Mathematics, 27.10.2020 02:50, savannahvargas512

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:

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 _ are congruent, the opposite sides of quadrilateral ABCD are parallel.
7. Therefore, ABCD is a parallelogram.

Which is the missing phrase in Elba's proof?

alternate interior angles
corresponding angles
corresponding sides
opposite sides

Look at the quadrilateral shown below:

Elba writes the following proof for the theorem: If the di

Answers: 3

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Look at the quadrilateral shown below: Elba writes the following proof for the theorem: If the diag...