MATH SOLVE

3 months ago

Q:
# Choose the abbreviation of the postulate or theorem that supports the conclusion that the triangles are congruent.Given:∠C, ∠F are rt. ∠'s; ∠B = ∠E; BC = EFHLLLHALAPlease hurry and answers 30 pts

Accepted Solution

A:

Answer:Option D.LA Theorem or PostulatesExplanation:LA theorem or postulates is leg-acute states that if the leg and an acute angle of one right triangle are congruent to the corresponding leg and acute angle of another right triangle, then the triangles are congruent.In [tex]\triangle ACB[/tex] and [tex]\triangle DFC[/tex][tex]\angle C =\angle F = 90^{\circ}[/tex] [Given][tex]\angle B = \angle E[/tex] [Acute angle] [Given][tex]BC=EF[/tex] [Given]By LA theorems or postulates,[tex]\triangle ACB \cong \triangle DFE[/tex]Therefore, LA theorems or postulates support the conclusion that the triangles are congruent.