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Name Date Class MODULE19Transformations and Congruence Module Quiz: BUse the diagram for 13.5. Which number is between6 and 2A 1C 3B 2D 48?6. What would be the orientation of the figure below after.

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There are three main types of congruence transformations: reflections (flips), rotations (turns), and translations (slides). These congruence transformations can be used to obtain congruent shapes or to verify that two shapes are congruent.

Some transformations keep the pre-image and image congruent. Congruent means that they are the same size and shape or that they have the same measurements. They make not have the same orientation, meaning they could be flipped or turned, but they do have the same measurements.

If they look like they're the same shape, just different sizes, they are said to be similar. When they are also congruent, they are not only the same shape, but also the same size. The lengths of each of the sides and the angles between them are the same as the respective sides and angles of the other shape.

A dilation is a transformation that changes the size of an object, but not its shape. It preserves orientation, but does not preserve congruence. Translation, reflection, and rotation are all transformations that preserve congruence.

A congruence transformation is a moved figure that retains the same size, shape, angles, and side lengths of the original image. The final figure is exactly equal to the original image, also called the pre-image. There are three congruent transformations: reflections, rotations, and translations.

Two figures are congruent if you can translate, rotate, and/or reflect one shape to get the other. (Angle measures and side lengths are the same). Two figures are similar if you can if you can translate, rotate, reflect and/or dilate one shape to get the other. (Angle measures and side lengths may be different).

Similar figures have the same shape but not necessarily the same size. Congruence transformations preserve length and angle measure. When the scale factor of the dilation(s) is not equal to 1 or −1, similarity transformations preserve angle measure only.

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