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6-9 Coordinate Geometry Proofs WKST
Write a coordinate proof for the following theorems.
1)
If a segment joins the midpoints of a triangle, then the segment is parallel to the third side of
the triangle and half as long.
Setup your coordinates below.
Given:
Prove:
Write your proof in a clear outlined fashion.
2)
If a quadrilateral is a parallelogram, then its diagonals bisect each other.
Setup your coordinates below.
Given:
Prove:
Write your proof in a clear outlined fashion.
3)
If a quadrilateral is a kite, then its diagonals are perpendicular.
Setup your coordinates below.
Given:
Prove:
Write your proof in a clear outlined fashion.
4)
If a quadrilateral is a rectangle, then its diagonals are congruent.
Setup your coordinates below.
Given:
Prove:
Write your proof in a clear outlined fashion.