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Using only a straightedge and compass, construct the midsegment of triangle ABC parallel to side BC. Do not erase the lines and marks that you use.

User PCK
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1 Answer

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Final answer:

To construct the midsegment of triangle ABC parallel to side BC, draw line segments AB and AC, then draw arcs from points B and C to intersect at a point D. Finally, draw line segment AD, which is the midsegment parallel to side BC.

Step-by-step explanation:

To construct the midsegment of triangle ABC parallel to side BC using only a straightedge and compass, follow these steps:

  1. Draw line segment AB and line segment AC.
  2. Using the compass, draw arcs from points B and C with the same radius, intersecting at a point D.
  3. Draw line segment AD.
  4. AD is the midsegment of triangle ABC and it is parallel to side BC.
User Ahmed Musallam
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8.1k points
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