MirraS772764 MirraS772764

28-10-2022
Mathematics

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in the diagram points D and E are midpoints of the sides as shown. Name two relationships between segment DE and segment BC.

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YeraldinJ281126 YeraldinJ281126

28-10-2022

Given

Triangle with midsegment

Procedure

A line segment that connects two midpoints of the sides of a triangle is called a midsegment.

First relation

[tex]DE=\frac{1}{2}BC[/tex]

Second relation

[tex]DE\Vert CB[/tex]

Conclusion: If the midpoints of any two sides of a triangle are joined by a segment, then that segment is parallel to the third side and half its length.

Answer Link

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