Question

Look at the parallelogram ABCD shown below.

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

Answer 1

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

BD = BD

Reflexive Property
4

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
5

AB = DC , AD = BC

corresponding parts of congruent triangles are congruent

Answer 2

Which statement is true about the table?

It is not correct because it provides incorrect sequence of statement 3 and statement 4.

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

It is accurate because it shows why a parallelogram has four sides.

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

Answer 3

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