Dilation in Geometry Concepts

The video tutorial covers the concept of dilations in geometry, explaining how they transform figures by making them larger or smaller while maintaining shape and angle measures. It introduces the concept of scale factor, which determines whether a dilation is an enlargement or a reduction. The tutorial provides step-by-step instructions on calculating scale factors and applying them to figures, using examples to illustrate the process. It also guides viewers on identifying whether a dilation results in an enlargement or reduction and concludes with additional examples to reinforce learning.

What is a dilation in geometry?

• A transformation that changes the shape of a figure

• A transformation that changes the size of a figure

• A transformation that changes the position of a figure

• A transformation that changes the color of a figure

After a dilation, what remains unchanged in a figure?

• The color of the figure

• The position of the figure

• The shape of the figure

• The size of the figure

What is the result when a scale factor is greater than one?

• The figure becomes larger

• The figure becomes smaller

• The figure remains the same

• The figure changes shape

What do we call a dilation with a scale factor between zero and one?

• Rotation

• Translation

• Reduction

• Enlargement

How do you apply a scale factor to a figure?

• Add the scale factor to each coordinate

• Subtract the scale factor from each coordinate

• Multiply each coordinate by the scale factor

• Divide each coordinate by the scale factor

How do you find the scale factor from two figures?

• Divide the original side length by the prime side length

• Multiply the original side length by the prime side length

• Subtract the original side length from the prime side length

• Divide the prime side length by the original side length

If a side length of a figure is 1 unit and its dilated side is 4 units, what is the scale factor?

• 1

• 1/4

• 1/2

• 4

In a dilation problem, if the original side length is 3 and the dilated side length is 6, what is the scale factor?

• 3

• 2

• 1/3

• 1/2

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

• The figure becomes twice its size

• The figure becomes three times its size

• The figure becomes half its size

• The figure remains the same size

In a dilation, if the original triangle is smaller than the dilated triangle, what is this called?

• Reduction

• Rotation

• Enlargement

• Translation