Triangle Congruence Theorems

Flashcard
•
Mathematics
•
9th - 11th Grade
•
Hard
Standards-aligned
Wayground Content
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15 questions
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1.
FLASHCARD QUESTION
Front
What does SSS stand for in triangle congruence?
Back
SSS stands for Side-Side-Side, a theorem stating that if three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.
Tags
CCSS.HSG.SRT.B.5
2.
FLASHCARD QUESTION
Front
What does ASA stand for in triangle congruence?
Back
ASA stands for Angle-Side-Angle, a theorem stating that if two angles and the side between them in one triangle are equal to two angles and the side between them in another triangle, then the triangles are congruent.
Tags
CCSS.HSG.SRT.B.5
3.
FLASHCARD QUESTION
Front
What does AAS stand for in triangle congruence?
Back
AAS stands for Angle-Angle-Side, a theorem stating 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.
Tags
CCSS.HSG.SRT.B.5
4.
FLASHCARD QUESTION
Front
What does SAS stand for in triangle congruence?
Back
SAS stands for Side-Angle-Side, a theorem stating that if two sides and the angle between them in one triangle are equal to two sides and the angle between them in another triangle, then the triangles are congruent.
Tags
CCSS.HSG.SRT.B.5
5.
FLASHCARD QUESTION
Front
What is the significance of the SSA condition in triangle congruence?
Back
SSA (Side-Side-Angle) does not guarantee triangle congruence because it can lead to ambiguous cases where two different triangles can be formed.
Tags
CCSS.8.G.A.2
6.
FLASHCARD QUESTION
Front
How do you denote congruent triangles?
Back
Congruent triangles are denoted using the symbol '≅'. For example, if triangle ABC is congruent to triangle DEF, it is written as triangle ABC ≅ triangle DEF.
Tags
CCSS.8.G.A.2
7.
FLASHCARD QUESTION
Front
If triangle XYZ is congruent to triangle XWZ, how do you name the corresponding angles?
Back
If triangle XYZ is congruent to triangle XWZ, then angle X corresponds to angle X, angle Y corresponds to angle W, and angle Z corresponds to angle Z.
Tags
CCSS.HSG.CO.B.7
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