Which statements prove that a quadrilateral is a parallelogram?

Select each correct answer.

Quadrilateral DEFG has two sets of consecutive angles that are complementary.

Quadrilateral DEFG has diagonals that are congruent.

Quadrilateral DEFG has one set of opposite sides that are both congruent and parallel.

Quadrilateral DEFG has opposite angles that are congruent.

Question

Which statements prove that a quadrilateral is a parallelogram?

Select each correct answer.

Quadrilateral DEFG has two sets of consecutive angles that are complementary.

Quadrilateral DEFG has diagonals that are congruent.

Quadrilateral DEFG has one set of opposite sides that are both congruent and parallel.

Quadrilateral DEFG has opposite angles that are congruent.

Comerpickles · Answer

@Allison

psirockin2 · Answer

Do you know what the definition of a quadrilateral is? If not, I'll explain it to you

Comerpickles · Answer

A polygon with four edges and verticle corners

psirockin2 · Answer

Right! Now what are the characteristics of a parallelogram?

Comerpickles · Answer

I'm gonna go with C and B. FYI there is more than one answer

psirockin2 · Answer

The diagonals of a parallelogram are congruent since they make two congruent triangles, not too sure about C though

psirockin2 · Answer

Wait yes, C is right because there's a theorem saying so. Sorry about that

psirockin2 · Answer

B and C are right

Comerpickles · Answer

Its alright. Thanks :D