What does it mean if two triangles are congruent?
Flashcardziz - Triangle Congruence and Properties

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•
Mathematics
•
10th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
Two triangles are congruent if they have the same size and shape, meaning all corresponding sides and angles are equal.
2.
FLASHCARD QUESTION
Front
What is the SAS (Side-Angle-Side) Congruence Postulate?
Back
The SAS Postulate states that if two sides of one triangle are congruent to two sides of another triangle and the included angle is also congruent, then the triangles are congruent.
3.
FLASHCARD QUESTION
Front
What is the ASA (Angle-Side-Angle) Congruence Postulate?
Back
The ASA Postulate states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.
4.
FLASHCARD QUESTION
Front
What is the AAS (Angle-Angle-Side) Theorem?
Back
The AAS Theorem 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.
5.
FLASHCARD QUESTION
Front
What is the definition of corresponding parts in congruent triangles?
Back
Corresponding parts are the sides and angles of two triangles that are in the same relative position.
6.
FLASHCARD QUESTION
Front
Back
7.
FLASHCARD QUESTION
Front
What information is needed to prove triangles congruent using the SAS postulate?
Back
You need two sides and the included angle to be congruent between the two triangles.
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