Triangle Congruency: SSS

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•
Mathematics
•
10th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the Reflexive Property?
Back
The Reflexive Property states that any geometric figure is congruent to itself. For example, if segment AB is a part of triangle ABC, then AB ≅ AB.
2.
FLASHCARD QUESTION
Front
What does SSS stand for in triangle congruency?
Back
SSS stands for Side-Side-Side, which is a postulate that states if three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.
3.
FLASHCARD QUESTION
Front
What is the Transitive Property?
Back
The Transitive Property states that if one quantity is equal to a second quantity, and the second quantity is equal to a third quantity, then the first quantity is equal to the third. In terms of congruence, if triangle A is congruent to triangle B, and triangle B is congruent to triangle C, then triangle A is congruent to triangle C.
4.
FLASHCARD QUESTION
Front
What is the definition of congruent triangles?
Back
Congruent triangles are triangles that have the same size and shape, meaning their corresponding sides and angles are equal.
5.
FLASHCARD QUESTION
Front
If BC ≅ DC and AC ≅ EC, what can be concluded about triangles ABC and DEC?
Back
If BC ≅ DC and AC ≅ EC, then by the SSS postulate, triangles ABC and DEC are congruent.
6.
FLASHCARD QUESTION
Front
What is the importance of the SSS postulate in triangle congruency?
Back
The SSS postulate is important because it provides a method to prove that two triangles are congruent based solely on the lengths of their sides.
7.
FLASHCARD QUESTION
Front
Can two triangles be congruent if only two sides are known to be equal?
Back
No, two triangles cannot be proven congruent with only two sides known to be equal; additional information about angles or the third side is needed.
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