Exploring Dilations in Geometry

The video tutorial explains dilations in geometry, focusing on how the size of a figure changes while its shape remains the same. It introduces the concept of scale factor, denoted by 'k', and distinguishes between enlargement (k > 1) and reduction (k < 1). The tutorial demonstrates how to apply the scale factor to coordinates to achieve dilation, using a triangle as an example to illustrate the process of enlargement.

What does a dilation change in a figure?

• Its shape

• Its size

• Its color

• Its orientation

What letter is used to abbreviate the scale factor in dilations?

• k

• s

• d

• f

What happens to a figure when the scale factor is greater than 1?

• It remains the same size

• It changes shape

• It gets smaller

• It gets larger

What is the result when the scale factor is less than 1?

• The figure gets smaller

• The figure gets larger

• The figure changes shape

• The figure remains the same size

To dilate a figure, what must you multiply by the scale factor?

• Neither x nor y coordinates

• Only the x-coordinates

• Only the y-coordinates

• Both x and y coordinates

If a triangle has coordinates (1, 2) and is dilated by a scale factor of 3, what are the new coordinates?

• (6, 12)

• (3, 6)

• (1, 2)

• (2, 4)

What are the new coordinates of a point (-2, 1) after being dilated by a scale factor of 3?

• (-2, 1)

• (-6, 3)

• (-1, 3)

• (-3, 2)

After dilating a point (4, 3) by a scale factor of 3, what are the new coordinates?

• (6, 9)

• (4, 3)

• (12, 9)

• (8, 6)