What is the reason for step 3 of this proof? given: and bisect each other. prove: quadrilateral abcd is a parallelogram. proof: statement reason 1. and bisect each other. given 2. ae = ec be = ed definition of bisection 3. maeb = mced 4. abe cde sas criterion 5. acd cab corresponding angles of congruent triangles are congruent. 6. converse of alternate interior angles theorem 7. mbec = maed vertical angles theorem 8. bec dea sas criterion for congruence 9. dbc bda corresponding angles of congruent triangles are congruent. 10. converse of alternate interior angles theorem 11. quadrilateral abcd is a parallelogram. definition of a parallelogram a alternate interior angles theorem b. corresponding angles in congruent triangles are congruent. c. for parallel lines cut by a transversal, corresponding angles are congruent. d. vertical angles theorem e. sas criterion for congruence

We have to prove that Quadrilateral ABCD is a parallelogram.

The third step is m AEB = mCED

As  ABCD is a quadrilateral, the point of intersection  of diagonals being E.

In the first step while proving it is written that Diagonals bisect each other i.e

AE = EC and BE= ED

After drawing the quadrilateral it is being found that ∠AEB  and ∠CED are vertically opposite angles.

Out of the given five options option (D) is the correct option. which is vertical angles theorem.

vertical angle theorem states that if two lines intersect at a point ,then their vertically opposite angles are equal.

idk do it yourself or ask somebody idk stop going online asking for

to find the perimeter of the rectangle this is the expression:

x-9+x-9+3x-4+3x-4=138

if we simplify it:

8x-26=138

remember, 138 is what it all adds up to

the length is 11.5cm

the width is 57.5cm

the area is 661.25cm^2

the answers might not be correct use at own risk