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06.12.2019 •
Mathematics
Which correspondences are equivalent to δlmn ≅ δrst?
a) δmnl ≅ δstr and δlnm ≅ δrts
b) δmln ≅ δsrt and δnlm ≅ δstr
c) δmln ≅ δtrs and δmln ≅ δtrs
d) δnlm ≅ δrst and δlnm ≅ δtsr
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Ответ:
A)ΔMNL ≅ ΔSTR and ΔLNM ≅ ΔRTS
Step-by-step explanation:
From the given picture we are given that ΔLMN ≅ ΔRST
Since we know that the corresponding parts of congruent triangles are congruent.
Therefore, ∠L ≅∠R
∠M≅∠S
∠N≅∠T
Now, by arranging the above correspondences of angles at the equivalent places, the correspondences are equivalent to ΔLMN ≅ ΔRST will be
ΔMNL ≅ ΔSTR and Δ LNM ≅ ΔRTS
Ответ: