Dilation and Scale Factor Transformations

The video tutorial covers the concept of dilations, including enlargements and reductions, and their algebraic rules. It explains how transformations like translations, rotations, and reflections preserve congruency, unlike dilations. The tutorial includes solving word problems involving dilations of circles, triangles, and hexagons on a coordinate grid, emphasizing the importance of scale factors in determining the nature of the dilation.

What is the scale factor for an enlargement in a dilation?

• Less than 1

• Equal to 1

• Negative

• Greater than 1

Which transformation involves sliding a shape without changing its size?

• Dilation

• Rotation

• Translation

• Reflection

In a dilation, how do you calculate the new coordinates from the old ones?

• Add a constant to each coordinate

• Multiply each coordinate by the scale factor

• Divide each coordinate by the scale factor

• Subtract a constant from each coordinate

Which transformation does not preserve the size of the figure?

• Translation

• Rotation

• Reflection

• Dilation

If a circle is dilated with a scale factor greater than 1, what happens to its size?

• It becomes smaller

• It remains the same

• It becomes larger

• It disappears

What is the result of multiplying the coordinates of a point by a scale factor of k?

• The point is dilated

• The point is rotated

• The point is translated

• The point is reflected

In a dilation problem, if the scale factor is less than 1, what type of transformation occurs?

• Rotation

• Translation

• Reduction

• Enlargement

What does a scale factor between 0 and 1 indicate in a transformation?

• Reflection

• No change

• Reduction

• Enlargement

If a hexagon is transformed with a scale factor greater than 1, what can be said about its size?

• It becomes smaller

• It remains congruent

• It becomes a different shape

• It becomes larger

Which statement is true if a shape is reduced using a scale factor between 0 and 1?

• The shape becomes larger

• The shape remains the same size

• The shape becomes smaller

• The shape changes its orientation