Question

If ABC congruent to TUV and TUV congruent to DEF which of the following statements must be true?

A. /B congruent to /D
B. TU congruent to EF
C. /A congruent to /F
D. AB congruent to DE

Answer 1

It is D. AB congruent to DE but next time put a picture

Answer 2

Answer: D. AB congruent to DE

Explanation:

Given: ΔABC congruent to ΔTUV and ΔTUV congruent to ΔDEF ,

Since we know that the corresponding parts of congruent triangles are congruent.

Then, If ΔABC≅ ΔTUV

⇒AB≅TU......................................(1)

BC≅UV

AC≅TV

If ΔTUV ≅ ΔDEF

⇒ TU≅DE....................................................(2)

Applying transitive property of congruence in (1) and (2), we get

AB≅DE

UV≅EF

TV≅DF