Dilation and Scale Factor Concepts

The video tutorial explains dilations, a type of transformation that changes the size of a figure while maintaining its shape. It covers the concept of transformations, focusing on dilations, which alter size and position. The tutorial references a video to illustrate these concepts and defines key terms like center of dilation and scale factor. It explains how the scale factor determines whether a figure enlarges or shrinks. An example using triangles demonstrates how to calculate and apply the scale factor to understand dilations and their algebraic representations.

What is the primary effect of a dilation on a geometric figure?

• It changes the color of the figure.

• It changes the size of the figure.

• It changes the orientation of the figure.

• It changes the shape of the figure.

Which transformation is responsible for changing the size of a figure?

• Dilation

• Rotation

• Reflection

• Translation

What two components are essential to define a dilation?

• Center of dilation and scale factor

• Angle of rotation and axis of symmetry

• Line of reflection and translation vector

• Point of origin and distance

How does a dilation affect the shape of a figure?

• It changes the shape.

• It maintains the shape.

• It distorts the shape.

• It flips the shape.

What is the center of dilation?

• The midpoint of the figure.

• The point from which the figure is enlarged or reduced.

• The highest point of the figure.

• The lowest point of the figure.

What is the effect of a dilation on the orientation of a figure?

• It changes the orientation.

• It maintains the orientation.

• It flips the orientation.

• It rotates the orientation.

What is the effect of a dilation on the angles of a figure?

• It halves the angles.

• It maintains the angles.

• It doubles the angles.

• It changes the angles.

If a scale factor is greater than one, what happens to the figure?

• The figure enlarges.

• The figure disappears.

• The figure shrinks.

• The figure remains the same size.

What happens to a figure if the scale factor is between zero and one?

• The figure enlarges.

• The figure shrinks.

• The figure remains unchanged.

• The figure rotates.

What is the relationship between the scale factor and the size of the image?

• Directly proportional

• Inversely proportional

• Random relationship

• No relationship