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, 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

Define translation in geometry.

Back

Translation is a transformation that moves every point of a shape the same distance in the same direction.

Front

What is the effect of translating a point (x, y) 3 units left and 2 units down?

Back

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

Front

Define rotation in geometry.

Back

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

Front

What is reflection in geometry?

Back

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

Front

What is dilation in geometry?

Back

Dilation is a transformation that changes the size of a shape but keeps its proportions the same, defined by a scale factor.

Front

How do you find the coordinates of a point after dilation?

Back

Multiply the original coordinates by the scale factor.

Front

What is the scale factor in dilation?

Back

The scale factor is a number that describes how much a shape is enlarged or reduced during dilation.

Front

If point A(2, 3) is dilated by a scale factor of 2, what are the new coordinates?

Back

The new coordinates are A'(4, 6).