Question

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



Given:

∠C, ∠F are rt. ∠'s; AC = DF; ∠B = ∠E

HA
LL
LA
HL

Answer 1

Yo! The postulate for this is ASA, Angle - Side - Angle.

∠C and ∠F are right angles. So, the triangles are right triangles.

AC = DF are the short legs of both triangles.

∠B = ∠E.

For this, the postulate is ASA (Angle-Side-Angle)

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

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

Answer 2

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