50 points and brainliest to first correct answer! :)
The figure below shows a quadrilateral ABCD. Sides AB and DC are congruent and parallel:

A quadrilateral ABCD is shown with the opposite sides AB and DC shown parallel and equal.

A student wrote the following sentences to prove that quadrilateral ABCD is a parallelogram:

Side AB is parallel to side DC, so the alternate interior angles, angle ABD and angle CDB, are congruent. Side AB is equal to side DC, and DB is the side common to triangles ABD and BCD. Therefore, the triangles ABD and CDB are congruent by SSS postulate. By CPCTC, angles DBC and BDA are congruent and sides AD and BC are congruent. Angle DBC and angle BDA form a pair of alternate interior angles. Therefore, AD is congruent and parallel to BC. Quadrilateral ABCD is a parallelogram because its opposite sides are equal and parallel.

Which statement best describes a flaw in the student's proof?

Question 11 options:

Angle DBC and angle BDA form a pair of vertical angles, not a pair of alternate interior angles, which are congruent.


Triangles ABD and CDB are congruent by the SAS postulate instead of the SSS postulate.


Triangles ABD and BCD are congruent by the AAS postulate instead of the SSS postulate.


Angle DBC and angle BDA form a pair of corresponding angles, not a pair of alternate interior angles, which are congruent.

50 points and brainliest to first correct answer The figure below shows a quadrilateral ABCD Sides AB and DC are congruent and parallel A quadrilateral ABCD is class=

Respuesta :

Answer/Step-by-step explanation:

"Side AB is parallel to side DC so the alternate interior angles, angle ABD and angle CDB, are congruent." True

"Side AB is equal to side DC and DB is the side common to triangles ABD and BCD."  True

Now we have 2 triangles, with 2 congruent sides, and the angles between these pairs of congruent sides, are also congruent..

This means that:

Therefore, the triangles ABD and CDB are congruent by SAS postulate, NOT SSS postulate, which would require 3 pairs of congruent sides.

Answer: Triangles ABD and CDB are congruent by the SAS postulate.

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