What is the missing reason in step 3?

answer choices :
1) triangle angle sum theorem
2) sas congruency theorem
3) sss congruency theorem
4) cpctc

Option 3 is correct

SSS congruency  theorem

Step-by-step explanation:

In ΔADC and ΔCBA

     [Side]                  [Given]

     [Side]                   [Given]

Reflexive property states that any value is equal to itself

     [Side]         [Reflexive Property]

SSS -Side-Side-Side postulates states that  that if three sides of one triangle are congruent to three sides of another triangle, then these two triangles are congruent.

Therefore,

ΔADC ΔCBA            [By SSS]

By CPCT (Corresponding Part of Congruent Triangle]

and

Alternate interior angle states that a pair of angles on the inner side of each of those two lines but on opposite sides of the transversal.

therefore, by definition of  alternate interior angle ;

and are alternate interior angle

also, and are  alternate interior angle

By converse of the alternate interior angle theorem states that  if two lines are cut by a transversal and the alternate interior angles are congruent, then the lines are parallel.

therefore, we have

;

Then,by the definition of parallelogram that a four sided flat shape with straight sides where opposite sides are parallel.

⇒ABCD is parallelogram               hence proved!

step-by-step explanation:

a rhombus is a parallelogram enjoying his symmetry.

answer:

it is general formula that is used to write value to its excet position

a11 a12 a13

a21 a22 a23

it is the example of order 2 by 3 matrix in this

a11 means value occur in 1 st row 1st column

a12 means value occurs in 1st row 2nd column

a13 means value occur in 1st row and 3rd column

a21 means value occurs in 2nd row and 1st column

a22 means value occurs in 2nd row and in 2nd column

a23 means value occurs in 2nd row and in 3rd column