Dilation and Transformation Concepts

This tutorial covers the concept of dilation, a non-rigid transformation that changes the size of a figure while preserving angle measures. It explains how dilation factors, which must be positive, determine whether a figure is stretched or compressed. The tutorial provides step-by-step instructions on performing dilation by multiplying coordinates by the dilation factor. Examples illustrate how to apply these concepts, and the tutorial concludes with a graphing demonstration and practice exercises.

What is a dilation in the context of transformations?

• A non-rigid transformation that changes size but not shape

• A transformation that only changes the position

• A rigid transformation that preserves size and shape

• A transformation that only changes the shape

What is the primary characteristic of a non-rigid transformation?

• It preserves shape

• It preserves size

• It changes size

• It changes position

Which of the following is true about the dilation factor?

• It can be any real number

• It must be zero

• It can be negative

• It is always positive

What is the effect of a dilation factor greater than 1?

• It keeps the image the same size

• It enlarges the image

• It flips the image

• It shrinks the image

What is the result of a dilation with a factor of 1?

• The figure is inverted

• The figure is reduced

• The figure is enlarged

• The figure remains unchanged

What is the effect of a dilation factor less than 1?

• It keeps the image the same size

• It shrinks the image

• It enlarges the image

• It flips the image

What is the result of dilating a point by a scale factor of 0?

• The point is inverted

• The point is doubled

• The point remains unchanged

• The point is moved to the origin

What is the effect of a dilation factor of 0.5?

• The figure is enlarged

• The figure is reduced

• The figure remains unchanged

• The figure is inverted

What is the result of a dilation with a factor of 2?

• The figure is inverted

• The figure is enlarged

• The figure remains unchanged

• The figure is reduced

What is the effect of a dilation factor of 1.5?

• The figure remains unchanged

• The figure is reduced

• The figure is enlarged

• The figure is inverted