Transformations and Their Properties

This video tutorial covers compositions of transformations, explaining how multiple transformations like rotations, reflections, translations, and dilations can be combined. It introduces key vocabulary and provides step-by-step examples to illustrate the concepts. The video also includes advanced examples and concludes with a final example to reinforce learning.

What is a composition of transformations?

• A transformation that only involves rotation

• A transformation that only involves reflection

• A combination of multiple transformations

• A single transformation applied multiple times

Which transformation involves flipping an object over a line?

• Dilation

• Reflection

• Rotation

• Translation

What does a translation do to an object?

• Flips it over a line

• Slides it to a new position

• Rotates it around a point

• Changes its size

In a composite transformation, what does the order of transformations affect?

• The shape of the object

• The color of the object

• The final position of the object

• The size of the object

How many degrees is a full rotation?

• 360 degrees

• 270 degrees

• 180 degrees

• 90 degrees

What is the result of a 180-degree rotation around the origin?

• The object is flipped upside down

• The object remains unchanged

• The object is mirrored

• The object is enlarged

What is the term for making an object larger or smaller?

• Reflection

• Dilation

• Translation

• Rotation

What is the center of dilation?

• The point around which an object is rotated

• The point from which an object is enlarged or reduced

• The line over which an object is reflected

• The path along which an object is translated

What tool can be used to accurately perform transformations on paper?

• Compass

• Protractor

• Patty paper

• Ruler

What happens when a shape is reflected across the line y = x?

• The shape is enlarged

• The shape is translated

• The shape is rotated 90 degrees

• The x and y coordinates are swapped