sabina7136
sabina7136 sabina7136
  • 29-12-2018
  • Mathematics
contestada

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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