Dilations

What is the relationship between the original figure and the dilated figure?

• They are identical figures with the same size and shape.

• They are similar figures, meaning they have the same shape but different sizes.

• They are completely different figures with no relation.

• They are congruent figures, meaning they have the same size and shape.

How can you visually represent a dilation on a coordinate plane?

• By plotting the original figure and its dilated image, showing the transformation based on the scale factor.

• By drawing only the original figure without any transformations.

• By connecting the midpoints of the original figure's sides to form a new shape.

• By using a ruler to measure the distances between points in the original figure.

What is the scale factor in a dilation?

• The ratio of the length of a side of the image to the length of the corresponding side of the original figure.

• The difference in area between the image and the original figure.

• The sum of the lengths of all sides of the image and the original figure.

• The angle of rotation applied to the original figure.

How do you write the algebraic notation for a dilation with a scale factor of 2?

• (x, y) goes to (2x, 2y).

• (x, y) goes to (x/2, y/2).

• (x, y) goes to (x+2, y+2).

• (x, y) goes to (2x + 1, 2y + 1).

What is the effect of a scale factor of 1 on a figure?

• The figure remains unchanged.

• The figure is enlarged.

• The figure is reduced in size.

• The figure is flipped.

What is a dilation?

• A transformation that produces a similar figure by enlarging or reducing it based on a scale factor.

• A method of measuring angles in geometry.

• A process of rotating a figure around a point.

• A technique for calculating the area of a shape.

If the scale factor is greater than 1, what type of dilation is it?

• A contraction.

• An enlargement.

• A reduction.

• A transformation.

If a point is dilated to a smaller size, what can you say about the scale factor?

• The scale factor is greater than 1.

• The scale factor is equal to 1.

• The scale factor is less than 1.

• The scale factor is negative.

Can a dilation be both an enlargement and a reduction?

• No, it can only be one or the other.

• Yes, depending on the scale factor.

• Only if the shape is symmetrical.

• It can only be a reduction.

What happens to the coordinates of a point (x, y) when it is dilated by a scale factor of ½?

• The new coordinates will be (x, y).

• The new coordinates will be (2x, 2y).

• The new coordinates will be (½x, ½y).

• The new coordinates will be (x/2, y/2).