Transformation Review 2024

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure but not its shape. It is defined by a center of dilation and a scale factor.

Front

What is the scale factor in a dilation?

Back

The scale factor is a number that describes how much a figure is enlarged or reduced during a dilation. A scale factor greater than 1 enlarges the figure, while a scale factor between 0 and 1 reduces it.

Front

How do you find the coordinates of a point after dilation?

Back

To find the coordinates of a point after dilation, multiply the original coordinates by the scale factor. For example, if point A(x, y) is dilated with a scale factor of k, the new coordinates A'(kx, ky) are obtained.

Front

What happens to the angles of a shape during dilation?

Back

The angles of a shape remain unchanged during dilation. Only the size of the shape changes.

Front

What is a translation in geometry?

Back

A translation is a transformation that moves every point of a figure the same distance in a specified direction.

Front

How do you determine the new coordinates after a translation?

Back

To determine the new coordinates after a translation, add the translation values to the original coordinates. For example, if point A(x, y) is translated 3 units right and 2 units up, the new coordinates are A'(x+3, y+2).

Front

What is a reflection in geometry?

Back

A reflection is a transformation that flips a figure over a line, creating a mirror image of the original figure.

Front

How do you find the coordinates of a point after reflection over a line?

Back

To find the coordinates of a point after reflection, you need to determine the perpendicular distance from the point to the line and then place the point on the opposite side of the line at the same distance.

Front

What is the difference between dilation and translation?

Back

Dilation changes the size of a figure while keeping its shape, whereas translation moves the figure without changing its size or shape.

Front

What is the effect of a scale factor of 1/3 in dilation?

Back

A scale factor of 1/3 reduces the size of the figure to one-third of its original size.