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 scale factor in similar triangles?

Back

The ratio of the lengths of corresponding sides of two similar triangles.

Front

What are corresponding sides?

Back

Sides of two or more triangles that are in the same relative position.

Front

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

Back

Angle A = Angle D, Angle B = Angle E, Angle C = Angle F.

Front

How do you find the scale factor between two similar triangles?

Back

Divide the length of a side of one triangle by the length of the corresponding side of the other triangle.

Front

If the scale factor is 4, what does this imply about the sides of the triangles?

Back

The sides of the second triangle are 4 times longer than the corresponding sides of the first triangle.

Front

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

Back

The ratio of their areas is the square of the scale factor.

Front

If triangle XYZ has a scale factor of 2 compared to triangle ABC, what is the ratio of their areas?

Back

The ratio of their areas is 2^2 = 4.

Front

What are corresponding angles?

Back

Angles in two or more triangles that are in the same relative position.

Front

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

Back

The ratio of their perimeters is equal to the scale factor.