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Questions and Answers
What does SSS stand for in triangle congruence?
What does SSS stand for in triangle congruence?
- Side Angle Side
- Angle Angle Side
- Side Side Side (correct)
- Angle Side Angle
What is the SAS criterion for triangle congruence?
What is the SAS criterion for triangle congruence?
- If two sides are congruent and both angles are equal
- If two sides and the included angle are congruent (correct)
- If all three sides are congruent
- If two angles and a side are congruent
What does CPCTC stand for?
What does CPCTC stand for?
Corresponding Parts of Congruent Triangles are Congruent
What condition must be met for triangle congruence using ASA?
What condition must be met for triangle congruence using ASA?
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What does AAS stand for in triangle congruence?
What does AAS stand for in triangle congruence?
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What is the Hypotenuse-Leg Congruence Theorem?
What is the Hypotenuse-Leg Congruence Theorem?
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What does the Isosceles Triangle Theorem state?
What does the Isosceles Triangle Theorem state?
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What is the Converse of the Isosceles Triangle Theorem?
What is the Converse of the Isosceles Triangle Theorem?
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Study Notes
Triangle Congruence Postulates and Theorems
- Side Side Side (SSS): Triangles are congruent if all three sides of one triangle match the three sides of another triangle.
- Side Angle Side (SAS): Triangles are congruent if two sides and the angle between them in one triangle are equal to the corresponding two sides and angle in another triangle.
- Angle Side Angle (ASA): Triangles are congruent if two angles and the side between them in one triangle match the two angles and side of another triangle.
- Angle Angle Side (AAS): Triangles are congruent if two angles and a non-included side in one triangle are equal to the corresponding two angles and side of another triangle.
- Hypotenuse-Leg Theorem: For right triangles, if the hypotenuse and one leg of one triangle are equal to the hypotenuse and one leg of another triangle, the triangles are congruent.
Properties of Congruent Triangles
- Corresponding Parts of Congruent Triangles are Congruent (CPCTC): This serves as justification in proofs once two triangles have been established as congruent.
Isosceles Triangle Theorems
- Isosceles Triangle Theorem: In a triangle, if two sides are congruent, then the angles opposite those sides are also congruent (demonstrates congruent angles).
- Converse of the Isosceles Triangle Theorem: In a triangle, if two angles are congruent, then the sides opposite those angles are also congruent (demonstrates congruent sides).
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Test your knowledge on triangle congruence with these flashcards. Learn about the different criteria such as SSS and SAS. Perfect for students preparing for geometry assessments.
