Question

ixl.com/math/grade - 8/describe - a - sequence - of - transformations
reflection, then rotation
rotation, then translation
rotation, then reflection
reflection then translation

Explanation:

Step1: Analyze the transformation from figure 1 to figure 2

• First, check if there is a rotation. If we consider the orientation change from figure 1 to figure 2, we can observe that a rotation is not the first - step transformation.
• Then, check for reflection. If we assume a reflection (say over a vertical or horizontal line), we can see that it does not directly lead from figure 1 to figure 2.

Step2: Analyze the transformation from figure 1 to figure 3

• First, observe the orientation of figure 1 and figure 3. The orientation of figure 3 with respect to figure 1 is such that a reflection (over a vertical line passing through the common vertex) can be considered as the first - step transformation.
• After the reflection, we can observe that there is a translation (a shift in the vertical direction) to get from the reflected figure (after the first step) to figure 3.

Answer:

reflection, then translation