Rigid Motions in Geometry

What defines a rigid motion in geometry?

Which of the following is a characteristic of a rotation transformation?

What are the coordinates of the preimage 𝐴𝐵 if the image is 𝑇〈2,3〉?

What is the result of reflecting a shape across the line defined by the equation $y = x$?

In the point-slope form, how is the line of reflection for points 𝐴(−6,2) and 𝐴′(174, −118) defined?

What is a correct description of the double reflection that results in a translation?

Which statement about rotational symmetry is true?

What is the date displayed on the digital display?

What is the time displayed on the digital display?

What does the location indicator show?

The display includes a graphic for the Wi-Fi signal.

The digital display shows numeric battery level.

Rigid Motions

Rigid motions preserve size and shape.
Transformations that result in rigid motions include rotations, reflections, and translations.

Rotations

Rotations involve turning a figure around a point.
Specify the angle and the center of rotation.
The examples provided involve 180-degree rotations about the origin and a point, and 90-degree and -90-degree rotations about the origin and a point.

Reflections

Reflections involve flipping a figure across a line.
The examples include reflections across the x-axis, the y-axis, and lines with specific equations.

Translations

Translations involve sliding a figure a certain distance in a specific direction.
They are also rigid motions.

Preimage and Image

The original figure is the preimage.
The resulting figure is the image.

Coordinates of Images

The worksheet includes examples where you need to find the coordinates of the image of a given figure under specific transformations.

Line of Reflections

The question also asks for equations of lines of reflection.

Composition of Transformations

Questions involve more than one transformation that are applied in sequence
Questions also involve transformations that can be applied as a single translation.

Rotational Symmetry

Some figures have rotational symmetry where rotations map the figure to itself.
Degrees of rotation (the smallest rotation which does this) in these situations are asked for.

Lines of Symmetry

Lines of symmetry divide a figure into two identical halves.
Figures may have no, one, or more lines of symmetry.

Explore the world of rigid motions through this quiz, which covers rotations, reflections, and translations. You'll learn about key concepts like preimages, images, and how to determine coordinates under various transformations. Test your understanding and solidify your knowledge of these important geometric concepts!