Effects of Dilation on Figures

The video tutorial covers the concept of dilations in geometry, explaining how to change the size of a shape using a scale factor without altering its shape. It provides examples with different scale factors, showing how to calculate new coordinates for dilated points. The tutorial includes practice problems and solutions, helping students understand the application of dilations in various scenarios.

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

• It changes neither the shape nor the size.

• It changes the size but not the shape.

• It changes the shape and size.

• It changes the shape but not the size.

What happens to a figure when a scale factor greater than 1 is applied?

• The figure remains the same size.

• The figure changes shape.

• The figure becomes smaller.

• The figure becomes larger.

How is a point labeled after it has been dilated?

• With a tilde notation.

• With a double prime notation.

• With a prime notation.

• With a star notation.

If a point (x, y) is dilated with a scale factor of 2, what are the new coordinates?

• (x+2, y+2)

• (2x, 2y)

• (x-2, y-2)

• (x/2, y/2)

What is the result of applying a scale factor of 1/2 to a figure?

• The figure's shape changes.

• The figure doubles in size.

• The figure remains the same size.

• The figure is reduced to half its size.

In a dilation, what does a scale factor less than 1 indicate?

• The figure will shrink.

• The figure will change shape.

• The figure will enlarge.

• The figure will remain unchanged.

What is the new coordinate of a point (3, 4) after a dilation with a scale factor of 1/4?

• (1.5, 1)

• (0.75, 1.5)

• (0.75, 1)

• (12, 16)

Which of the following is true about a dilation with a scale factor of 2.5?

• The figure will enlarge.

• The figure will change shape.

• The figure will shrink.

• The figure will remain the same.

What is the effect of a scale factor of 2/3 on a figure?

• The figure remains the same.

• The figure shrinks.

• The figure enlarges.

• The figure changes shape.

What is the key takeaway about scale factors in dilations?

• Scale factors greater than 1 enlarge the figure.

• Scale factors less than 1 enlarge the figure.

• Scale factors have no effect on the figure.

• Scale factors greater than 1 shrink the figure.