Transformations - Translations, Reflections, Rotations, Dilation

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.

Front

Define translation in geometry.

Back

Translation is a type of transformation that slides a figure a certain distance in a specified direction.

Front

What is a reflection in geometry?

Back

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

Front

Explain rotation in geometry.

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 not its shape, using a scale factor.

Front

How do you perform a translation of a point?

Back

To translate a point, add the translation vector to the coordinates of the point.

Front

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

Back

The coordinates become (x, -y).

Front

What is the result of rotating a point (x, y) 90° clockwise around the origin?

Back

The new coordinates will be (y, -x).

Front

How do you find the image of a point after a 180° rotation around the origin?

Back

The new coordinates will be (-x, -y).

Front

What is the effect of translating a point 3 units to the left and 2 units up?

Back

The new coordinates will be (x - 3, y + 2).