Dilation and Its Properties

The video tutorial explains the concept of dilation, a transformation that changes the size of a figure while maintaining its shape. Using a graph example, it demonstrates how a square's dimensions are increased, confirming the transformation as a dilation. The tutorial also introduces the concept of scale factor, explaining that the larger square's dimensions are four times those of the smaller square, resulting in a scale factor of 4.

What is a dilation in the context of transformations?

• A transformation that alters the dimensions of a figure while keeping the shape the same.

• A transformation that rotates a figure.

• A transformation that changes the shape of a figure.

• A transformation that changes the color of a figure.

How does a dilation affect the dimensions of a figure?

• It only reduces the dimensions.

• It changes the dimensions without maintaining the shape.

• It only increases the dimensions.

• It reduces or increases the dimensions while maintaining the shape.

In the given graph, what transformation is observed?

• The figure on the left is rotated to form the figure on the right.

• The figure on the left is translated to form the figure on the right.

• The figure on the left is reflected to form the figure on the right.

• The figure on the left is enlarged to form the figure on the right.

What must be true for a transformation to be considered a dilation?

• The figure must change shape.

• The figure must maintain the same shape.

• The figure must change color.

• The figure must be rotated.

What is the shape of the figure on the left in the graph?

• A square with sides of one unit.

• A circle with a radius of one unit.

• A rectangle with sides of one unit.

• A triangle with sides of one unit.

What is the shape of the figure on the right in the graph?

• A rectangle with sides of four units.

• A triangle with sides of four units.

• A circle with a radius of four units.

• A square with sides of four units.

Why is the transformation in the graph considered a dilation?

• Because the figures have different shapes.

• Because the figures have the same shape.

• Because the figures have different colors.

• Because the figures are rotated.

What is the scale factor used in the transformation?

• 5

• 4

• 3

• 2

How is the scale factor determined in a dilation?

• By comparing the colors of the figures.

• By comparing the shapes of the figures.

• By comparing the rotation angles of the figures.

• By comparing the dimensions of the figures.

What is the relationship between the dimensions of the larger and smaller squares in the graph?

• The larger square is twice the size of the smaller square.

• The larger square is three times the size of the smaller square.

• The larger square is four times the size of the smaller square.

• The larger square is five times the size of the smaller square.