Thegreenfalcon Thegreenfalcon
  • 10-11-2017
  • Mathematics
contestada

Justify the last two steps of the proof. Given: MN=PO and MO=PN Prove: MNO=PON

Respuesta :

jajumonac jajumonac
  • 08-01-2020

Answer:

The figure of this problem is attached.

Givens:

  • MN=PO and MO=PN.
  • NO=NO by hypothesis, because both triangles have NO in common.

Now, according to the hypothesis, all three corresponding sides are congruent, that is:

[tex]MN \cong PO\\MO \cong PN\\NO \cong NO[/tex]

Therefore, the SSS postulate, Side-Side-Side postulate, both triangles are congruent. From this congruence each corresponding pair of angles are equivalent.

Ver imagen jajumonac
Answer Link

Otras preguntas

Zeus Industries bought a computer for $2593. It is expected to depreciate at a rate of 30% per year. What will the value of the computer be in 3 years?
Always stay in the ___________ lane except when passing another vehicle
How to find an equation with a slope and a point using y=mx+b?
Which principle of the American Free Enterprise System is described in the statement "Consumers have the right to buy and sell property"? a)competition b)profit
How and why do ionic bonds form?
Why will my headphones work with my ipod, but not on my computer?
Consider this reaction: Zn(s) + 2HCl(aq) ZnCl2(aq) + H2(g). Which change could decrease the rate of production of ZnCl2?
What challenge did American farmers face in the late 1920s?
What is the coordinate for the image of point H(2, –6) under a 90° clockwise rotation about the origin? H’(–6, –2) H’(6, –2) H’(–6, 2) H’(6, 2)
What directs cell activity and iis the control center?