Math Problem Statement
Choose SSS, SAS, or neither to compare these two triangles.
Solution
The image displays two triangles with markings that indicate corresponding sides and angles are congruent. The problem asks to choose between SSS (Side-Side-Side), SAS (Side-Angle-Side), or "neither" to compare these two triangles.
Analysis:
- Both triangles show that all three sides of one triangle are congruent to the three sides of the other triangle (the markings on the sides confirm this).
- There are no indications of angle congruence other than the markings on the sides.
Since all three sides are congruent, the correct choice is SSS (Side-Side-Side), meaning the two triangles are congruent by the SSS criterion.
Would you like more details on triangle congruence or have any questions?
Related Questions:
- What is the SAS criterion for triangle congruence?
- How does the ASA (Angle-Side-Angle) criterion differ from SSS?
- Can triangles be congruent if only two sides are given as equal?
- What is the HL (Hypotenuse-Leg) criterion for right triangles?
- How can you determine congruence if no sides but all angles are known?
Tip:
When using SSS to determine congruence, make sure all three sides are marked as equal; angle information is unnecessary.
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Math Problem Analysis
Mathematical Concepts
Triangle Congruence
Geometric Proofs
Formulas
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Theorems
SSS Congruence Theorem
SAS Congruence Theorem
Suitable Grade Level
Grades 8-10