Final Review - Transformations

Front

What is a translation in geometry?

Back

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

Front

How do you write a translation rule?

Back

A translation rule is written in the form (x + a, y + b), where 'a' and 'b' are the horizontal and vertical shifts, respectively.

Front

What happens to the coordinates of a point when it is translated left by 4 units?

Back

The x-coordinate decreases by 4, resulting in (x - 4, y).

Front

What is dilation in geometry?

Back

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

Front

How do you perform a dilation with a scale factor of 1/2 on point A (x, y)?

Back

The new coordinates will be (x/2, y/2).

Front

What does it mean for a shape to be symmetrical?

Back

A shape is symmetrical if it can be divided into two identical halves that are mirror images of each other.

Front

What is the effect of reflecting a point over the x-axis?

Back

Reflecting a point (x, y) over the x-axis results in the point (x, -y).

Front

What is the effect of reflecting a point over the y-axis?

Back

Reflecting a point (x, y) over the y-axis results in the point (-x, y).

Front

What is the sequence of transformations?

Back

The sequence of transformations is the order in which multiple transformations are applied to a figure.

Front

If a point is translated 5 units to the right and 4 units down, what is the translation rule?

Back

The translation rule is (x + 5, y - 4).