Pentagon g was dilated from the origin by a scale factor of one half to create pentagon g′. which statement explains why the pentagons are similar? dilations preserve side length; therefore, the corresponding sides of pentagons g and g′ are congruent. dilations preserve betweenness of points; therefore, the corresponding sides of pentagons g and g′ are proportional. dilations preserve orientation; therefore, the corresponding angles of pentagons g and g′ are congruent. dilations preserve collinearity; therefore, the corresponding angles of pentagons g and g′ are congruent

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.

two data sets with the same median will not have the same varaibility

step-by-step explanation:

the answer is b