All Common Core: High School - Geometry Resources
Example Questions
Example Question #141 : High School: Geometry
Are triangles A and C similar?
Yes
No
Yes
To determine whether triangles are similar recall what "similar" means and the AA criterion. To be "similar" triangles need to have congruent angles. Also recall that all triangles have interior angles that sum to 180 degrees.
Knowing this, look at triangle A.
Two angles are given and the third can be calculated.
Now, look at triangle C.
Since triangles A and C have the same angle measurements, they are considered to be similar. Therefore, the answer to the question is "yes".
Example Question #12 : Aa Criterion Using Similarity Transformations: Ccss.Math.Content.Hsg Srt.A.3
Determine whether the triangles are similar.
In triangle ABC, angle A measures 73 degrees. In triangle JKL, angle K measures 34 degrees.
More information is needed.
The triangles are similar.
The triangles are not similar.
More information is needed.
To determine whether triangles are similar recall what "similar" means and the AA identity. To be "similar" triangles need to have congruent angles. Also recall that all triangles have interior angles that sum to 180 degrees.
In , and in the .
Since only one angle is known from each triangle there is not enough information to determine whether these two triangles are similar by the AA criterion.
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