LMNP Is a quadrilateral Inscribed In a circle. If ml =m/N,Is MP a dlameter of a circle? Complete the explanation. (select) v.Since LMNP is a quadrilateral inscribed in a circle, the opposite angles of the quadrilateral are (select) supplementary angles, and must therefore be (select) v angles. Since L is a right angle, by the Inscribed Angle of a Diameter Theorem, MP (select) Since mzl = mZN and mzl +mZN = 180°, they are congruent and %3D v be a diameter of a circle.

LMNP Is a quadrilateral Inscribed In a circle. If ml =m/N,Is MP a dlameter of a circle? Complete the explanation. (select) v.Since LMNP is a quadrilateral inscribed in a circle, the opposite angles of the quadrilateral are (select) supplementary angles, and must therefore be (select) v angles. Since L is a right angle, by the Inscribed Angle of a Diameter Theorem, MP (select) Since mzl = mZN and mzl +mZN = 180°, they are congruent and %3D v be a diameter of a circle.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Question

LMNP Is a quadrilateral Inscribed in a circle. If mL =mZN, Is MP a dlameter of a circle? Complete the
explanation.
M
(select) v Since LMNP is a quadrilateral inscribed in a circle, the opposite angles of the quadrilateral are
|(select)
supplementary angles, and must therefore be (select) v angles. Since ZL is a right angle, by the
Inscribed Angle of a Diameter Theorem, MP (select)
v. Since mzl = mZN and ml +mZN = 180°, they are congruent and
v be a diameter of a circle.
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