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If three sides of one triangle are congruent to three sides of a second triangle, the triangles are congruent

publish date2025/11/29 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:

Diagram

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


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