8.3C
What is a scale factor?
A scale factor is the constant by which the size of a geometric figure is enlarged or reduced
What does it mean for two shapes to be similar?
They are the same shape, but they are in proportion to each other, not the same size.
What is one attribute that remains unchanged during a dilation?
The angles are always congruent.
What does it mean for a dilation to preserve orientation?
It will be facing the same way and the order of the vertices will be the same.
What is the difference between transformations that preserve congruence and those that do not?
Answers will vary.
How does a scale factor greater than 1 affect the size of a figure on a coordinate plane?
It will enlarge the figure.
If two triangles have side lengths of 3:6, what is the ratio of their corresponding sides?
1/2
Compare the perimeter of a shape and its dilation. How are they related?
The perimeter of the new figure should be a product of the scale factor that was applied to dilate the figure.
Can a dilation change the shape of a figure? Explain.
No, it will change only the size.
Give an example of a transformation that preserves congruence.
transformations, reflections, and rotation
How does a scale factor between 0 and 1 affect the size of a figure on a coordinate plane?
It will reduce the figure.
How can you determine if two shapes are similar using their side lengths?
Set up a proportion with corresponding side lengths.
Describe how the area of a shape changes when it undergoes a dilation with a scale factor of 2.
The shape will enlarge by a factor of 2.
How does the orientation of a triangle change when it is dilated by a scale factor of 1?
Nothing changes, it's congruent.
How does a translation differ from a dilation regarding congruence?
Translations will be congruent, but dilations will be similar.
Explain how to use an algebraic representation to show the transformation of a triangle with vertices at (1, 2), (3, 4), and (5, 1) when a scale factor of 2 is applied.
Multiply both coordinates by the scale factor.
If a rectangle has a length of 4 and a width of 2, and its dilation results in a rectangle with a length of 8, what is the scale factor?
2
How do the angles of a shape compare to its dilation?
The angles are congruent.
In what scenarios do dilations preserve congruence?
When you multiply by a scale factor of 1.
Explain why a rotation is a transformation that preserves congruence.
It changes location, but not the shape or size.
Given a square with vertices at (1, 1), (1, 3), (3, 3), and (3, 1), what are the coordinates of the vertices after a scale factor of 0.5 is applied?
You multiply the scale factor times each of the coordinates to create the dilated figure.
Explain how the ratio of corresponding sides of two similar shapes remains constant regardless of the size.
They are in proportion to each other.
What happens to the orientation of a shape when it is dilated?
It stays the same.
Explain the relationship between congruence and dilation.
The angles will always be congruent, but if it was dilated, the only way it can be congruent is if it was multiplied by a scale factor of 1.
What type of transformation would result in a shape that is not congruent to the original? Provide an example.
Dilations will not preserve congruence. They change the size.