gillianriviera0
gillianriviera0 gillianriviera0
  • 24-12-2020
  • Mathematics
contestada

given: ks is congruent to sn ms is congruent to sp prove: ksp is congruent nsm

given ks is congruent to sn ms is congruent to sp prove ksp is congruent nsm class=

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randomDUCK
randomDUCK randomDUCK
  • 25-12-2020

Proof:

In [tex]\triangle KSP[/tex] and [tex]\triangle NSM[/tex]:

[tex]\overline K \overline S \cong \overline N \overline S[/tex] (given)

[tex]\angle KSP = \angle NSM[/tex] (vertically opposite angles are equal)

[tex]\overline S \overline P = \overline S \overline M[/tex] (given)

[tex]\therefore \triangle KSP \cong \triangle NSM (SAS)[/tex]

Hope this helps :)

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