Question

Help please!

Answer 1

Answer:

Reflexive Property

Explanation:

In step #3, we are given that BD is equal to itself.  

The property that tells us that something is equal to itself is the reflexive property; that is our answer.

Answer 2

Answer:

(B) Reflexive property

Step-by-step explanation:

To prove:  If the quadrilateral ABCD is a parallelogram, then its opposite sides are congruent.

Proof:

Statement                                                             Reason

1. AB is parallel to DC                       Definition of parallelogram

and AD is parallel to BC  

2.∠1=∠2                            

and ∠3=∠4              If two parallel lines are cut by a transversal then the alternate interior angles are congruent

3. BD=BD                     Reflexive  property

4. ΔADB≅ΔCBD     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

Hence proved

Thus, option B is correct.