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## Which transformation is congruent to the original figure?

Remember that a reflection is a flip. Under a reflection, the figure does not change size. **A line reflection** creates a figure that is congruent to the original figure and is called an isometry (a transformation that preserves length).

## Why transformed figures are congruent to the original figures?

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.

## Which transformations are congruent to the original figure which are similar to the original figure?

The **image of a translation, reflection, or rotation** is congruent to the original figure, and the image of a dilation is similar to the original figure. Two figures are similar when one can be obtained from the other by a sequence of translations, reflections, rotations, and dilations.

## Which figure in a transformation is the original figure?

A transformation is a change in the position, size, or shape of a geometric figure. The given figure is called **the preimage** (original) and the resulting figure is called the new image.

## Which sequence of transformations produce an image that is not congruent to the original figure?

Which sequence of transformations would result in a figure that is similar but not congruent to the original figure? Explanation: **A dilation shrinks or stretches a figure**. This means it creates a figure that is similar to, but not congruent to, the original figure.

## Which describes a transformation in which the original figure and its transformed figure are congruent?

**A rigid transformation** is a transformation where the original figure, or preimage, and the transformed figure, or image, are still congruent. The three types of congruence transformations are reflection (or flip), translation (or slide), and rotation (or turn).

## How do you determine if an original pre image and the transformed image are congruent?

**A translation** is an isometry , so the image of a translated figure is congruent to the preimage. A transformation that turns a figure around a fixed point, called the center of rotation. A rotation is an isometry so the image is congruent to the preimage.

## Do translations reflections and rotations produce a figure that is congruent to the original figure?

Standards Clarification: Because size and shape are preserved under translations, reflections, and rotations, the result of these transformations is an **exact copy of the original figure**. When two figures have the exact same size and shape, they are called congruent figures.

## Is enlargement followed by a rotation congruent or similar?

Rotation: A shape has been turned. Translation: A movement of a shape using a vector. … **Congruent**: These shapes are the same shape and same size but can be in any orientation. Similar: Two shapes are mathematically similar if one is an enlargement of the other.

## Which of the following is true about similar figures?

Similar figures have the same shape (but not necessarily the same size) and the following properties: **Corresponding sides are proportional**. That is, the ratios of the corresponding sides are equal. Corresponding angles are equal.