Dilation and Properties of Rectangles

The video tutorial explains the concept of dilation in geometry, focusing on how a shape can shrink when a scale factor less than one is applied. The instructor uses a rectangle labeled H I J K to demonstrate the process, calculating the new dimensions after applying a scale factor of one-half. The tutorial emphasizes the importance of the center of dilation and provides step-by-step calculations to show how the shape's size changes. The video concludes with a summary of the dilation process and its effects on the shape's dimensions.

What is the primary effect of a dilation on a shape?

• It rotates the shape.

• It alters the size of the shape.

• It changes the color of the shape.

• It changes the shape's position.

What is the initial length of side HI in rectangle HIJK?

• 2 units

• 8 units

• 4 units

• 6 units

What is the length of side HK in rectangle HIJK?

• 8 units

• 6 units

• 4 units

• 2 units

What happens to a shape when the scale factor is less than one?

• The shape grows larger.

• The shape remains the same size.

• The shape shrinks.

• The shape disappears.

What is the scale factor used in the dilation of rectangle HIJK?

• 2

• 1/2

• 1

• 3/4

What is the new length of side HI after dilation?

• 4 units

• 2 units

• 3 units

• 1 unit

What is the new position of point H after dilation?

• H prime is 4 units from center I.

• H prime is 3 units from center I.

• H prime is 1 unit from center I.

• H prime is 2 units from center I.

What is the initial length of side IJ in rectangle HIJK?

• 8 units

• 6 units

• 4 units

• 2 units

What is the new length of side IJ after dilation?

• 5 units

• 4 units

• 3 units

• 2 units

Where is the new position of point J after dilation?

• J prime is 8 units from center I.

• J prime is 2 units from center I.

• J prime is 4 units from center I.

• J prime is 6 units from center I.