What is congruence in geometry?
Congruence

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Mathematics
•
9th - 12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
Congruence in geometry means that two figures have the same shape and size. If two shapes are congruent, they can be made to coincide by rigid transformations such as translation, rotation, or reflection.
2.
FLASHCARD QUESTION
Front
What is the symbol for congruence?
Back
The symbol for congruence is '≅'.
3.
FLASHCARD QUESTION
Front
If ΔABC ≅ ΔDEF, what can we say about their corresponding angles and sides?
Back
The corresponding angles and sides of congruent triangles are equal. For example, ∠A = ∠D, ∠B = ∠E, ∠C = ∠F and AB = DE, BC = EF, AC = DF.
4.
FLASHCARD QUESTION
Front
What is the Angle-Angle (AA) criterion for triangle congruence?
Back
The Angle-Angle (AA) criterion states that if two angles of one triangle are equal to two angles of another triangle, then the triangles are congruent.
5.
FLASHCARD QUESTION
Front
What is the Side-Side-Side (SSS) criterion for triangle congruence?
Back
The Side-Side-Side (SSS) criterion states that if three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.
6.
FLASHCARD QUESTION
Front
What is the Side-Angle-Side (SAS) criterion for triangle congruence?
Back
The Side-Angle-Side (SAS) criterion states that 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.
7.
FLASHCARD QUESTION
Front
What is the Angle-Side-Angle (ASA) criterion for triangle congruence?
Back
The Angle-Side-Angle (ASA) criterion 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.
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