Transformations

Front

What is a transformation in geometry?

Back

A transformation is a mathematical operation that moves or changes a shape in some way, including translations, rotations, reflections, and dilations.

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

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, the dimensions of a figure during a dilation.

Front

If a figure is dilated by a scale factor of 2, what happens to its size?

Back

The figure is enlarged to twice its original size.

Front

If a figure is dilated by a scale factor of 1/2, what happens to its size?

Back

The figure is reduced to half its original size.

Front

How do you find the coordinates of a dilated point?

Back

Multiply the original coordinates by the scale factor. For example, if point A(3, 4) is dilated by a scale factor of 2, the new coordinates are A'(6, 8).

Front

What does it mean if the scale factor is greater than 1?

Back

It means the figure is enlarged.

Front

What does it mean if the scale factor is less than 1?

Back

It means the figure is reduced.

Front

What is the formula for finding the scale factor between two similar figures A and B?

Back

The scale factor is found by dividing the length of a side of figure B by the length of the corresponding side of figure A: Scale Factor = Length of B / Length of A.

Front

If triangle A has sides of length 3, 4, and 5, and triangle B has sides of length 6, 8, and 10, what is the scale factor from A to B?

Back

The scale factor is 2, since each side of triangle B is twice the length of the corresponding side of triangle A.