raelyndockery1ovl147 raelyndockery1ovl147
  • 12-12-2017
  • Mathematics
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Which congruence theorem would complete the proof shown?

SSS
SAS
ASA

Which congruence theorem would complete the proof shown SSS SAS ASA class=

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Kaikerscupcake
Kaikerscupcake Kaikerscupcake
  • 12-12-2017
The Angle Side Angle Theorem would complete the proof. It goes from having a congruent angle to the same side (so congruent side) then congruent angle again.

I hope this helps!


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JannetPalos
JannetPalos JannetPalos
  • 20-11-2018

In the figure, AB || DC and AC is a transversal.

So, ∠2 = ∠3

∠1 = ∠4 (alternate interior angles)

Now, in triangles ACB and ACD,

∠2 = ∠3

∠1 = ∠4

AC = AC (common)

Therefore, Δ ACB ≅ Δ ACD (ASA Rule)



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