Geometric Transformations REVIEW

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

How do coordinates change when a figure is reflected across the x-axis?

Back

The y-coordinates of the points are negated. (x, y) becomes (x, -y).

Front

What is the rule for reflecting a point over the line y = -x?

Back

The coordinates change from (x, y) to (-y, -x).

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 represent a translation vector?

Back

A translation vector is represented as ⟨a, b⟩, where 'a' is the horizontal shift and 'b' is the vertical shift.

Front

What happens to the coordinates of a point after a 90° clockwise rotation?

Back

The coordinates change from (x, y) to (y, -x).

Front

What is dilation in geometry?

Back

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 dilation?

Back

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

Front

What is the effect of a scale factor greater than 1 in dilation?

Back

A scale factor greater than 1 enlarges the figure.

Front

What is the effect of a scale factor between 0 and 1 in dilation?

Back

A scale factor between 0 and 1 reduces the size of the figure.