Similarity and Scale Factor

Front

What is the definition of scale factor in geometry?

Back

The 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 if two shapes are similar?

Back

Two shapes are similar if their corresponding angles are equal and the lengths of their corresponding sides are proportional.

Front

What happens to the size of a figure when the scale factor is less than 1?

Back

The figure gets smaller.

Front

If the scale factor from shape A to shape B is 3/2, what does this indicate about the size of shape B compared to shape A?

Back

Shape B is 1.5 times larger than shape A.

Front

What is the relationship between congruent shapes and scale factors?

Back

Congruent shapes have a scale factor of 1, meaning they are the same size and shape.

Front

Can two figures be similar if they are not congruent?

Back

Yes, two figures can be similar without being congruent, as they can have the same shape but different sizes.

Front

What is the scale factor from triangle DEF to triangle ABC if DEF is twice the size of ABC?

Back

The scale factor is 2.

Front

If a figure is enlarged by a scale factor of 4, how does this affect the area of the figure?

Back

The area of the figure increases by a factor of 4^2, which is 16 times larger.

Front

What is the scale factor from rectangle ABCD to rectangle MNOP if the lengths of the sides are in the ratio 2:3?

Back

The scale factor is 2/3.

Front

How can you find the scale factor between two similar triangles?

Back

Divide the length of a side of one triangle by the length of the corresponding side of the other triangle.