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Describe and correct the error in determining whether JKL is congruent to JML.​

Describe and correct the error in determining whether JKL is congruent to JML.​-example-1

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Answer:

  • the error is in the congruence statement
  • should be ∆JKL≅∆LMJ

Explanation:

You want to know the error in showing ∆JKL is congruent to ∆JML.

HL Congruence

The given information is that hypotenuse JL is congruent to itself, and sides JK and LM are congruent. The triangles are shown as right triangles.

An appropriate congruence statement would make sure that JK and LM were corresponding segments. The congruence statement used (∆JKL≅∆JML) has JK corresponding to JM, not LM.

The congruence statement is in error.

Whether ∆JKL is congruent to ∆JML cannot be determined from the given information.

User Dave Anderson
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