Transformations

Front

What is a transformation in geometry?

Back

A transformation in geometry is an operation that moves or changes a shape in some way to produce a new shape, called the image.

Front

What are the four main types of transformations?

Back

The four main types of transformations are translation, rotation, reflection, and dilation.

Front

What is a translation?

Back

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

Front

How do you perform a rotation of a figure?

Back

To perform a rotation, you turn the figure around a fixed point, called the center of rotation, by a specified angle.

Front

What is a reflection in geometry?

Back

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

Front

What is the effect of a dilation on a shape?

Back

A dilation changes the size of a shape but maintains its proportions, defined by a scale factor.

Front

How do you find the coordinates of a point after a 90-degree clockwise rotation?

Back

To find the new coordinates after a 90-degree clockwise rotation, switch the x and y coordinates and change the sign of the new y coordinate.

Front

What happens to the coordinates of a point when it is reflected across the x-axis?

Back

When a point (x, y) is reflected across the x-axis, its new coordinates become (x, -y).

Front

What is the scale factor in a dilation?

Back

The scale factor in a dilation is the ratio of the distance from the center of dilation to a point on the image to the distance from the center of dilation to the corresponding point on the original figure.

Front

How do you translate a figure 5 units to the right and 8 units down?

Back

To translate a figure 5 units to the right and 8 units down, add 5 to the x-coordinates and subtract 8 from the y-coordinates of each point.