Exploring Properties of Dilations in Geometry

The video tutorial covers the concept of dilation in geometry, explaining its properties, such as the center and vertices of dilation. It discusses how dilation affects shape, size, and congruence, and provides methods to calculate the scale factor using side lengths and coordinates. The tutorial includes practice problems to reinforce understanding of finding scale factors and new coordinates after dilation.

What does dilation in geometry primarily involve?

• Changing the size of a figure while preserving its shape

• Altering the angles within a figure

• Rotating a figure around a point

• Shifting a figure from one location to another

What is the role of the center of dilation?

• It indicates the final size of the dilated figure

• It is the fixed point from which the dilation is measured

• It changes the angles within the figure

• It determines the direction of the dilation

What remains unchanged during a dilation process?

• The size of the figure

• Both the shape and orientation of the figure

• The orientation of the figure

• The shape of the figure

What property of the figure is preserved in dilation?

• Color

• Shape

• Size

• Texture

What happens to the angles of a figure after dilation?

• They remain congruent to the angles in the pre-image

• They lose their congruence

• They become larger

• They become smaller

How does the orientation of a figure change after dilation?

• It is randomized

• It remains the same

• It is always flipped

• It becomes inverted

How is the scale factor related to the size change in dilation?

• A scale factor greater than 1 indicates an enlargement

• The scale factor does not affect the size of the dilation

• A scale factor less than 1 indicates an enlargement

• A scale factor greater than 1 indicates a reduction

How can the scale factor be determined using the sides of a figure?

• By multiplying the lengths of corresponding sides

• By adding the lengths of corresponding sides

• By subtracting the length of a side in the image from its corresponding side in the pre-image

• By dividing the length of a side in the image by its corresponding side in the pre-image

What does a scale factor of 1/2 indicate about the dilation?

• The figure is reduced to half its size

• The figure's size is quadrupled

• The figure is enlarged to twice its size

• The figure remains the same size

What is the correct way to find new ordered pairs after dilation?

• Divide each coordinate by the scale factor

• Subtract the scale factor from each coordinate

• Add the scale factor to each coordinate

• Multiply each coordinate by the scale factor