Transformations

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape in some way to produce a new shape. Common types include translation, rotation, reflection, and dilation.

Front

Define translation in geometry.

Back

Translation is a type of transformation that slides a figure in a straight line from one position to another without changing its size, shape, or orientation.

Front

What is reflection in geometry?

Back

Reflection is a transformation that flips a figure over a line, creating a mirror image of the original figure.

Front

What is rotation in geometry?

Back

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

Front

What is the effect of reflecting a point (x, y) across the x-axis?

Back

The coordinates of the reflected point will be (x, -y).

Front

What is the effect of reflecting a point (x, y) across the y-axis?

Back

The coordinates of the reflected point will be (-x, y).

Front

How do you translate a point (x, y) by (a, b)?

Back

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

Front

What are the coordinates of point H(3, 4) after reflecting across the x-axis?

Back

The coordinates will be H'(3, -4).

Front

What are the coordinates of point R(-3, 3) after a 90-degree clockwise rotation?

Back

The coordinates will be R'(3, -3).

Front

What is the transformation that moves a figure 2 units down?

Back

This transformation is called a translation, specifically a translation of (0, -2).