What is the definition of congruent triangles?
Triangle Proof Theorems

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Mathematics
•
10th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
Back
Triangles that are identical in shape and size, meaning all corresponding sides and angles are equal.
2.
FLASHCARD QUESTION
Front
What does the Side-Angle-Side (SAS) congruence theorem state?
Back
If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the triangles are congruent.
3.
FLASHCARD QUESTION
Front
What is the Angle-Angle-Side (AAS) congruence theorem?
Back
If two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle, then the triangles are congruent.
4.
FLASHCARD QUESTION
Front
Explain the Angle-Side-Angle (ASA) congruence theorem.
Back
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.
5.
FLASHCARD QUESTION
Front
What is the Side-Side-Side (SSS) congruence theorem?
Back
If all three sides of one triangle are equal to all three sides of another triangle, then the triangles are congruent.
6.
FLASHCARD QUESTION
Front
What does SSA stand for in triangle congruence?
Back
Side-Side-Angle; it does not guarantee triangle congruence.
7.
FLASHCARD QUESTION
Front
What is the significance of the included angle in triangle congruence?
Back
The included angle is the angle formed between two sides of a triangle; it is crucial for the SAS and ASA theorems.
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