Similarity

Front

What does it mean for two figures to be similar?

Back

Two figures are similar if they have the same shape but not necessarily the same size, and their corresponding sides are proportional.

Front

What is a scale factor in similarity?

Back

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

Front

If two triangles have side lengths of 3, 4, and 5 and 6, 8, and 10, are they similar?

Back

Yes, they are similar because the side lengths are proportional (3:6 = 1:2, 4:8 = 1:2, 5:10 = 1:2).

Front

How do you determine if two figures are similar?

Back

To determine if two figures are similar, check if their corresponding angles are equal and their corresponding sides are proportional.

Front

What is the relationship between corresponding angles in similar figures?

Back

In similar figures, corresponding angles are always equal.

Front

If the scale factor of two similar triangles is 2, what does this mean for their areas?

Back

If the scale factor is 2, the area of the larger triangle is 2^2 = 4 times the area of the smaller triangle.

Front

What is the scale factor if the lengths of corresponding sides are 5 and 10?

Back

The scale factor is 10/5 = 2.

Front

Can two figures be similar if their corresponding sides are not proportional?

Back

No, two figures cannot be similar if their corresponding sides are not proportional.

Front

If triangle ABC is similar to triangle DEF, and the length of side AB is 4 and side DE is 8, what is the scale factor?

Back

The scale factor is 8/4 = 2.

Front

What does it mean if two triangles are not similar?

Back

If two triangles are not similar, it means they do not have the same shape, and their corresponding sides are not proportional.