Similar Triangles

Front

What are similar figures?

Back

Two objects that are the same shape but not the same size are called similar figures.

Front

What must be true about the sides of similar figures?

Back

The sides in similar figures must be proportional.

Front

What is the sum of the angles in a triangle?

Back

The angles in a triangle add up to 180 degrees.

Front

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

Back

The corresponding angles of similar triangles are equal.

Front

What is the relationship between the lengths of corresponding sides in similar triangles?

Back

The lengths of corresponding sides in similar triangles are in proportion.

Front

How do you solve for a variable in a proportion?

Back

Cross-multiply and then isolate the variable.

Front

If the ratio of the sides of two similar triangles is 3:5, what is the ratio of their areas?

Back

The ratio of their areas is 3^2:5^2 or 9:25.

Front

What is a scale factor in similar triangles?

Back

The scale factor is the ratio of the lengths of corresponding sides of two similar figures.

Front

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

Back

The ratio of the perimeters of triangle ABC to triangle DEF is equal to the ratio of their corresponding sides.

Front

What is the formula for finding the area of a triangle?

Back

Area = 1/2 * base * height.