Understanding Dilations in Geometry

What is the primary effect of a dilation on a geometric shape?

• It reflects the shape.

• It rotates the shape.

• It alters the shape's size.

• It changes the shape's angles.

If a triangle's side lengths are multiplied by a scale factor of 2, what happens to the triangle?

• The triangle's area is halved.

• The triangle's perimeter remains the same.

• The triangle becomes larger.

• The triangle becomes smaller.

Which of the following remains unchanged after a dilation?

• The shape's area

• The shape's side lengths

• The shape's perimeter

• The shape's angle values

In Example 1, what is the scale factor if a triangle's side length changes from 3 units to 1 unit?

• 1/3

• 3

• 1/2

• 1

What is the first step in finding the scale factor of a dilation?

• Add the lengths of the original and new shapes.

• Divide the new length by the original length.

• Multiply the original length by the new length.

• Subtract the original length from the new length.

In Example 2, what is the scale factor used for the dilation about point M?

• 3

• 1

• 1/2

• 2

When dilating a point about a point other than the origin, what must be considered?

• The distance from the dilation point

• The reflection line

• The distance from the origin

• The angle of rotation

What is the new coordinate of point K after dilation about point M with a scale factor of 2?

• (4, 2)

• (5, 3)

• (6, 4)

• (3, 2)

How do you determine the new coordinates of a point after dilation?

• Subtract the scale factor from each coordinate.

• Divide each coordinate by the scale factor.

• Add the scale factor to each coordinate.

• Multiply each coordinate by the scale factor.

What is the final step in plotting a dilated point on the original coordinate plane?

• Rotate the point 90 degrees.

• Reflect the point across the origin.

• Use the original axis to find the point.

• Use the new axis to find the point.