Indicate the method you would use to prove the two 's . If no method applies, enter none.
HL
LA
LL
HA
None
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Answer:
Option A is correct.
Use HL to prove two triangles are congruent.
Step-by-step explanation:
Labelled the given diagram:
In triangle ABC and triangle DEF as shown in figure below.
[tex]AB \cong DE[/tex] [leg] [Given]
[tex]AC \cong DF[/tex] [Hypotenuse side] [Given]
[tex]\angle B = \angle D= 90^{\circ}[/tex]
HL(Hypotenuse -Leg) postulates states that if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the triangles are congruent.
Then, by HL postulates;
ΔABC [tex]\cong[/tex] ΔDEF.
Therefore, the method you use to prove the two triangle congruent is, HL.