Transformations STAAR Review

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 translate a point (x, y) by (a, b)?

Back

To translate a point (x, y) by (a, b), you add a to the x-coordinate and b to the y-coordinate: (x + a, y + b).

Front

What does it mean to reflect a point over the y-axis?

Back

Reflecting a point (x, y) over the y-axis changes its coordinates to (-x, y).

Front

What is the result of rotating a point (x, y) 180° about the origin?

Back

Rotating a point (x, y) 180° about the origin changes its coordinates to (-x, -y).

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 dilate a point (x, y) by a scale factor k?

Back

To dilate a point (x, y) by a scale factor k, multiply both coordinates by k: (kx, ky).

Front

What is the scale factor in dilation?

Back

The scale factor is a number that determines how much a figure is enlarged or reduced during dilation.

Front

If a point (2, 3) is translated by (3, -2), what are the new coordinates?

Back

The new coordinates are (2 + 3, 3 - 2) = (5, 1).

Front

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

Back

Reflecting a point (x, y) over the x-axis changes its coordinates to (x, -y).

Front

What is the effect of a 90° rotation about the origin on the point (x, y)?

Back

A 90° rotation about the origin changes the coordinates to (-y, x).