Transformations

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape in some way to create a new shape. The new shape is 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 reflect a point across the x-axis?

Back

To reflect a point (x, y) across the x-axis, the new coordinates will be (x, -y).

Front

How do you reflect a point across the y-axis?

Back

To reflect a point (x, y) across the y-axis, the new coordinates will be (-x, y).

Front

What happens to the coordinates of a point when it is rotated 90 degrees clockwise?

Back

When a point (x, y) is rotated 90 degrees clockwise, the new coordinates will be (y, -x).

Front

What happens to the coordinates of a point when it is rotated 90 degrees counterclockwise?

Back

When a point (x, y) is rotated 90 degrees counterclockwise, the new coordinates will be (-y, x).

Front

If point H(-6, 2) is translated 4 units up and 3 units right, what are the new coordinates?

Back

The new coordinates are (-3, 6).

Front

What is the result of translating a point 3 units to the left and 9 units down?

Back

If point X has coordinates (x, y), after translation, the new coordinates will be (x-3, y-9).

Front

How do you determine the coordinates of a point after a reflection?

Back

To determine the coordinates after a reflection, apply the appropriate rule based on the line of reflection (x-axis, y-axis, or another line).