What does AAA stand for in triangle congruence theorems?
Triangle Congruence Theorems

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Mathematics
•
9th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
AAA stands for Angle-Angle-Angle, which is NOT a triangle congruence theorem because it does not guarantee that the triangles are congruent.
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 equal to two angles and the included side of another triangle, then the triangles are congruent.
3.
FLASHCARD QUESTION
Front
What is the SSS triangle congruence theorem?
Back
SSS stands for Side-Side-Side, which 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 HL triangle congruence theorem?
Back
HL stands for Hypotenuse-Leg, which applies to right triangles and states that if the hypotenuse and one leg of one right triangle are equal to the hypotenuse and one leg of another right triangle, then the triangles are congruent.
5.
FLASHCARD QUESTION
Front
What is the significance of triangle congruence theorems in geometry?
Back
Triangle congruence theorems are used to prove that two triangles are congruent, which means they have the same size and shape, allowing for the application of various geometric principles.
6.
FLASHCARD QUESTION
Front
Can two triangles be congruent if only their angles are known?
Back
No, knowing only the angles (AAA) does not guarantee congruence, as it can lead to similar triangles that are not congruent.
7.
FLASHCARD QUESTION
Front
What is the difference between congruence and similarity in triangles?
Back
Congruence means that two triangles are identical in size and shape, while similarity means that two triangles have the same shape but may differ in size.
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