THS Geo Flashcardziz Triangle Similarity Postulates

Front

What does the SSS similarity postulate state?

Back

If the three sides of one triangle are proportional to the three sides of another triangle, then the triangles are similar.

Front

What does the SAS similarity postulate state?

Back

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

Front

What does the AA similarity postulate state?

Back

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

Front

How can you determine if triangles are similar using the SSS postulate?

Back

Measure the lengths of the sides of both triangles and check if the ratios of corresponding sides are equal.

Front

How can you determine if triangles are similar using the SAS postulate?

Back

Measure two sides of each triangle and the included angle; if the sides are proportional and the angle is equal, the triangles are similar.

Front

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

Back

Check if two angles of one triangle are equal to two angles of another triangle.

Front

What is an example of using the SSS similarity postulate?

Back

Triangle ABC has sides 3, 4, 5 and triangle DEF has sides 6, 8, 10. Since 3/6 = 4/8 = 5/10, triangles ABC and DEF are similar by SSS.

Front

What is an example of using the SAS similarity postulate?

Back

Triangle GHI has sides 5, 12 and an included angle of 60 degrees, while triangle JKL has sides 10, 24 and an included angle of 60 degrees. They are similar by SAS.

Front

What is an example of using the AA similarity postulate?

Back

Triangle MNO has angles 30° and 60°, and triangle PQR has angles 30° and 60°. They are similar by AA.

Front

What is the importance of triangle similarity in geometry?

Back

Triangle similarity helps in solving problems involving indirect measurement, proving geometric theorems, and understanding properties of shapes.