Translations, Rotations, Reflections, and Dilations.

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

What does it mean to translate a shape?

Back

To translate a shape means to slide it in a straight line from one position to another without changing its size, shape, or orientation.

Front

Define rotation in the context of transformations.

Back

Rotation is a transformation that turns a figure around a fixed point, called the center of rotation, by a certain angle.

Front

What is dilation in geometry?

Back

Dilation is a transformation that changes the size of a figure but keeps its shape the same, using a scale factor.

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

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

Back

When a point (x, y) is reflected across the y-axis, the new coordinates will be (-x, y).

Front

If a triangle has vertices at (2, 3), (4, 5), and (6, 7), what are the coordinates after a reflection across the x-axis?

Back

The new coordinates will be (2, -3), (4, -5), and (6, -7).

Front

What is the effect of a translation of 5 units to the right on the point (3, 4)?

Back

The new coordinates will be (8, 4).

Front

How do you perform a dilation with a scale factor of 2 on the point (3, 4)?

Back

The new coordinates will be (6, 8).

Front

What is the result of rotating a point (1, 0) 90 degrees counterclockwise around the origin?

Back

The new coordinates will be (0, 1).