To verify the mid-point theorem for a triangle.
The line segment connecting the midpoints of two sides of a triangle is parallel to the third side and is congruent to one half of the third side.
1.Parallel Lines:
Two lines are parallel if they do not meet at any point.
2.Congruent Triangles:
Two triangles are congruent if their corresponding angles and corresponding sides are equal.
3.Similar triangles:
Two triangles are similar if their corresponding angles equal and their corresponding sides are in proportion.
AP=PB, AQ=QC.
PQ || BC and PQ=1/2 BC
To prove ▲ APQ ≅ ▲ QRC
Since midpoints are unique, and the lines connecting points are unique, the proposition is proven.