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If three sides of one triangle are congruent to three sides of a second triangle, the triangles are congruent
publish date: 2025/11/29 21:50:51.650893 UTC
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Correct Answer
True
Explanation
This is called SSS Property
We can prove that the triangles shown below are congruent by the SSS property:
Since m(\( \overline{CD} \)) = 3 and m(\( \overline{ST} \)) = 3, the segments are congruent.
\( \overline{CD} \) ≅ \( \overline{ST} \)
Since m(\( \overline{DE} \)) = 4 and m(\( \overline{TR} \)) = 4, the segments are congruent.
\( \overline{DE} \) ≅ \( \overline{TR} \)
Since m(\( \overline{EC} \)) = 5 and m(\( \overline{RS} \)) = 5, the segments are congruent.
\( \overline{EC} \) ≅ \( \overline{RS} \)
Therefore, \( \triangle CDE \) ≅ \( \triangle STR \)
Reference
Mathematics for college students
