Common Core: High School - Geometry : Prove Triangle Theorems: CCSS.Math.Content.HSG-CO.C.10

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

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Example Question #101 : Congruence

Are the two triangles congruent?

Screen shot 2016 07 19 at 8.03.31 amScreen shot 2016 07 19 at 8.03.25 am

Possible Answers:

Yes

No

Correct answer:

Yes

Explanation:

For two triangles to be congruent they must have equal corresponding angles and sides. There are five geometric theorems that can be used to prove whether triangles are congruent or not. Since, these two triangles have two defined angles and the side defined as well, the Angle, Angle, Side geometric theorem can be used.

Screen shot 2016 07 19 at 8.03.31 amScreen shot 2016 07 19 at 8.03.25 am

Looking at the triangles the corresponding angles are equal and the correspond side is also equal therefore, the triangles are congruent.

Example Question #101 : Congruence

Are the two triangles shown congruent?

Hsg.co.c.10 q6

Possible Answers:

No

Yes

Correct answer:

No

Explanation:

For two triangles to be congruent they must have equal corresponding angles and sides. There are five geometric theorems that can be used to prove whether triangles are congruent or not. Since, these two triangles have two defined angles and the side between the angles are defined as well, the Angle, Side, Angle geometric theorem can be used.

Hsg.co.c.10 q6

Looking at the triangles the corresponding angles are not equal therefore, the triangles are not congruent.

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All Common Core: High School - Geometry Resources

6 Diagnostic Tests 83 Practice Tests Question of the Day Flashcards Learn by Concept
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