Question

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.

Answer 1

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.