Bis the midpoint of segment ac. which statement best describes the relationship between triangles abd and cbd?
triangles abd and cbd are congruent by the sss congruence postulate.
triangles abd and cbd are similar by the sss similarity postulate.
triangles abd and cbd are congruent by the sas congruence postulate.
triangles abd and cbd are similar by the sas similarity postulate.

the answer would be d.

step-by-step explanation:

move all variables to the left side and all constants to the right side

(x−3)^2+(y−1)^2=16

this is the form of a circle. use this form to determine the center and radius of the circle.

( x − h ) 2 + ( y − k ) 2 = r 2

match the values in this circle to those of the standard form. the variable   r   represents the radius of the circle,   h   represents the x-offset from the origin, and   k   represents the y-offset from origin.

r = 4

h = 3

k = 1

the center of the circle is found at   ( h , k ) .

center:   ( 3 , 1 )

these values represent the important values for graphing and analyzing a circle.

center:   ( 3 , 1 ).

radius:   4