# Which of the following does a rigid motion preserve?

Space and AstronomyRigid motions preserve collinearity. Reflections, rotations, and translations are all rigid motions. So, they all preserve **distance, angle measure, betweenness, and collinearity**.

## Does a rigid motion preserve side lengths?

Simply put, rigid motions are transformations that **preserve the side lengths** and angles in a shape.

## Does a rigid motion preserve side lengths and angle measures?

Yes, translations are rigid transformations. **They too preserve angle measure and segment length**.

## Which of the following transformations are rigid motions that preserve the size and shape of the pre image?

**A translation** (notation T _{a}_{,}_{b} ) is a transformation which “slides” a figure a fixed distance in a given direction. In a translation, ALL of the points move the same distance in the same direction. A translation is called a rigid transformation or isometry because the image is the same size and shape as the pre-image.

## What does rigid motion means?

Rigid Motion: **Any way of moving all the points in the plane such that**. **a) the relative distance between points stays the same and**. **b) the relative position of the points stays the same**. There are four types of rigid motions that we will consider: translation , rotation, reflection, and glide reflection.

## What properties do rigid motions preserve?

Rigid motions map a line to a line, a ray to a ray, a segment to a segment, and an angle to an angle. Rigid motions preserve **lengths of segments**. Rigid motions preserve the measures of angles.

## How do you find rigid motion?

Video quote: *You can see that this has flipped across the axis. The y-axis. So since it has not changed shape or size this is a rigid motion.*

## What do rigid transformations preserve?

Rigid motion – A transformation that preserves **distance and angle measure** (the shapes are congruent, angles are congruent).

## What is a rigid motion examples?

In rigid motion, the position or orientation of the set as a whole changes without the distance of the line segments changing. For example, **a triangle will turn or slide, but it won’t stretch or squeeze**.

## What are the 3 basic rigid motions?

The three basic rigid motions are **translation, reflection, and rotation**. A pre-image describes a point or shape before it is moved.

## What is a rigid figure?

rigid. • **a shape that can’t be pushed to make a different shape**. • a triangle is the only rigid polygon, so triangles are often used.

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