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aria2289
27.06.2019 •
Mathematics
If jk and lm are congruent and parallel, then jkl and mlk are congruent. true false
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Ответ:
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 congurent.
Hence given statement is TRUE.
Ответ: