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

D. AB congruent to DE

Step-by-step 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

3. (5x + 1) - (-10x + 6)

simplify the answer choice. combine like terms. remember to distribute the negative to the terms inside the second parenthesis. also remember that two negatives = one positive, and one of each sign = negative.

- (-10x + 6) = + 10x - 6

simplify. combine like terms:

5x + 1 + 10x - 6

5x + 10x + 1 - 6

15x - 5

∴ it is your answer

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