Quadrilateral ABCD is transformed according to the rule (x, y)→ (x + 3, y + 3) to create quadrilateral A′B′C′D′. Which statement is true?
A. the angle measures of quadrilateral A′B′C′D′ are greater than the angle measures of quadrilateral ABCD.

B. The side lengths of quadrilateral A′B′C′D′ are 3 more than the side lengths of quadrilateral ABCD.

C. The angle measures of quadrilateral A′B′C′D′are less than the angle measures of quadrilateral ABCD.

D. The side lengths of quadrilateral A′B′C′D′ are the same as the side lengths of quadrilateral ABCD.

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Step-by-step explanation:

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.