日 Given: ON ML, LP PN, ZOPN Prove: OPN 2 MPL is a right angle. 7. N. M. Given: , ON ML, LP PN, and ZOPN ZL 2ZN by Vertical Angles Theorem M2OPN m/LPM ZLPM is a right angle; definition of right angles OPN and NPL OPN MPL is a right angle. 06 by substitution definition of right angles 06 and are right triangles Review progress Question 2 ,demmon onght angles m/LPM = 90 by substitution ZLPM is a right angle; definition of right angles OPN and NPL OPN MPL by SSS. %3D and are right triangles Given: ON ML, LP PN and ZOPN ZOPN LPLM M2OPN m/PLM MZOPN m/PLM= 90 by substitution ZPLM is a right angle; definition of right angles OPN MPL by SAS. is a right angle. by Vertical Angles Theorem ; definition of congruent angles 06 ; definition of right angles %3D Given: ON ML, LP PN, and ZOPN ZOPN ZLPM m/OPN m/LPM is a right angle. by Vertical Angles Theorem ; definition of congruent angles 06 = Nd07W by substitution ;definition of right angles ZLPM is a right angle; definition of right angles OPN and NPL and are right triangles OPN MPL by Hypotenuse-Leg Review progress Question 2
日 Given: ON ML, LP PN, ZOPN Prove: OPN 2 MPL is a right angle. 7. N. M. Given: , ON ML, LP PN, and ZOPN ZL 2ZN by Vertical Angles Theorem M2OPN m/LPM ZLPM is a right angle; definition of right angles OPN and NPL OPN MPL is a right angle. 06 by substitution definition of right angles 06 and are right triangles Review progress Question 2 ,demmon onght angles m/LPM = 90 by substitution ZLPM is a right angle; definition of right angles OPN and NPL OPN MPL by SSS. %3D and are right triangles Given: ON ML, LP PN and ZOPN ZOPN LPLM M2OPN m/PLM MZOPN m/PLM= 90 by substitution ZPLM is a right angle; definition of right angles OPN MPL by SAS. is a right angle. by Vertical Angles Theorem ; definition of congruent angles 06 ; definition of right angles %3D Given: ON ML, LP PN, and ZOPN ZOPN ZLPM m/OPN m/LPM is a right angle. by Vertical Angles Theorem ; definition of congruent angles 06 = Nd07W by substitution ;definition of right angles ZLPM is a right angle; definition of right angles OPN and NPL and are right triangles OPN MPL by Hypotenuse-Leg Review progress Question 2
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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given: on congruent ml, pl congruent pn
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