Dilations

How do you find the coordinates of a dilated point using a scale factor?

• Add the original coordinates to the scale factor.

• Subtract the scale factor from the original coordinates.

• Multiply the original coordinates by the scale factor.

• Divide the original coordinates by the scale factor.

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

• A reduction occurs when the scale factor is greater than 1.

• An enlargement occurs when the scale factor is greater than 1.

• No dilation occurs when the scale factor is greater than 1.

• A reflection occurs when the scale factor is greater than 1.

How do you determine if a dilation is an enlargement or reduction?

• Compare the scale factor to 1: if >1 it's an enlargement, if <1 it's a reduction.

• If the shape becomes larger, it's an enlargement; if smaller, it's a reduction.

• Dilation always results in an enlargement regardless of the scale factor.

• The dilation is an enlargement if the original shape is larger than the new shape.

True or False: A dilation can change the shape of a figure.

• True

• False

• Only for certain shapes

• It depends on the size of the figure

What is a scale factor?

• A scale factor is a number that scales, or multiplies, the dimensions of a figure during a dilation.

• A scale factor is a measurement of the area of a figure.

• A scale factor is a ratio that compares the lengths of two figures.

• A scale factor is a constant that determines the color of a figure.

What is the rule for dilating a point (x, y) by a scale factor of 1/2?

• (x, y) → (1/2 x, 1/2 y)

• (x, y) → (2x, 2y)

• (x, y) → (x/2, y/2)

• (x, y) → (x + 1/2, y + 1/2)

What is the relationship between the original figure and its image after dilation?

• The original figure and its image are identical in size and shape.

• The original figure and its image are similar, meaning they have the same shape but different sizes.

• The original figure and its image are completely different shapes.

• The original figure and its image are congruent, meaning they have the same size but different shapes.

What is the formula for the coordinates of a point after dilation?

• (x, y)

• (kx, ky)

• (x/k, y/k)

• (kx^2, ky^2)

What is a dilation in geometry?

• A transformation that alters the size of a figure but not its shape, using a scale factor.

• A method to rotate a figure around a point.

• A technique to reflect a figure across a line.

• A process to translate a figure to a different location.

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

• The figure is enlarged.

• The figure is reduced in size.

• The figure remains the same size; it is unchanged.

• The figure is flipped upside down.