What does it mean for two triangles to be congruent?
Triangle Congruence

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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 their corresponding sides and angles are equal.
2.
FLASHCARD QUESTION
Front
What is the Angle-Angle-Angle (AAA) criterion for triangle congruence?
Back
The AAA criterion states that if two triangles have equal corresponding angles, they are similar, but not necessarily congruent.
3.
FLASHCARD QUESTION
Front
What is the Side-Angle-Side (SAS) theorem for triangle congruence?
Back
The SAS theorem states that if two sides of one triangle are equal to two sides of another triangle, and the included angle between those sides is equal, then the triangles are congruent.
4.
FLASHCARD QUESTION
Front
What is the Side-Side-Side (SSS) theorem for triangle congruence?
Back
The SSS theorem states that if three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.
5.
FLASHCARD QUESTION
Front
What is the Angle-Side-Angle (ASA) theorem for triangle congruence?
Back
The ASA theorem 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.
6.
FLASHCARD QUESTION
Front
What is the Angle-Angle-Side (AAS) theorem for triangle congruence?
Back
The AAS theorem states that 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.
7.
FLASHCARD QUESTION
Front
What is a rigid motion in geometry?
Back
A rigid motion is a transformation that preserves distance and angle measures, meaning the shape and size of the figure remain unchanged.
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