Similar Triangles Missing Side

Front

What is the definition of similar triangles?

Back

Similar triangles are triangles that have the same shape but may differ in size. Their corresponding angles are equal, and their corresponding sides are proportional.

Front

If two triangles are similar, what can be said about their corresponding sides?

Back

The corresponding sides of similar triangles are proportional.

Front

How do you find the missing side length in similar triangles?

Back

To find the missing side length, set up a proportion using the lengths of the corresponding sides of the similar triangles.

Front

What is the formula for setting up a proportion for similar triangles?

Back

If triangle ABC is similar to triangle DEF, then the proportion can be set up as: AB/DE = AC/DF = BC/EF.

Front

If triangle ABC is similar to triangle DEF and AB = 10, DE = 20, what is the ratio of their corresponding sides?

Back

The ratio of their corresponding sides is 1:2.

Front

What does it mean if two triangles are not similar?

Back

If two triangles are not similar, it means that their corresponding angles are not equal and/or their corresponding sides are not proportional.

Front

Find the missing side length X if triangle ABC is similar to triangle DEF, where AB = 15, DE = 30, and BC = X, EF = 60.

Back

X = 30.

Front

What is the relationship between the areas of two similar triangles?

Back

The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding side lengths.

Front

If the side lengths of triangle ABC are doubled, what happens to the area of the triangle?

Back

The area of the triangle increases by a factor of four.

Front

How can you determine if two triangles are similar using angle-angle (AA) similarity?

Back

If two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.