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

If two triangles are similar, what can we say about their corresponding angles?

Back

The corresponding angles of similar triangles are equal.

Front

If the sides of two similar triangles are in the ratio 2:3, what does this mean?

Back

It means that for every 2 units of length in one triangle, there are 3 units of length in the other triangle.

Front

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

Back

The ratio of their areas is the square of the ratio of their corresponding sides.

Front

If triangle A is similar to triangle B and the length of a side in triangle A is 4 cm, and the corresponding side in triangle B is 6 cm, what is the scale factor?

Back

The scale factor is 4:6 or 2:3.

Front

How do you find a missing side length in similar triangles?

Back

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

Front

If triangle X has sides of 3 cm, 4 cm, and 5 cm, and triangle Y is similar to triangle X with a scale factor of 2, what are the side lengths of triangle Y?

Back

The side lengths of triangle Y are 6 cm, 8 cm, and 10 cm.

Front

What is the term for two shapes that are the same shape but not the same size?

Back

Similar.

Front

If two triangles have sides of lengths 5 cm and 10 cm, are they similar?

Back

Yes, if the corresponding angles are equal, they are similar.

Front

What is the formula to find the area of a triangle?

Back

Area = 1/2 * base * height.