In the given figure △ABC ≅△DEC. Which of the following relations can be proven using CPCTC ?

Option B:

Solution:

In the given figure .

If two triangles are similar, then their corresponding sides and angles are equal.

By CPCTC, in ,

– – – – (1)

– – – – (2)

– – – – (3)

 – – – – (4)

 – – – – (5)

 – – – – (6)

Option A:

By CPCTC proved in equation (2) .

Therefore . Option A is false.

Option B:

By CPCTC proved in equation (1) .

Therefore Option B is true.

Option C:

By CPCTC proved in equation (4) .

Therefore . Option C is false.

Option D:

By CPCTC proved in equation (5) .

Therefore . Option D is false.

Hence Option B is the correct answer.

arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

step-by-step explanation: