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Which descriptions from the list below accurately describe the relationship between QRS and TUV? Check all that apply.


ASimilar
BSame shape
CCongruent
DSame size

Which descriptions from the list below accurately describe the relationship between QRS and TUV? Check all that apply. A. Similar B. Same shape C. Congruent D. class=

Verified Answer :

Ollie111

All of them (A,B,C, and D)
Because they're the same in every way

frika

Definition: Triangles are congruent when they have  exactly the same three sides and exactly the same three angles.

From the diagram you have that:

  • \(m\angle Q=m\angle T=50^{\circ}\)
  • \(m\angle R=m\angle U=83^{\circ}\)
  • \(m\angle S=m\angle V=47^{\circ}\)
  • \(QR=TU=22\)
  • \(RS=UV=23\)
  • \(QS=TV=30\)

Triangles QRS and TUV have congruent corresponding sides and congruent corresponding angles. This means they are congruent triangles. Congruent triangles always have the same shape and the same size. Also each pair of congruent triangles is a pair of similar triangles with ratio of similarity equal to 1.

Answer: all choices are correct.

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