The figure below shows a parallelogram PQRS.
The flowchart shown below shows the sequence of steps to prove the theorem, Opposite angles of a parallelogram are equal.
Which option best represents x and y? (5 points)
x = angle 1 is equal to angle 6 and y =corresponding angles
x = angle 5 is equal to angle 3 and y = interior opposite angles
x = angle 5 is equal to angle 6 and y = supplementary angles
x = angle 4 is equal to angle 3 and y = alternate interior angles
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Look at the quadrilateral shown below.
Elba writes the following proof for the theorem, If the diagonals of a quadrilateral bisect each other, the quadrilateral is a parallelogram.
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? (5 points)