sabina7136
sabina7136 sabina7136
  • 29-12-2018
  • Mathematics
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If JK and LM are congruent and parallel, then JKL and MLK are congruent.

If JK and LM are congruent and parallel then JKL and MLK are congruent class=

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lublana
lublana lublana
  • 29-12-2018

Answer:

Given statement is TRUE.

Step-by-step explanation:

Given that line segment JK and LM are parallel. From picture we see that LK is transversal line.

We know that corresponding angles formed by transversal line are congruent.

Hence ∠JKL = ∠ MLK ...(i)

Now consider triangles JKL and MLK

JK = LM  {Given}

∠JKL = ∠ MLK { Using (i) }

KL = KL  {common sides}

Hence by SAS property of congruency of triangles, ΔJKL and ΔMLK are congruent.

Hence given statement is TRUE.

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