Given: in triangle abc, ∠b ≅ ∠c prove: ab ≅ ac complete the paragraph proof. we are given that ∠b ≅ ∠c. assume segment ab is not congruent to . if ab > ac, then m∠c > m∠b by the . if ab < ac, then m∠c < m∠b by the converse of the triangle parts relationship theorem. but by the definition of congruent, we know the measure of angle b equals the measure of by the given statement. therefore, we have a contradiction: ab = ac, and ab ≅ ac.

AB ≅ AC

Step-by-step explanation:

Given information: In triangle ABC, ∠B ≅ ∠C.

To prove: AB ≅ AC

Let us assume side AB is not congruent to side AC.

If AB > AC, then ∠B < ∠C ( By the converse of the triangle parts relationship theorem ).

If AB < AC, then ∠B > ∠C ( By the converse of the triangle parts relationship theorem ).

It is given that ∠B ≅ ∠C, so by the definition of congruent segment.

Therefore, we have a contradiction:

AB = AC

By the definition of congruent segment.

AB ≅ AC

Hence proved.

not only in mathematics, scientific proof also are required in the other field of science. also maths proofs are of particular structure, containing steps and logics. so proving is like doing science, it is science. that's why it is important to prove. 

an inaccurate proof leads to errors, or stating results that are not accurate.  which wil mess the probelm up you dont want this

let f (x ) is a function and c be a positive real number,   the graph of the function g (x ) = f (cx ) is represented as follows.

when, c > 1,   the function compresses it in the x - direction.

when, 0 < c < 1, the function stretches it.

the function is g ( x ) = (9x )2.

the heighest power of x in g ( x ) = (9x )2 is 2, so the parent function is square function.

the equation of parent function is f ( x ) = x 2 .

the function is g ( x ) = (9x )2 and the parent function is f ( x ) = x 2 .

so, the functions f and g have the following relationship.

g ( x ) = f ( 9x ).

compare the function g ( x ) = f ( 9x ) with g (x ) = f (cx ).

c = 9 ( > 1 ).

so, the function g (x ) = (9x )2 compresses it in the x - direction.

step-by-step explanation: