Dilation and Scale Factors

The video tutorial covers the concept of dilation in geometry, focusing on the transformation of a triangle using a scale factor of one-half. It explains how dilation can reduce the size of a figure by multiplying the coordinates by the scale factor. The tutorial provides examples of how to handle decimal coordinates and emphasizes that dilation can result in a reduction, not just enlargement. The session concludes with acknowledgments to participants and coordinators.

What is the primary focus of the video tutorial?

• Understanding dilation and transformations

• Graphing linear equations

• Learning about fractions

• Exploring geometric shapes

What is a scale factor in the context of dilation?

• A measure of angle

• A type of geometric shape

• A method to calculate area

• A ratio of lengths in the new image to the original

How is a dilation with a scale factor less than one described?

• As an enlargement

• As a rotation

• As a reduction

• As a translation

What operation is performed on the coordinates during a dilation?

• Addition

• Subtraction

• Multiplication

• Division

What happens to the coordinates of a point when dilated by a scale factor of 0.5?

• They are tripled

• They are doubled

• They remain the same

• They are halved

What is the new location of point R after dilation?

• (1, 2)

• (10, 5)

• (2.5, 5)

• (5, 10)

What is the significance of decimal numbers in the context of this tutorial?

• They show precision in location

• They represent whole numbers

• They are used to calculate area

• They are not allowed on the coordinate plane

What is the original position of point T before dilation?

• (5, 1)

• (2.5, 0.5)

• (10, 5)

• (1, 2)

What does a negative dilation imply?

• The figure is rotated

• The figure is reduced

• The figure is translated

• The figure is enlarged

What remains unchanged in a dilated figure?

• Size

• Color

• Shape

• Angular rotation