Dilation Concepts in Geometry

The video tutorial introduces the concept of dilations in geometry, emphasizing the correct pronunciation and the importance of maintaining proportions. It explains how to perform dilations manually on a graph and introduces the concept of scale factors. The tutorial also demonstrates using GeoGebra to visualize dilations, making it easier to understand the transformation process.

What is the correct pronunciation of the term used to describe resizing an object in geometry?

• Dilution

• Dilution

• Dilation

• Dilation

When performing a dilation by hand, what is the importance of the origin in the process?

• It is the point where all lines intersect.

• It is the endpoint of the dilation.

• It is the midpoint of the dilation.

• It is the center from which the dilation is measured.

How do you determine the new coordinates of a point after a dilation with a scale factor of 3?

• Subtract 3 from each coordinate.

• Multiply each coordinate by 3.

• Divide each coordinate by 3.

• Add 3 to each coordinate.

What is the purpose of using a scale factor in dilations?

• To find the midpoint of the shape.

• To determine the new size of the shape.

• To calculate the area of the shape.

• To change the color of the shape.

What happens to the coordinates of a point when dilated with a scale factor of 2?

• They are tripled.

• They are doubled.

• They remain unchanged.

• They are halved.

What is the result of applying a scale factor of 1/4 to a shape?

• The shape becomes four times larger.

• The shape becomes four times smaller.

• The shape becomes twice as large.

• The shape remains the same size.

How can you make a shape smaller using a scale factor?

• Multiply by a number greater than 1.

• Add a constant to each coordinate.

• Subtract a constant from each coordinate.

• Multiply by a number less than 1.

What is the effect of a scale factor of 1/2 on a triangle's side lengths?

• The side lengths are doubled.

• The side lengths are halved.

• The side lengths remain the same.

• The side lengths are tripled.

In GeoGebra, what is the first step to perform a dilation?

• Choose the dilate from point tool.

• Select the polygon tool.

• Create a grid in the background.

• Select the color of the shape.

Which tool in GeoGebra is used to perform a dilation?

• Circle tool

• Polygon tool

• Dilate from point tool

• Line tool