Transformations: Exploring Dilations and Their Effects

The video tutorial covers transformations, including translations, reflections, rotations, and dilations. It explains how to apply rules to ordered pairs for translations, reflects shapes over axes, rotates shapes by 90 and 180 degrees, and uses scale factors for dilations. The tutorial includes examples and exercises to reinforce learning.

What does a translation do to a shape on a coordinate plane?

• It moves the shape left, right, up, or down.

• It rotates the shape around a point.

• It changes the size of the shape.

• It flips the shape over an axis.

If you add a positive value to the x-coordinate in a translation, which direction does the shape move?

• Right

• Down

• Left

• Up

What happens to the y-coordinates of a shape when it is reflected over the x-axis?

• They stay the same.

• They become the opposite sign.

• They are added to the x-coordinates.

• They are subtracted from the x-coordinates.

In a 90-degree counterclockwise rotation, what happens to the coordinates (x, y)?

• (y, -x)

• (-y, x)

• (-x, -y)

• (x, y)

What is the rule for reflecting a shape over the y-axis?

• Subtract a constant from the y-coordinates.

• Change the sign of the x-coordinates.

• Add a constant to the x-coordinates.

• Change the sign of the y-coordinates.

What does a dilation do to a shape?

• It moves the shape left, right, up, or down.

• It changes the size of the shape.

• It rotates the shape around a point.

• It flips the shape over an axis.

If the scale factor of a dilation is less than 1, what happens to the shape?

• It flips over an axis.

• It rotates around a point.

• It gets larger.

• It gets smaller.

What is the scale factor if a shape is enlarged to twice its original size?

• 1

• 2

• 1/2

• 3

When dilating a shape from the origin, how do you find the new coordinates?

• Add the scale factor to the original coordinates.

• Multiply the original coordinates by the scale factor.

• Subtract the scale factor from the original coordinates.

• Divide the original coordinates by the scale factor.

If a shape is dilated by a scale factor of 1/2, what happens to the distances from the origin?

• They double.

• They are halved.

• They stay the same.

• They are tripled.