Similar Triangle Practice

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 the lengths of their corresponding sides are proportional.

Front

What is the Scale Factor in similar triangles?

Back

The Scale Factor is the number you multiply the sides of one triangle by to obtain the corresponding sides of a similar triangle.

Front

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

Back

The corresponding angles of similar triangles are equal.

Front

How do you determine if two triangles are similar using side lengths?

Back

Two triangles are similar if the ratios of the lengths of their corresponding sides are equal.

Front

What is the formula for finding the height of an object using similar triangles?

Back

Front

If triangle ABC is similar to triangle DEF, what can be said about their corresponding sides?

Back

The ratios of the lengths of corresponding sides of triangle ABC and triangle DEF are equal.

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 triangle XYZ has sides of lengths 4, 6, and 8, and triangle PQR is similar to triangle XYZ with a scale factor of 2, what are the lengths of the sides of triangle PQR?

Back

The lengths of the sides of triangle PQR are 8, 12, and 16.

Front

What is a similarity statement?

Back

Front

How can you use proportions to find a missing side length in similar triangles?

Back

Set up a proportion using the lengths of corresponding sides and solve for the missing length.