Dilation Effects on Coordinates

This lesson, led by Mrs. Apia, covers dilations on the coordinate plane, focusing on the multiplicative effect of scale factors when the center of dilation is the origin. Through various examples, students learn to calculate the coordinates of dilated points by multiplying the original coordinates by the scale factor. The lesson includes examples with positive and negative coordinates, verification of methods, and dilation of geometric shapes like triangles. The session concludes with a summary of the key concepts and methods for finding dilated coordinates.

What is the effect of a scale factor of 2 on the coordinates of a point when the center of dilation is the origin?

• The coordinates are halved.

• The coordinates are doubled.

• The coordinates are tripled.

• The coordinates remain the same.

In example 1B, what happens to the coordinates of point A when a scale factor of 4 is applied?

• The coordinates remain unchanged.

• The coordinates are divided by 4.

• The coordinates are subtracted by 4.

• The coordinates are multiplied by 4.

How do you verify the coordinates of a dilated point using the scale factor?

• By subtracting the scale factor from each coordinate.

• By multiplying each coordinate by the scale factor.

• By dividing each coordinate by the scale factor.

• By adding the scale factor to each coordinate.

What happens to a point's coordinates when a scale factor less than 1 is applied?

• The point moves further from the origin.

• The point's coordinates are inverted.

• The point moves closer to the origin.

• The point remains stationary.

What is the multiplicative relationship between a point and its dilation?

• The coordinates are added to the scale factor.

• The coordinates are divided by the scale factor.

• The coordinates are multiplied by the scale factor.

• The coordinates are subtracted by the scale factor.

How do you find the coordinates of a dilated triangle from the origin?

• By subtracting the scale factor from each vertex.

• By adding the scale factor to each vertex.

• By multiplying each vertex coordinate by the scale factor.

• By dividing each vertex coordinate by the scale factor.

What is the result of dilating a triangle with a scale factor of 1/3?

• The triangle's angles change.

• The triangle remains the same size.

• The triangle contracts.

• The triangle expands.

If a point A has coordinates (3, 2), what are the coordinates of A' after a dilation with a scale factor of 4?

• (12, 8)

• (7, 6)

• (3, 2)

• (0, 0)

What is the effect of a scale factor greater than 1 on a point's coordinates?

• The point's coordinates are inverted.

• The point moves further from the origin.

• The point moves closer to the origin.

• The point remains stationary.

How do you determine the coordinates of a dilated point from the origin?

• By dividing each coordinate by the scale factor.

• By subtracting the scale factor from each coordinate.

• By multiplying each coordinate by the scale factor.

• By adding the scale factor to each coordinate.