What is congruence in geometry?
Congruence

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Mathematics
•
9th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
Congruence in geometry refers to the idea that two figures have the same shape and size. This means that one can be transformed into the other through rotations, translations, or reflections.
2.
FLASHCARD QUESTION
Front
What are the criteria for triangle congruence?
Back
The criteria for triangle congruence include: 1) Side-Side-Side (SSS), 2) Side-Angle-Side (SAS), 3) Angle-Side-Angle (ASA), 4) Angle-Angle-Side (AAS), and 5) Hypotenuse-Leg (HL) for right triangles.
3.
FLASHCARD QUESTION
Front
How can you determine if two triangles are congruent using the SSS criterion?
Back
Two triangles are congruent using the SSS criterion if all three sides of one triangle are equal in length to the three sides of the other triangle.
4.
FLASHCARD QUESTION
Front
What does the SAS criterion for triangle congruence state?
Back
The SAS criterion states that if two sides of one triangle are equal to two sides of another triangle, and the included angle between those sides is also equal, then the triangles are congruent.
5.
FLASHCARD QUESTION
Front
Explain the ASA criterion for triangle congruence.
Back
The 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.
6.
FLASHCARD QUESTION
Front
What is the AAS criterion for triangle congruence?
Back
The AAS criterion 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
Define the HL criterion for triangle congruence.
Back
The HL criterion applies to right triangles and states that if the hypotenuse and one leg of one right triangle are equal to the hypotenuse and one leg of another right triangle, then the triangles are congruent.
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