Similar Triangles

Front

What does AA stand for in triangle similarity?

Back

AA stands for Angle-Angle. If two angles of one triangle are equal to two angles of another triangle, the triangles are similar.

Front

What does SAS stand for in triangle similarity?

Back

SAS stands for Side-Angle-Side. If two sides of one triangle are in proportion to two sides of another triangle and the included angles are equal, the triangles are similar.

Front

What does SSS stand for in triangle similarity?

Back

SSS stands for Side-Side-Side. If the corresponding sides of two triangles are in proportion, the triangles are similar.

Front

What is the criteria for two triangles to be similar using AA?

Back

Two triangles are similar if two angles of one triangle are equal to two angles of another triangle.

Front

What is the criteria for two triangles to be similar using SAS?

Back

Two triangles are similar if the lengths of two sides are proportional and the included angle is equal.

Front

What is the criteria for two triangles to be similar using SSS?

Back

Two triangles are similar if the lengths of all three corresponding sides are in proportion.

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 triangle ABC has sides of lengths 3, 4, and 5, and triangle DEF has sides of lengths 6, 8, and 10, are they similar?

Back

Yes, triangle ABC and triangle DEF are similar because their corresponding sides are in proportion (3:6, 4:8, 5:10).

Front

Can two triangles be similar if they have no equal angles?

Back

No, two triangles cannot be similar if they have no equal angles.

Front

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

Back

The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides.