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jekas [21]
4 years ago
10

Please help

Mathematics
2 answers:
adell [148]4 years ago
4 0
The correct answer is B!!!
Murrr4er [49]4 years ago
3 0
<h3>You have the correct answer. It is choice B. Nice work.</h3>

K is the midpoint, so \overline{IK} \cong \overline{GK} and \overline{JK} \cong \overline{HK}, and along with the congruent vertical angles (\angle GKH \cong \angle IKJ and \angle GKJ \cong \angle IKH), you would use the SAS (side angle side) congruence theorem to prove the inner pairs of triangles to be congruent.

So, \triangle HKG \cong \triangle JKI (top and bottom triangles) and \triangle GKJ \cong \triangle IKH (left and right triangles).

Then through CPCTC, we can show the corresponding pieces are congruent leading to \overline{GH} \cong \overline{JI} and \overline{GJ} \cong \overline{HI} showing the opposite sides of the quadrilateral are congruent. Therefore we do have a parallelogram and enough information to prove it as such.

Side note: CPCTC stands for "corresponding parts of congruent triangles are congruent".

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