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## What 3 transformations are congruent?

**There are three main types of congruence transformations:**

- Translation (a slide)
- Rotation (a turn)
- Reflection (a flip)

## What transformation produces a congruent figure?

**Rotations, reflections, and translations** are isometric. That means that these transformations do not change the size of the figure. If the size and shape of the figure is not changed, then the figures are congruent.

## What type of transformation results in an image that is not congruent to the original?

A translation is considered a “direct isometry” because it not only maintains congruence, but it also, unlike reflections and rotations, preserves its orientation. On the other hand, **a dilation** is not an isometry because its Image is not congruent with its Pre-Image.

## What makes a figure not congruent?

**the sides, and noncongruent** means “not congruent,” that is, not the same shape. (Shapes that are reflected and rotated and translated copies of each other are congruent shapes.) So we want triangles that look fundamentally different. … And vertex is just another word for the corner of a shape.

## Are transformations always congruent?

We now know that the rigid transformations (reflections, translations and rotations) preserve the size and shape of the figures. That is, **the pre-image and the image are always congruent**. … It is possible to turn, flip and/or slide one figure so it will fit exactly on the other figure.

## Which series of transformations will create similar but not congruent figures?

The correct answer is: **dilation and rotation**.

## What type of transformation creates similar figures?

A similarity transformation is one or more rigid transformations (reflection, rotation, translation) **followed by a dilation**. When a figure is transformed by a similarity transformation, an image is created that is similar to the original figure.

## Which sequence of transformations results in figures that are similar but not congruent?

When two shapes are similar but not congruent, the sequence of steps showing the similarity usually has **a single dilation and then the rest of the steps are rigid transformations**. The dilation can come at any time. It does not matter which figure you start with.

## Are Δdef and Δrpq congruent?

Therefore, ΔDEF, **and ΔRPQ are congruent**, because ΔDEF can be mapped to ΔRPQ by a 180° rotation about the origin followed by a translation 2 units down.

## Which composition of transformations will create a pair of similar not congruent triangles?

The correct option is “ **a rotation thenna dilation**”.