Similar Triangles

Front

What are similar triangles?

Back

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

Front

What is the property of corresponding angles in similar triangles?

Back

Corresponding angles in similar triangles are equal.

Front

What is the property of corresponding sides in similar triangles?

Back

The ratios of the lengths of corresponding sides are equal.

Front

If triangle ABC is similar to triangle DEF, and AB = 4 ft, DE = 8 ft, what is the ratio of their corresponding sides?

Back

The ratio is 1:2.

Front

If two triangles are similar and one side of the first triangle is 5 cm, and the corresponding side of the second triangle is 15 cm, what is the scale factor?

Back

The scale factor is 3.

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 sides.

Front

If the sides of triangle XYZ are 3 cm, 4 cm, and 5 cm, 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 sides of triangle PQR are 6 cm, 8 cm, and 10 cm.

Front

What is the term for angles that are in the same position in similar triangles?

Back

Corresponding angles.

Front

If two triangles are similar and one angle measures 30 degrees, what will the corresponding angle in the other triangle measure?

Back

30 degrees.

Front

How do you find a missing side in similar triangles?

Back

Set up a proportion using the lengths of the corresponding sides.