Similar Triangles

Front

What is the definition of similar triangles?

Back

Triangles that have the same shape but may have different sizes; their corresponding angles are equal and their corresponding sides are proportional.

Front

What does it mean for two triangles to be similar?

Back

It means that their corresponding angles are equal and their corresponding sides are in proportion.

Front

If ΔABC ∼ ΔDEF, what can we say about their corresponding angles?

Back

∠A = ∠D, ∠B = ∠E, ∠C = ∠F.

Front

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

Back

The lengths of their corresponding sides are proportional.

Front

What is the similarity statement for triangles?

Back

A statement that indicates that two triangles are similar, such as ΔABC ∼ ΔDEF.

Front

How can you determine if two triangles are similar using the AA criterion?

Back

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

Front

What is the SSS similarity criterion?

Back

If the corresponding sides of two triangles are in proportion, then the triangles are similar.

Front

What is the SAS similarity criterion?

Back

If two sides of one triangle are in proportion to two sides of another triangle and the included angles are equal, then the triangles are similar.

Front

If the sides of triangle A are 3, 4, and 5, and the sides of triangle B are 6, 8, and 10, are the triangles similar?

Back

Yes, because the sides are in proportion (3:6, 4:8, 5:10).

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 sides.