Question

similarity and similarity transformations: mastery test
the preimage undergoes the sequence of transformations to produce an image, figure 1.

1. reflection across a horizontal line
2. rotation 30° counterclockwise about point p
3. dilation with a scale factor of 1

which is the preimage?

Explanation:

Step1: Analyze the dilation

Since the dilation has a scale factor of \(1\), the pre - image and the image (after dilation) are congruent.

Step2: Analyze the rotation and reflection

A reflection across a horizontal line and a \(30^{\circ}\) counter - clockwise rotation about point \(P\) are rigid transformations. Rigid transformations (reflection, rotation) preserve the shape and size of the figure.

Answer:

The pre - image is congruent to figure 1. Among the given options (assuming the left - hand non - shaded figure is the one that can be transformed to figure 1 via the given transformations), the left - hand non - shaded polygon (the one that is not figure 1 and not the shaded one) is the pre - image.