Dilations

What are the properties of dilations?

• Translation, rotation, reflection

• Expansion, contraction, reflection

• Reflection, translation, rotation

• Scaling, orientation preservation, center of dilation

Tags

CCSS.8.G.A.3

How does the scale factor affect dilations?

• The scale factor directly determines the size change of the figure in dilations.

• The scale factor affects the color of the figure in dilations

• The scale factor changes the shape of the figure in dilations

• The scale factor has no impact on dilations

Tags

CCSS.8.G.A.3

What effects do dilations have on shapes?

• Dilations reflect shapes

• Dilations stretch shapes

• Dilations enlarge or reduce shapes proportionally.

• Dilations rotate shapes

Tags

CCSS.8.G.A.3

Explain how dilations work on the coordinate plane.

• Dilations involve rotating a figure around a fixed center point

• Dilations involve translating a figure horizontally or vertically

• Dilations involve reflecting a figure over a line

• Dilations involve scaling a figure up or down based on a fixed center point called the center of dilation. Each point is multiplied by a scale factor to determine its new coordinates.

Tags

CCSS.8.G.A.3

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

• The size of the shape decreases.

• The shape remains the same size.

• The size of the shape increases.

• The shape disappears.

Tags

CCSS.8.G.A.3

If a shape is dilated with a scale factor between 0 and 1, what happens to its size?

• It changes shape.

• It decreases or shrinks.

• It increases or grows.

• It remains the same size.

Tags

CCSS.8.G.A.3

What is the relationship between the pre-image and image in a dilation?

• The image is a mirrored version of the pre-image.

• The image is a translated version of the pre-image.

• The image is a rotated version of the pre-image.

• The image is a scaled version of the pre-image.

Tags

CCSS.8.G.A.3

How can you determine the center of dilation on a coordinate plane?

• The center of dilation is always at the origin (0,0)

• The center of dilation is located at the midpoint of the pre-image and image points

• The center of dilation can be found by calculating the intersection point of the lines connecting corresponding pre-image and image points after dilation.

• The center of dilation is determined by the largest pre-image point

Tags

CCSS.8.G.A.3

What is the difference between enlargements and reductions in dilations?

• Enlargements make the image bigger, while reductions make the image smaller.

• Enlargements and reductions change the shape of the image.

• Enlargements make the image smaller, while reductions make the image bigger.

• Enlargements and reductions have the same effect on the image size.

Tags

CCSS.8.G.A.3

In a dilation, how are corresponding sides and angles related between the pre-image and image?

• Corresponding sides are proportional, and corresponding angles are congruent.

• Corresponding sides are proportional, and corresponding angles are not related.

• Corresponding sides are not related, and corresponding angles are congruent.

• Corresponding sides are congruent, and corresponding angles are proportional.

Tags

CCSS.8.G.A.3