ArkaJ447406 ArkaJ447406
  • 03-11-2022
  • Mathematics
contestada

If △STU is similar to △XYZ, the sides of △STU must be congruent to thecorresponding sides of △XYZ.A. TrueB. False

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HrehaanB120991 HrehaanB120991
  • 03-11-2022

Similar triangles are triangles that have the same interior angles and the corresponding sides are proportional, that is, for triangles STU and XYZ we have the proportion:

[tex]\frac{ST}{XY}=\frac{TU}{YZ}=\frac{SU}{XZ}[/tex]

The corresponding sides are congruent only if the proportion rate is 1, but that is not always true and it's not necessary.

Therefore the correct option is B: False

If the corresponding sides are congruent, the triangles are congruent.

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