Solving similar triangles

Front

What is a similar triangle?

Back

A triangle that has the same shape as another triangle but may differ in size. The corresponding angles are equal, and the lengths of corresponding sides are proportional.

Front

What is the Scale Factor in similar triangles?

Back

The number you multiply by the sides of one triangle to obtain the sides of a similar triangle.

Front

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

Back

The corresponding angles of triangle ABC and triangle DEF are equal.

Front

If the sides of triangle ABC are 3, 4, and 5, and the scale factor to triangle DEF is 2, what are the lengths of the sides of triangle DEF?

Back

The sides of triangle DEF are 6, 8, and 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 scale factor from triangle ABC to triangle DEF is 3, and the area of triangle ABC is 20 square units, what is the area of triangle DEF?

Back

The area of triangle DEF is 180 square units.

Front

What is the Corresponding Side in similar triangles?

Back

A side in one triangle that is proportional to a side in another similar triangle.

Front

How do you find the length of a side in a similar triangle?

Back

Use the scale factor to multiply the length of the corresponding side in the original triangle.

Front

What is the first step in solving problems involving similar triangles?

Back

Identify the corresponding angles and sides.

Front

If angle A in triangle ABC is 30 degrees, what is the corresponding angle in triangle DEF if they are similar?

Back

Angle D in triangle DEF is also 30 degrees.