Exploring Dilations in Geometry

What does dilation in geometry refer to?

• A transformation that changes the size of a figure proportionally

• A transformation that changes the position of a figure without altering its shape

• A transformation that changes the shape of a figure

• A transformation that makes a figure rigid

What is an example of non-rigid motion?

• Rotating a figure

• Reflecting a figure

• Translating a figure

• Enlarging a figure

What remains the same in similar figures?

• Color

• Perimeter

• Area

• Interior angles

What does a scale factor greater than 1 indicate?

• Rotation

• Enlargement

• No change

• Reduction

If a figure is dilated with a scale factor of 1/2, what type of transformation occurs?

• Translation

• Rotation

• Enlargement

• Reduction

What property do similar figures maintain?

• Proportional sides

• Identical size

• Same perimeter

• Same area

What does a scale factor of 3/2 indicate about the dilation?

• The figure is rotated

• It is a reduction

• It is an enlargement

• No change in size

How do you apply a scale factor to a point during dilation?

• Subtract the scale factor from the x and y coordinates

• Divide the x and y coordinates by the scale factor

• Add the scale factor to the x and y coordinates

• Multiply the x and y coordinates by the scale factor

What is the scale factor if a figure is reduced to one-third of its original size?

• 1/3

• 2/3

• 3

• 0.33

How do you find a pre-image's coordinates if the image's coordinates after dilation are known?

• Subtract the scale factor

• Add the scale factor

• Divide by the scale factor

• Multiply by the scale factor