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Mathematics, 31.12.2020 21:00 fluffy374747

Consider the figure below. Given:
Line PM is congruent to line PN, Line LM is perpendicular to line MN, Line MN is perpendicular to line ON
Line L bisects angle MNO, line ON bisects angle LMN.

Which of the following statements is enough to prove triangle MPL is congruent to triangle NPO?

A) If proving line LP is congruent to line OP by Isosceles Triangle Theorem, and line LM is congruent to line ON using substitution, then triangle MPL is congruent to triangle NPO because of SSS.

B) If proving angle MPL congruent to angle NPO because they are vertical angles, and angle LMP is congruent to angle ONP because of definition of angle bisectors, then triangle MPL is congruent to triangle NPO because of ASA.

C) If proving line LP is congruent to line OP by Isosceles Triangle Theorem, and angle MPL is congruent to angle NPO because they are vertical angles, then triangle MPL is congruent to triangle NPO because of SAS.

D) If line PM is congruent to line PN, line LM is perpendicular to line MN, line MN is perpendicular to line ON, line LN bisects angle MNO, line Om bisects angle LMN are given statements, then there is enough to prove triangle MPL is congruent to triangle NPO by AAS.

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Consider the figure below. Given:
Line PM is congruent to line PN, Line LM is perpendicular...

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