Question

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

Statements
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 alternate angles are congruent

3. triangles ADB and CBD are congruent
if two angles and the included side of a triangle are congruent to the corresponding angles and side of another triangle , then the triangles are congruent

4. BD = BD
Reflexive Property

Answer 1

Which statement is true about the table?
A. It is not correct because it provides incorrect sequence of statement 3 and statement 4.

B. It is accurate because it provides the correct reasons for the statements.

C. It is accurate because it provides the correct sequence of statements.

D. It is not correct because it does not provide correct reasons for statement 2 and statement 4.

Answer 2

I think A looks like it might be the correct answer (meaning the proof is incorrect for the reason stated in A).

The final step of the proof should end with the thing you are trying to prove... that opposite sides are congruent. As given, this proof ends with noting that the diagonal line down the middle equals itself due to reflexive. That's not the right end statement...

Answer 3

Thanks a bunch!!!

Answer 4

glad to help :)