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Can you identify the correct property?

If you practice identifying similarity based on the AA, ASA, and SAS properties, you'll be able to remember and apply these rules or characteristics quickly and correctly. Use the activity below to become more familiar with all three properties. Decide if each set of triangles is similar, and if the two triangles are similar, decide which similarity property can be used to show that they're similar.

problem 1 triangles

AA

SAS

SSS

Not Enough Information


Great job. These triangles are similar by the SAS Similarity Property.
In these triangles, two sets of corresponding sides are in the same ratio, and the included angles are congruent.
problem 2 triangles

AA

SAS

SSS

Not Enough Information


We only know that angles A and D are congruent. That is not enough information to determine if these two triangles are similar.
We only know that angles A and D are congruent. That is not enough information to determine if these two triangles are similar.
problem 3 triangles

AA

SAS

SSS

Not Enough Information


Great job. These triangles are similar by the AA Similarity Property.
In these triangles, two sets of corresponding angles are congruent.
problem 4 triangles

AA

SAS

SSS

Not Enough Information


Great job. These triangles are similar by the SSS Similarity Property.
In these triangles, three sets of corresponding sides are in the same ratio.

Complete