finding missing sides of similar triangles

Front

What are similar triangles?

Back

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

Front

What is the Side-Side-Side (SSS) similarity criterion?

Back

If the corresponding sides of two triangles are in proportion, then the triangles are similar.

Front

What is the Side-Angle-Side (SAS) similarity criterion?

Back

If one angle of a triangle is equal to one angle of another triangle and the sides including these angles are in proportion, then the triangles are similar.

Front

How do you find the missing side of similar triangles?

Back

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

Front

If triangle A has sides 4, 6, and 8, and triangle B has a side of 12, what is the corresponding side in triangle A?

Back

The corresponding side in triangle A is 8.

Front

What is the formula for finding the scale factor of similar triangles?

Back

Scale factor = length of a side in one triangle / length of the corresponding side in the other triangle.

Front

If triangle A is similar to triangle B with a scale factor of 2, and the length of a side in triangle A is 5, what is the length of the corresponding side in triangle B?

Back

The length of the corresponding side in triangle B is 10.

Front

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

Back

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

Front

If the sides of triangle A are 3, 4, and 5, and triangle B is similar with a scale factor of 3, what are the sides of triangle B?

Back

The sides of triangle B are 9, 12, and 15.

Front

What is a proportion?

Back

An equation that states that two ratios are equal.