Question

Look at the quadrilateral shown below.

A quadrilateral ABCD is shown with diagonals AC and BD intersecting in point O. Angle AOB is labeled as 1, angle BOC is labeled as 4, angle COD is labeled as 2, and angle AOD is labeled as 3.

Melissa writes the following proof for the theorem, If the diagonals of a quadrilateral bisect each other, the quadrilateral is a parallelogram.

Melissa's proof

1. For triangles AOB and COD, angle 1 is equal to angle 2 as they are vertical angles.
2. AO = OC and BO = OD because it is given that diagonals bisect each other.

Answer 1

3. The triangles AOB and COD are congruent by SSS postulate.
4. Similarly, triangles AOD and COB are congruent.
5. By CPCTC, AB is equal to DC.
6. By CPCTC, AD is equal to BC.
7. As the opposite sides are congruent the quadrilateral ABCD is a parallelogram.

Answer 2

Which is the first incorrect statement in Melissa's proof?

Statement 5

Statement 3

Statement 4

Statement 6
Can someone please help me out with this question?

Answer 3

@Hero

Answer 4

@jim_thompson5910

Answer 5

@myininaya

Answer 6

@geerky42

Answer 7

Can anyone please help me! i really need help

Answer 8

@urkhada

Answer 9

I got statement 3 as the asnswer