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 property of proportional sides in similar triangles?

Back

In similar triangles, the ratios of the lengths of corresponding sides are equal.

Front

If triangle A is similar to triangle B, and the sides of triangle A are 4 cm, 6 cm, and 8 cm, what are the corresponding sides of triangle B if the shortest side is 2 cm?

Back

The corresponding sides of triangle B are 3 cm (4 cm), 4.5 cm (6 cm), and 6 cm (8 cm).

Front

How do you set up a proportion to find a missing side in similar triangles?

Back

Set up a ratio of the lengths of corresponding sides from the two triangles and solve for the missing side.

Front

If triangle A has sides 5 cm, 10 cm, and 15 cm, and triangle B has a side of 10 cm, what is the length of the corresponding side in triangle B?

Back

The corresponding side in triangle B is 10 cm.

Front

What is the formula for finding the height of an object using similar triangles?

Back

Height = (Height of object / Distance from object) * Distance from observer.

Front

If two triangles are similar and the lengths of their corresponding sides are in the ratio 3:5, what is the length of a side in triangle B if the corresponding side in triangle A is 9 cm?

Back

The length of the corresponding side in triangle B is 15 cm.

Front

What is the significance of the AA criterion in similar triangles?

Back

If two angles of one triangle are equal to two angles of another triangle, the triangles are similar.

Front

If triangle A has a side length of 12 cm and triangle B has a corresponding side length of 8 cm, what is the ratio of their sides?

Back

The ratio of their sides is 12:8 or 3:2.

Front

How do you find the missing side length X in similar triangles?

Back

Use the proportion of the known sides to set up an equation and solve for X.