Coordinate proof example

1
Co-ordinate proof example

• Diagonals of a parallelogram are mutual bisectors

2

• Given Parallelogram QUAD
• Prove and are mutual bisectors
• (So, required to prove X is midpoint of each)

3

• 1. QUAD is a parallelogram 1. Given
• 2. U (0, 0) A (j, 0) Q (k, m) 2. A point has a
  specific location
• 3. y co-ordinate of D is m 3. Opposite sides
  of a pgram are //
• 4. x co-ordinate of D is j k 4. Opposite
  sides of a pgram are ?.

4
5. The midpoint of
is
5. Midpoint Formula
6. The midpoint of
is
6. Midpoint Formula
7. The midpoint of
7. Substitution
the midpoint of