What is a rigid motion of the plane?

A rigid motion of the plane is a map of the plane to itself which preserves distances between points. Let f be such a function. A point x in the plane is called a fixed point of the rigid motion f if f(x) = x. Suppose f is the map which translates A to B where A and B are distinct points in the plane.

How would you describe the sequence of rigid motions?

Any sequence of rigid motions is called a rigid transformation. A rigid transformation is a transformation that doesn’t change measurements on any figure.

Which rigid motion moves a figure along a line?

Reflection
Reflection – a basic rigid motion that moves a figure across a line.

What are the 4 rigid motions?

There are four types of rigid motions that we will consider: translation , rotation, reflection, and glide reflection.

• Translation: In a translation, everything is moved by the same amount and in the same direction.
• Rotation:
• Reflection:
• Glide Reflection:

What is the rule for rigid motion?

A rigid motion is a transformation (of the plane) that “preserves distance”. In other words, if A is sent/mapped/transformed to A′ and B is sent to B′, then the distance between A and B (the length of segment AB) is the same as the distance between A′ and B′ (the length of segment A′B′).

What are the 3 basic rigid motions?

Do rigid motions preserve distance?

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

What makes a rigid motion?

Rigid motion is otherwise known as a rigid transformation and occurs when a point or object is moved, but the size and shape remain the same. This differs from non-rigid motion, like a dilation, where the size of the object can increase or decrease.

What is the rule for the rigid motion?

What is the formula for rigid motion?

For a rigid body, the angular momentum (L) is the product of the moment of inertia and the angular velocity: L = Iω. For a point of mass, angular momentum can be expressed as the product of linear momentum and the radius ( r): L = mvr.

What is an example of a rigid motion?

Translations, reflections, and rotations are examples of rigid motions, which are, intuitively, rules of moving points in the plane in such a way that preserves distance. For the sake of brevity, these three rigid motions will be referred to exclusively as the basic rigid motions.

What are the properties of rigid motion?

Basic properties of all three basic rigid motions. A basic rigid motion maps a line to a line, a ray to a ray, a segment to a segment, and an angle to an angle. A basic rigid motion preserves lengths of segments. A basic rigid motion preserves degrees of angles.

What does rigid motion mean?

rigid motion. noun Mathematics. any transformation, as a translation or rotation, of a set such that the distance between points is preserved.