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dalvyx [7]
3 years ago
11

Choose the abbreviation of the postulate or theorem that supports the conclusion that the triangles are congruent.

Mathematics
2 answers:
laiz [17]3 years ago
8 0
∠C and ∠F are right angles. So, the triangles are right triangles.

AC = DF are the short legs of both triangles.

∠B = ∠E.

In this scenario, the postulate is ASA (Angle-Side-Angle)

The remaining sides that must be noted to prove that the triangles are congruent are the long legs and hypotenuse.

CB = FE can be LL for congruence where t<span>t states that if the legs of one right triangle are congruent to the legs of another right triangle, then the triangles are congruent.</span>

Inessa [10]3 years ago
4 0

Answer:  LA

Step-by-step explanation:

Given:  In ΔABC  and  ΔDEF

∠C, ∠F are right angles

⇒ Both triangles are right triangles.

 AC = DF  ;  ∠B = ∠E

By LA theorem, we get

ΔABC  ≅  ΔDEF

  • The LA theorem tells that for any two right triangles, where one acute angle and a leg of one of the triangles are congruent to an angle and a leg of the other triangle, then the two triangles are congruent.

Hence, LA is the abbreviation of the theorem that supports the conclusion that the triangles are congruent.

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