Main Answer: Option A is correct.
Use HL to prove two triangles are congruent.
Concept and definitions should be there:
Hypotenuse: The side opposite the right angle in a right-angled triangle.
It is also the longest side of the right-angled triangle.
Given that
Indicate the method you would use to prove the two A's. If no method applies, enter none.
Solving part
Labelled the given diagram:
In triangle ABC and triangle DEF as shown in figure below.
AB≅DE[leg] [Given]
AC≅DF [Hypotenuse side] [Given]
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≅ ΔDEF.
Therefore, the method you use to prove the two triangle congruent is, HL.
Final Answer:Option A is correct.
Use HL to prove two triangles are congruent.
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