Exploring Dilations in Geometry

What distinguishes a dilation from a rigid transformation?

• Dilations produce figures that are similar, not congruent.

• Dilations do not affect the figure's size.

• Dilations result in figures that are congruent.

• Dilations change the orientation of the figure.

What remains unchanged during a dilation?

• The figure's size

• The figure's position

• The figure's color

• The angle measures and orientation

What is a scale factor greater than one indicative of?

• A reduction

• No change in size

• A rotation

• An enlargement

For two shapes to be considered similar, what must be true about their side lengths?

• They must be proportional.

• They must be perpendicular.

• They must be equal.

• They must be parallel.

How do you calculate the new points during a dilation with a scale factor of 2?

• Multiply the original points by 2.

• Subtract 2 from the original points.

• Add 2 to the original points.

• Divide the original points by 2.

What was the mistake made during the dilation example?

• Misreading a coordinate value

• Forgetting to multiply by the scale factor

• Using the wrong scale factor

• Incorrectly identifying the pre-image points

How is the scale factor determined from two similar figures?

• By adding the coordinates of the pre-image and image

• By dividing the coordinates of the image by those of the pre-image

• By multiplying the coordinates of the pre-image and image

• By subtracting the coordinates of the pre-image from the image

What does a scale factor of 1/2 indicate?

• An enlargement

• A rotation

• A translation

• A reduction

What tool is suggested to verify the results of a dilation?

• A ruler

• Desmos

• A protractor

• A calculator

What is the final step after calculating the points of a dilated figure?

• Glue the points into a notebook

• Calculate the perimeter

• Draw the dilated figure

• Erase the pre-image