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JeanaShupp

Answer: Its the third pair which can be proven by the HL theorem


Step-by-step explanation:

HL theorem states that if hypotenuse and one leg of two right triangles are congruent then the triangles are said to be congruent.

In first picture there is two right triangle with equal hypotenuse but not any leg. So HL theorem cannot be applied.

In second picture there is no right triangle. So HL theorem cannot be applied

In third triangle there is two right triangle with equal hypotenuse and legs therefore by HL theorem they are congruent.

In fourth picture they are not right angle. So HL theorem cannot be applied

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adioabiola

The pair of triangles which can be proven congruent by the HL theorem is; The third pair of triangles.

What is the HL theorem of congruence?

The HL (hypothenuse-leg) theorem states that if hypotenuse and one other leg of two right triangles are congruent then the triangles are said to be congruent.

For the first picture;

  • The triangles are right triangle with equal hypotenuse but not any other legs are equal. Hence, HL theorem cannot be applied.

For the second picture;

  • The triangles are not right triangles. Hence, HL theorem cannot be applied

For the third triangle;

  • The triangles are right triangle with equal hypotenuse and legs therefore by HL theorem they are congruent.

For the fourth picture;

  • The triangles are not right angle. So HL theorem cannot be applied

Read more on HL theorem of congruence;

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