Table of Contents

## How do you know if a transformation is congruent?

Figures are congruent if and only if there is a sequence of rigid motions that maps one figure to the other. So, to find congruent figures, look for **sequences of translations, rotations, and reflections that map one figure to another. Because r(180 O)(DEF) LMN, the triangles are congruent.**

## What is congruent translation?

Two figures are congruent if you can translate, **rotate, and/or reflect one shape to get the other.**

## How do you solve congruence transformations?

There are three basic rigid transformations: **reflections, rotations, and translations. Reflections, like the name suggests, reflect the shape across a line which is given. Rotations rotate a shape around a center point which is given, and translations slide or move a shape from one place to another.**

## How can you tell if something is a congruence transformation?

In geometry, two figures or objects are congruent **if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.**

## How do you know if they are 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.**

## Is translation congruent or similar?

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. A congruence transformation is a transformation under which the image and preimage are congruent.**

## What are the 3 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 congruence transformations?

**seeing if we can get from one of the objects to the other using only these congruence transformations.****There are three main types of congruence transformations:**

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

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## What is the formula for congruence?

If all the three sides of one triangle are equivalent to the corresponding three sides of the second triangle, then the two triangles are said to be congruent by SSS rule. In the above-given figure, AB PQ, QR BC and ACPR, hence **u0394 ABC u2245 u0394 PQR**

## How do you solve congruent figures?

Two figures are congruent if you can translate, **rotate, and/or reflect one shape to get the other.**