Congruent Triangle Proofs
Flashcard
•
Mathematics
•
10th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the definition of congruent triangles?
Back
Congruent triangles are triangles that are identical in shape and size, meaning their corresponding sides and angles are equal.
2.
FLASHCARD QUESTION
Front
What does the Reflexive Property state in geometry?
Back
3.
FLASHCARD QUESTION
Front
List the triangle congruence criteria. What are they?
Back
The triangle congruence criteria are: 1. SSS (Side-Side-Side) 2. SAS (Side-Angle-Side) 3. ASA (Angle-Side-Angle) 4. AAS (Angle-Angle-Side) 5. HL (Hypotenuse-Leg for right triangles).
4.
FLASHCARD QUESTION
Front
What is the SAS (Side-Angle-Side) congruence criterion?
Back
The SAS criterion states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.
5.
FLASHCARD QUESTION
Front
What is the AAS (Angle-Angle-Side) congruence criterion?
Back
The AAS criterion states that 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.
6.
FLASHCARD QUESTION
Front
What is the difference between ASA and AAS?
Back
ASA (Angle-Side-Angle) requires the included side between two angles to be congruent, while AAS (Angle-Angle-Side) does not require the side to be between the two angles.
7.
FLASHCARD QUESTION
Front
What is the SSA (Side-Side-Angle) condition? Is it a valid congruence criterion?
Back
The SSA condition is not a valid congruence criterion because it can lead to ambiguous cases where two different triangles can be formed.
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