Triangle Congruence

Flashcard
•
Mathematics
•
9th Grade
•
Hard
+1
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What does AAS stand for in triangle congruence?
Back
AAS stands for Angle-Angle-Side, a theorem that states if two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle, then the triangles are congruent.
Tags
CCSS.HSG.SRT.B.5
2.
FLASHCARD QUESTION
Front
What is the ASA triangle congruence theorem?
Back
ASA stands for Angle-Side-Angle, which states that if two angles and the included side of one triangle are congruent to two angles and the corresponding included side of another triangle, then the triangles are congruent.
Tags
CCSS.HSG.SRT.B.5
3.
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 congruent to two sides and the corresponding included angle of another triangle, then the triangles are congruent.
Tags
CCSS.HSG.SRT.B.5
4.
FLASHCARD QUESTION
Front
What is the definition of triangle congruence?
Back
Triangle congruence means that two triangles are identical in shape and size, which can be proven using various congruence theorems.
Tags
CCSS.8.G.A.2
5.
FLASHCARD QUESTION
Front
Can two triangles be congruent if only one angle is known?
Back
No, knowing only one angle is not sufficient to prove triangle congruence; at least two angles or one side must also be known.
Tags
CCSS.8.G.A.2
6.
FLASHCARD QUESTION
Front
What is the significance of the 'included side' in triangle congruence theorems?
Back
The included side is the side that lies between two angles in a triangle; it is crucial for the SAS and ASA theorems to establish congruence.
Tags
CCSS.HSG.SRT.B.5
7.
FLASHCARD QUESTION
Front
What triangle congruence theorem can be used if two sides and a non-included angle are known?
Back
The SSA (Side-Side-Angle) condition does not guarantee triangle congruence, as it can lead to ambiguous cases.
Tags
CCSS.HSG.SRT.B.5
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