Common Core: High School - Geometry : AA Criterion using Similarity Transformations: CCSS.Math.Content.HSG-SRT.A.3

Study concepts, example questions & explanations for Common Core: High School - Geometry

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All Common Core: High School - Geometry Resources

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Example Questions

Example Question #141 : High School: Geometry

Are triangles A and C similar?

Hsg.srt.a.3 10

Possible Answers:

Yes

No

Correct answer:

Yes

Explanation:

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.

Screen shot 2016 07 19 at 6.30.23 am

Two angles are given and the third can be calculated.

Now, look at triangle C.

Screen shot 2016 07 19 at 6.30.28 am

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.

Hsg.srt.a.3 7

In triangle ABC, angle A measures 73 degrees. In triangle JKL, angle K measures 34 degrees.

Possible Answers:

More information is needed.

The triangles are similar.

The triangles are not similar.

Correct answer:

More information is needed.

Explanation:

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. 

Hsg.srt.a.3 7

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.

All Common Core: High School - Geometry Resources

6 Diagnostic Tests 114 Practice Tests Question of the Day Flashcards Learn by Concept
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