Question

Clara writes the following proof for the theorem, “If the diagonals of a quadrilateral bisect each other, the quadrilateral is a parallelogram.”
Clara’s proof
1. For triangles AOB and DOC, 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. The triangles AOB and DOC are congruent by SAS postulate.
4. Similarly, triangles AOD and BOC are congruent.
5. By transitive property, angle ABD is equal to angle BDC and angle ADB is equal to angle DBC.
6. As the alternate interior angles are congruent the opp

Answer 1

plz help

Answer 2

@Hero

Answer 3

@HELP001

Answer 4

@tunahan

Answer 5

What are you asking?

Answer 6

sides of quadrilateral ABCD are parallel.
7. Therefore, ABCD is a parallelogram.

Which is the first incorrect statement in Clara’s proof?

Statement 4

Statement 5

statement 6
or 7

srry i dindt get it all

Answer 7

@SmoothMath @satellite73 @Romero @Calcmathlete @estudier

Answer 8

Statement 5

Answer 9

thx

Answer 10

can anyone verify this