Figure b is a rotation of figure a about point c.

which of the following is true?

a. the two figures are congruent.
b. figure a is a translation.
c. the two figures are similar but not congruent.
d. figure b is a dilation.

A. The two figures are congruent.

Shapes are congruent if you can turn one into the other by moving, rotating or flipping. These two shapes are rectangles. A rectangle is a quadrilateral whose angles are all right angles. So if you take rectangle A, and rotates it 90 degrees, then moving it to match rectangle B, you can realize that these two rectangles are the same shape.

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.