Question

question in comments

Answer 1

Look at the parallelogram ABCD shown below:

A parallelogram ABCD is drawn with BD as the diagonal.

The table below shows the steps to prove that if the quadrilateral ABCD is a parallelogram, then its opposite sides are congruent:


Statement Reasons
1 AB is parallel to DC and AD is parallel to BC Definition of parallelogram
2 angle 1 = angle 2, angle 3 = angle 4 If two parallel lines are cut by a transversal then the corresponding angles are congruent
3 BD = BD Reflexive Property
4 triangles ADB and CBD are congruent If two sides and the included angle of a triangle are congruent to the corresponding sides and angle of another triangle , then the triangles are congruent by SAS postulate
5 AB = DC,
AD = BC Corresponding parts of congruent triangles are congruent

Which statement is true about the table?
It is not correct because it provides incorrect sequence of statement 2 and statement 4.
It is not correct because it does not provide correct reasons for statement 2 and statement 4.
It is accurate because it provides the correct sequence of statements.
It is accurate because it provides the correct reasons for the statements.