Question

If STU~ABC, which congruences are true by CPCTC? Check all that apply.

A. angle T~angle B
B. line SU~lineBC
C. TU~BC
D. line ST~AC
E. angle s~angle A
F. angle u~angle B

Answer 1

answers

A. <T = <B
C. TU = BC
E. <S = <A

Answer 2

Answer: The correct statements are,

∠ T ≅ ∠ B

TU ≅ BC

∠ S ≅ ∠ A

Explanation:

Since, In triangles STU and ABC,

Sides ST, TU and US are corresponding to AB, BC and CA respectively.

And, ∠ S, ∠T and ∠U are corresponding to ∠ A, ∠B and ∠C respectively.

Here, Δ STU ≅ Δ ABC,

Thus, By CPCTC,

Corresponding part of STU and ABC must be congruent to one another.

That is, ST ≅ AB, TU ≅ BC and US ≅ CA

And, ∠S ≅ ∠A , ∠T ≅ ∠B and ∠U ≅ ∠C

Therefore, Options A), C) and E) are correct.