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Mathematics 27 Online
OpenStudy (cntrl_alt_defeated):

lease Help- In ΔMNO shown below, segment NP is an altitude: What property or definition is needed to prove that ΔMPN is similar to ΔNPO? Question 7 options: 1) Transitive Property of Equality 2) Reflexive Property of Equality 3) Definition of an Altitude 4) Definition of Supplementary Angles

OpenStudy (cntrl_alt_defeated):

anyone?

OpenStudy (paxpolaris):

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OpenStudy (cntrl_alt_defeated):

do u want a pic of the triangle

OpenStudy (paxpolaris):

sure ..

OpenStudy (cntrl_alt_defeated):

OpenStudy (cntrl_alt_defeated):

thts the whole question?

OpenStudy (paxpolaris):

We know that N is right angle.

OpenStudy (cntrl_alt_defeated):

yes

OpenStudy (paxpolaris):

so we need the definition of altitude: to show that P makes right angles.

OpenStudy (cntrl_alt_defeated):

how do i find that? (sorry im new to geometry)

OpenStudy (paxpolaris):

What is definition of Altitude?

OpenStudy (cntrl_alt_defeated):

the height of an object or point in relation to sea level or ground level.

OpenStudy (paxpolaris):

in geometry: The definition of the altitude of a triangle is a line that extends from one vertex of a triangle perpendicular to the opposite side.

OpenStudy (cntrl_alt_defeated):

oh ok

OpenStudy (paxpolaris):

So definition of an Altitude: gives us NPM and NPO are 90 degrees . that's enough to prove similarity.

OpenStudy (paxpolaris):

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OpenStudy (paxpolaris):

If you assume \(m \angle M= x \) degrees: \[m \angle O= 90-x \] also, \(m \angle MNP= 90-x \) and, \(m \angle ONP= x \)

OpenStudy (paxpolaris):

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OpenStudy (cntrl_alt_defeated):

so how does this answer my question

OpenStudy (paxpolaris):

the answer is 3) Definition of an Altitude. ... since we needed to know that to prove the similarity above.

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