sarenathemagical
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  • 14-02-2021
  • Mathematics
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In figure AB and CD bisect each other at O. State the 3 pairs of equal parts in ∆AOC and ∆BOD. Is ∆AOC ≅ ∆BOD? Give reasons

In figure AB and CD bisect each other at O State the 3 pairs of equal parts in AOC and BOD Is AOC BOD Give reasons class=

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Hrishii
Hrishii Hrishii
  • 14-02-2021

Answer:

SEE EXPLANATION

Step-by-step explanation:

[tex] In\:\triangle AOC \:\&\:\triangle BOD[/tex]

[tex] AO \cong OB.... (given) [/tex]

[tex] \angle AOC \cong\angle BOD [/tex]

[tex] (vertical \: \angle s) [/tex]

[tex] CO \cong OD.... (given) [/tex]

[tex] \therefore \triangle AOC \:\cong\:\triangle BOD[/tex]

[tex] (SAS \: postulate) [/tex]

So, the 3 pairs of equal parts in ∆AOC and ∆BOD are:

[tex] AC = BD[/tex]

[tex] m\angle OAC = m\angle OBD[/tex]

[tex] m\angle OCA = m\angle ODB[/tex]

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