 3 (top) to figure 2 (bottom left): translation (down). Then figure 2 to figure 1 (bottom right): reflection over a vertical line. So the combination is translation (from 3 to 2) then reflection (from 2 to 1). So the correct option is "translation, then reflection".

Answer:

translation, then reflection