Dilation and Scale Factors in Geometry

The video tutorial explains how to perform dilations on triangles using coordinates, without relying on a graph. It covers the concept of scale factors, showing how they can enlarge or reduce figures. Examples are provided for scale factors of two, three, and one-half, demonstrating how to calculate new coordinates for dilated images. The lesson concludes by emphasizing the similarity between the original and dilated images, despite their size differences.

What is the effect of a scale factor greater than 1 on a figure?

• It changes the shape of the figure.

• It enlarges the figure.

• It reduces the figure.

• It keeps the figure the same size.

If a scale factor is between 0 and 1, what happens to the figure?

• The figure remains unchanged.

• The figure is enlarged.

• The figure becomes distorted.

• The figure is reduced.

How do you calculate the new coordinates of a point after dilation with a scale factor of 2?

• Add 2 to each coordinate.

• Multiply each coordinate by 2.

• Divide each coordinate by 2.

• Subtract 2 from each coordinate.

What are the new coordinates of point A(-2, -2) after dilation with a scale factor of 2?

• (0, 0)

• (-2, -2)

• (-4, -4)

• (-1, -1)

What is the result of multiplying the coordinates of point B(1, -1) by a scale factor of 3?

• (0, 0)

• (1, -1)

• (2, -2)

• (3, -3)

After applying a scale factor of 3, what are the new coordinates of point C(-1, 1)?

• (0, 0)

• (-2, 2)

• (-3, 3)

• (-1, 1)

What happens to a figure when a scale factor of 1/2 is applied?

• The figure remains the same.

• The figure is reduced.

• The figure is distorted.

• The figure is enlarged.

What are the new coordinates of point A(-4, -4) after applying a scale factor of 1/2?

• (-4, -4)

• (-2, -2)

• (0, 0)

• (-1, -1)

If point B is at (2, -4), what are its new coordinates after a scale factor of 1/2?

• (1, -2)

• (3, -6)

• (2, -4)

• (0, 0)

What is the relationship between the pre-image and the image after dilation?

• They are unrelated.

• They are similar but not congruent.

• They are congruent.

• They are identical.