ΔDEF ≅ΔDFG by the postulate_

a. ASA
b. SSS
c. SAS
d. SSA

b. SSS

Step-by-step explanation:

The diagram provided shows that:

DE is congruent to DG,

EF is congruent to FG, and

DF is congruent to DF

Thus, all three sides of ∆DEF is congruent to all corresponding sides of ∆DFG. Therefore, by the Side-Side-Side Congruence Theorem, ΔDEF ≅ΔDFG.

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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: