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Using the definition of congruent triangles, do you have enough information to show two triangles are congruent?

Using the definition of congruent triangles, do you have enough information to show-example-1

1 Answer

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The correct answer is the first option.

We can show that the 2 triangles are congruent by using vertical angles, to prove that m∠DCA = m∠TCS

Then by Alternating Interior Triangles, m∠A = m∠T and m∠D = m∠S

And finally, the sides AC and CS are equal, and DC = CT

Then we have 3 pairs of congruent corresponding sides and 3 pairs of congruent corresponding angles, which is the first option.

User Ahsanwarsi
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