Dilation Review

Front

What is dilation in geometry?

Back

Dilation is a transformation that alters the size of a figure but maintains its shape, either enlarging or reducing it based on a scale factor.

Front

What does a scale factor greater than 1 indicate in dilation?

Back

A scale factor greater than 1 indicates an enlargement of the figure.

Front

What does a scale factor less than 1 indicate in dilation?

Back

A scale factor less than 1 indicates a reduction of the figure.

Front

If a triangle is dilated with a scale factor of 2, what happens to its area?

Back

The area of the triangle increases by a factor of 2^2 = 4.

Front

What is the scale factor if the original coordinates of a point are (2, 3) and the dilated coordinates are (4, 6)?

Back

The scale factor is 2.

Front

How do you find the scale factor of a dilation?

Back

The scale factor can be found by dividing the coordinates of the dilated figure by the corresponding coordinates of the original figure.

Front

What is the effect of a scale factor of 1 on a figure?

Back

A scale factor of 1 means the figure remains unchanged in size.

Front

What is the relationship between the original figure and the dilated figure?

Back

The original figure and the dilated figure are similar, meaning they have the same shape but different sizes.

Front

What is the formula for calculating the new coordinates after dilation?

Back

New coordinates = (original coordinate) * (scale factor).

Front

If a quadrilateral is dilated by a scale factor of 3, what happens to its perimeter?

Back

The perimeter of the quadrilateral increases by a factor of 3.