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Determine if the two triangles are necessarily congruent. If so, fill in a flowchart proof to prove that they are.

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Determine if the two triangles are necessarily congruent. If so, fill in a flowchart-example-1

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The given statements are:

  1. angle A = angle O (note the single tickmarks)
  2. side AC = side OM (these sides share a similar tickmark)
  3. angle C = angle M (note the double tickmarks)

We can then use the ASA congruence theorem to prove the triangles are congruent, aka they are mirror copies of one another.

Each "A" refers to facts (1) and (3) shown above. Fact (2) is the "S" of ASA.

ASA = angle side angle

User Juan Ferreras
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