Question

Geometry Help

Answer 1

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

Elba'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.
3. Therefore, the triangles AOB and COD are congruent by SAS postulate.
4. Similarly, triangles AOD and COB are congruent.
5. By CPCTC, angle ABD is equal to angle CDB and angle ADB is equal to angle CBD.
6. As the corresponding angles are congruent, the opposite sides of quadrilateral ABCD are parallel.
7. Therefore, ABCD is a parallelogram.

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

Answer 2

@Hero can you help me please

Answer 3

@Zarkon can you please help

Answer 4

can @anyone help

Answer 5

@DemolisionWolf can you help me please

Answer 6

@Mertsj can you help me please

Answer 7

Your first job is to draw a picture.

Answer 8

ok

Answer 9

Are angles 1 and 2 vertical angles?

Answer 10

yes

Answer 11

The the first statement is fine.
Is it given that the diagonals bisect each other?

Answer 12

the answers are:
Statement 6

Statement 4

Statement 3

Statement 5

Answer 13

Statement 6