Question

1. sequences of transformations

a. a figure is rotated and reflected. what can you say about the new figure in relation to the original figure?
b. a figure is translated, reflected, and then dilated. what can you say about the new figure in relation to the original figure?
hint

Explanation:

a. Rotations and reflections are rigid transformations, meaning they preserve the size and shape of the figure, only changing its position and orientation.
b. Translation and reflection are rigid transformations (preserve size/shape), but dilation changes the size of the figure while keeping its shape the same.

Answer:

a. The new figure is congruent to the original figure (it has the exact same size and shape, only a different position and orientation).
b. The new figure is similar to the original figure (it has the same shape but a different size, while position/orientation are also altered).