# Which of the following is a congruence transformation

## What are the 3 congruence transformations?

Congruence transformations

Using three forms of transformations, **Rotations, Reflections and Translations**, we can create congruent shapes. In fact all pairs of congruent shapes can be matched to each other using a series or one or more of these three transformations.

## How do you identify a congruence transformation?

## What is another name for a congruence transformation?

isometry

In mathematics, a congruent transformation (or congruence transformation) is: Another term for

**an isometry**; see congruence (geometry).## Is Dilation a congruence transformation?

Note that the stretching (or shrinking) of a shape is called a dilation. It is clear that

**dilation is not a congruent transformation**, because the size of the shape is changed.## What is a congruent phase transformation?

A congruent phase transformation is “

**A transformation that the initial phase and the final phase have the same composition**“, no matter the initial phase is the solid phase or the liquid phase.## Is translating a congruence transformation?

Congruence Transformations Because the figures produeced by

**translations, reflections, and rotations are all congruent to the original**figure, these are called congruence transformations.## Is a translation congruent?

Because the image of a figure under a translation, reflection, or rotation

**is congruent to**its preimage, translations, reflections, and rotations are examples of congruence transformations.## Are translated triangles congruent?

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 polygons are congruent?

Two polygons are congruent

**if their corresponding sides and angles are congruent**. Note: Two sides are congruent if they have the same length and angles are congruent if they have the same measure.## 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.## Are two triangles congruent?

Two triangles are congruent if they meet one of the following criteria. : All three pairs of corresponding sides are equal. : Two pairs of corresponding sides and the corresponding angles between them are equal. : Two pairs of corresponding angles and the corresponding sides between them are equal.

## What is a congruent figure?

Congruent figures are

**the same size and shape**. Show Answer. Answer: Congruent figures have the exact same size and shape. Even when reflected, rotated, or translated, their size and shape remain identical.## Is a rigid motion congruent?

Two plane figures are

**congruent**if and only if one can be obtained from the other by a sequence of rigid motions (that is, by a sequence of reflections, translations, and/or rotations).## Is a dilation A transformation?

A dilation (similarity transformation) is

**a transformation that changes the size of a figure**. It requires a center point and a scale factor , k . The value of k determines whether the dilation is an enlargement or a reduction.## What are congruent corresponding parts?

**The parts of the two triangles that have the same measurements (congruent)**are referred to as corresponding parts. This means that Corresponding Parts of Congruent Triangles are Congruent (CPCTC). Congruent triangles are named by listing their vertices in corresponding orders.

## Can Rays be congruent?

Rays and

**lines cannot be congruent**because they do not have both end points defined, and so have no definite length.## Is the transformation a rigid motion?

Rigid motions are also called isometries or congruence transformations.

**Translations, rotations, and reflections**are rigid motions.## Why is rigid motion also called a congruence transformation?

Another name for a rigid motion or a combination of rigid motions is a congruence transformation

**because the preimage and image are congruent**. The terms “rigid motion” and “congruence transformation” are interchangeable.