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Earn +20 ptsQ: What connects the midpoints of two sides of a triangle?
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In triangle ABC P and Q are the mid points of AB and AC prove that PQ parallel to BC?
In triangle ABC, let P and Q be the midpoints of sides AB and AC, respectively. By the Midpoint Theorem, the line segment connecting the midpoints of two sides of a triangle is parallel to the third side and half its length. Therefore, since PQ connects the midpoints P and Q, it follows that PQ is parallel to side BC of triangle ABC. This establishes that PQ is parallel to BC, as required.
What is a segment whose endpoints are the midpoints of the two sides?
Moderates
What are the midpoints of two opposite sides in a square?
They are points that are halfway along two of the sides of a square, the sides being opposite one another.
What is a segment that helps connect the midpoints of two sides of a figure?
There is no specific name.
Can a square have a line of symmetry?
Diagonals between two opposite corners, and a vertical line between midpoints of 2 opposite sides, and a horizontal line between midpoints of the other pair of sides.
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