SSS and SAS Triangle Congruence

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•
Mathematics
•
7th - 12th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What does SSS stand for in triangle congruence?
Back
SSS stands for 'Side-Side-Side', a theorem that states if three sides of one triangle are equal to three sides of another triangle, then the two triangles are congruent.
2.
FLASHCARD QUESTION
Front
What does SAS stand for in triangle congruence?
Back
SAS stands for 'Side-Angle-Side', a theorem that states if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the two triangles are congruent.
3.
FLASHCARD QUESTION
Front
What is the SSS Congruence Theorem?
Back
The SSS Congruence Theorem states that if three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.
4.
FLASHCARD QUESTION
Front
What is the SAS Congruence Theorem?
Back
The SAS Congruence Theorem states that if two sides and the angle between them in one triangle are equal to two sides and the angle between them in another triangle, then the triangles are congruent.
5.
FLASHCARD QUESTION
Front
Can two triangles be congruent if only one side is known?
Back
No, knowing only one side is not enough to prove triangle congruence; more information is needed.
6.
FLASHCARD QUESTION
Front
If two triangles have two equal sides and a non-included angle, are they congruent?
Back
No, two triangles with two equal sides and a non-included angle are not necessarily congruent; this is known as the SSA condition.
7.
FLASHCARD QUESTION
Front
What is the importance of the included angle in SAS?
Back
The included angle is crucial in SAS because it is the angle formed between the two sides being compared, which helps establish congruence.
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