Congruent Triangles

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•
Mathematics
•
9th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What does it mean for two triangles to be congruent?
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 SSS Congruence Postulate?
Back
The SSS (Side-Side-Side) Congruence Postulate states that if three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.
3.
FLASHCARD QUESTION
Front
What does SAS stand for in triangle congruence?
Back
SAS stands for Side-Angle-Side, which is a method to prove triangle congruence by showing that two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle.
4.
FLASHCARD QUESTION
Front
What does ASA stand for in triangle congruence?
Back
ASA stands for Angle-Side-Angle, which is a method to prove triangle congruence by showing that two angles and the included side of one triangle are equal to two angles and the included side of another triangle.
5.
FLASHCARD QUESTION
Front
What is the AAA criterion?
Back
AAA (Angle-Angle-Angle) states that if two triangles have equal corresponding angles, they are similar, but not necessarily congruent.
6.
FLASHCARD QUESTION
Front
If ∆ABC≅∆XYZ, what can we say about their corresponding sides?
Back
If ∆ABC is congruent to ∆XYZ, then AB≅XY, BC≅YZ, and AC≅XZ.
7.
FLASHCARD QUESTION
Front
What is the difference between similar and congruent triangles?
Back
Similar triangles have the same shape but not necessarily the same size, while congruent triangles have both the same shape and size.
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