Dilations

The video lesson on dilations covers identifying and performing dilations on a coordinate plane. It begins with an introduction and objectives, followed by a vocabulary review. Real-world examples illustrate dilations, and the concept of scale factor is explained. Instructions for dilating figures on a coordinate plane are provided, with practice problems to reinforce learning. The lesson concludes with a summary of key points.

What is the main objective of a dilation in geometry?

• To rotate a figure

• To change the size of a figure while maintaining its shape

• To translate a figure

• To change the shape of a figure

In the context of dilations, what does the term 'scale factor' refer to?

• The angle of rotation

• The distance a figure is translated

• The amount by which a figure is enlarged or reduced

• The axis of symmetry

Which of the following is true about similar figures?

• They have different scale factors

• They have different shapes

• Their corresponding angles are not congruent

• Their corresponding sides are proportional

What happens to a figure when it undergoes a dilation with a scale factor greater than 1?

• It becomes larger

• It flips

• It becomes smaller

• It rotates

If a triangle is dilated with a scale factor of 0.5, what type of dilation is it?

• Enlargement

• Reduction

• Rotation

• Translation

How do you perform a dilation on a coordinate plane?

• Add the scale factor to each coordinate

• Subtract the scale factor from each coordinate

• Multiply each coordinate by the scale factor

• Divide each coordinate by the scale factor

What is the result of multiplying each coordinate of a figure by a scale factor of 3?

• The figure is reduced to one-third its size

• The figure is translated three units

• The figure is enlarged to three times its size

• The figure is rotated 90 degrees

When graphing a dilation with a scale factor of 2, what should you expect?

• The figure will be flipped

• The figure will be twice its original size

• The figure will be half its original size

• The figure will be rotated

What is the center of dilation in a coordinate plane?

• The origin or a fixed point from which all points are expanded or shrunk

• The point where all lines intersect

• The midpoint of the figure

• The endpoint of the figure

If a figure is dilated with a scale factor of 1, what is the result?

• The figure is enlarged

• The figure is reduced

• The figure remains unchanged

• The figure is rotated