What are dilations, similarity and scale factors

The video tutorial introduces the concept of dilations, a type of transformation that changes the size and shape of a figure. It contrasts dilations with previous transformations like reflections, translations, and rotations, which maintain the original size and shape. The tutorial explains how dilations can enlarge or reduce a figure using scale factors, with practical examples using triangles to illustrate these concepts.

Which of the following transformations does not alter the size of a figure?

• Enlargement

• Reduction

• Reflection

• Dilation

What is a dilation in terms of transformations?

• A transformation that changes the position of a figure

• A transformation that changes the color of a figure

• A transformation that changes the orientation of a figure

• A transformation that changes the size of a figure

What is the scale factor for an enlargement?

• Equal to 0

• Less than 1

• Equal to 1

• Greater than 1

If a figure is reduced in size, what can be said about its scale factor?

• It is equal to 1

• It is equal to 0

• It is greater than 1

• It is less than 1

What remains unchanged in a dilation?

• The size of the figure

• The shape of the figure

• The color of the figure

• The position of the figure

In the practical example, what is the starting point for the dilation?

• The vertex

• The origin

• The midpoint

• The endpoint

What is the term used for a figure that is the same shape but not necessarily the same size as the original?

• Similar

• Equivalent

• Congruent

• Identical