Answer the following questions related to line segments in a triangle.

MATHEMATICS · Multi-part · CBSE · Mathematics · Quadrilaterals · Quadrilaterals

Problem

Answer the following questions related to line segments in a triangle. (i) Define the midpoint of a line segment. (ii) Explain, with reasons, the relation between the segment joining the midpoints of two sides of a triangle and the third side. (iii) A student claims that if a quadrilateral has one pair of opposite sides parallel and equal in length, it must be a parallelogram. Using the idea in part (ii), describe how you could place such a quadrilateral inside a triangle to verify the student’s claim without measuring any angles. Give full reasoning.

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