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WILL GIVE BRAINLIEST TO WHOEVER ANSWERS FASTEST IF CORRECT


If △STU ~ △XYZ, which statements must be true? Check all that apply.

StartFraction S T Over X Y EndFraction = StartFraction T U Over Y Z EndFraction
StartFraction X Y Over S T EndFraction = StartFraction SU Over X Z EndFraction
∠S ≅ ∠X
∠T ≅ ∠Y
ST = XY
SU = XZ

Respuesta :

Goldmaster615

Answer:

acd

Step-by-step explanation:

Answer:

ST/XY = TU/YZ

∠S ≅ ∠X

∠T ≅ ∠Y

Step-by-step explanation:

Given:

  • △STU ~ △XYZ. This means that they are similar triangles. Angles are congruent, but sides are just proportional.

So, from the similarity we deduct that three pair of angles are congruent: ∠S ≅ ∠X, ∠T ≅ ∠Y and ∠U ≅ ∠Z.

Similarly, sides are proportional, this means that corresponding sides are in the same relation:

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

We ignore the reasons why this triangles are similar, but once they are similar we can deduct all.

Therefore, the correct answers are:

ST/XY = TU/YZ

∠S ≅ ∠X

∠T ≅ ∠Y

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