Similar Triangles

Front

What does AA stand for in triangle similarity?

Back

AA stands for Angle-Angle similarity, which states that 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 similarity, which states that 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 similarity, which states that if the corresponding sides of two triangles are in proportion, the triangles are similar.

Front

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

Back

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

Front

How can you determine if two triangles are similar using SAS?

Back

If two sides of one triangle are proportional to two sides of another triangle and the included angle is equal, then the triangles are similar by SAS.

Front

How can you determine if two triangles are similar using SSS?

Back

If the lengths of the corresponding sides of two triangles are in the same ratio, then the triangles are similar by SSS.

Front

What is the significance of similar triangles in geometry?

Back

Similar triangles maintain the same shape but may differ in size, allowing for the use of proportional reasoning in solving problems.

Front

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

Back

No, two triangles cannot be similar if they do not have at least two equal angles.

Front

What is a real-world application of similar triangles?

Back

Similar triangles can be used in architecture and engineering to create scale models and to calculate heights and distances indirectly.

Front

If triangle ABC is similar to triangle DEF, what can be said about their corresponding angles?

Back

The corresponding angles of triangle ABC and triangle DEF are equal.