Scaled Copies

Front

What is a scale factor in geometry?

Back

A scale factor is a number that scales, or multiplies, some quantity. In geometry, it is the ratio of the lengths of two corresponding sides of two similar figures.

Front

How do you determine the scale factor between two similar triangles?

Back

To determine the scale factor between two similar triangles, divide the length of a side of one triangle by the length of the corresponding side of the other triangle.

Front

If the scale factor from triangle ABC to triangle DEF is 2, what does this mean?

Back

This means that each side of triangle DEF is twice as long as the corresponding side of triangle ABC.

Front

What is the scale factor if the original shape and the copy are the same size?

Back

The scale factor is 1.

Front

What are corresponding sides in similar figures?

Back

Corresponding sides are the sides that are in the same position in different shapes.

Front

If the scale factor is 1/5, how does the size of the copy compare to the original?

Back

The copy is one-fifth the size of the original.

Front

What is the relationship between scale factors and area in similar figures?

Back

The area of similar figures is proportional to the square of the scale factor.

Front

If the scale factor is 4, how does the perimeter of the copy compare to the original?

Back

The perimeter of the copy is four times the perimeter of the original.

Front

What happens to the dimensions of a shape if the scale factor is greater than 1?

Back

If the scale factor is greater than 1, the dimensions of the shape increase, making it larger.

Front

What happens to the dimensions of a shape if the scale factor is less than 1?

Back

If the scale factor is less than 1, the dimensions of the shape decrease, making it smaller.