Transformations Review

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape in some way to produce a new shape.

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 dilation in geometry?

Back

A dilation is a transformation that changes the size of a figure but not its shape, using a scale factor.

Front

How do you find the scale factor in a dilation?

Back

The scale factor is found by dividing the distance from the center of dilation to a point on the image by the distance from the center to the corresponding point on the original figure.

Front

What is the rule for rotating a point 180 degrees around the origin?

Back

The rule is (x,y) → (-x,-y).

Front

What happens to the coordinates of a point when it is reflected over the y-axis?

Back

The x-coordinate changes sign, so (x,y) becomes (-x,y).

Front

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

Back

The y-coordinate changes sign, so (x,y) becomes (x,-y).

Front

What is the effect of a translation on a shape?

Back

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

Front

What is the difference between a rotation and a reflection?

Back

A rotation turns a shape around a fixed point, while a reflection flips a shape over a line.

Front

How do you determine if a transformation is a dilation?

Back

A transformation is a dilation if the shape changes size but maintains its proportions.