Question

figures 1 and 2 are congruent. which sequence of transformations will map figure 1 onto figure 2? translate to the right rotate 90° clockwise about point p reflect across line m dilate by a factor of 2

Explanation:

Step1: Analyze the transformation types

Congruent figures have the same shape and size. A dilation (dilate by a factor of 2) would change the size, so it is not applicable. A rotation (rotate \(90^{\circ}\) clockwise about point \(P\)) changes the orientation in a way that is not consistent with the given figures.

Step2: Check reflection

A reflection across line \(m\) can map figure 1 onto figure 2 as reflection is a transformation that flips a figure over a line (in this case line \(m\)) and keeps the size and shape (since figures are congruent). A translation to the right would just shift the figure horizontally but not change its orientation in the way shown in the problem (the figures are mirror - images with respect to line \(m\)).

Answer:

reflect across line \(m\)