12) what is the image of c for a 180° counterclockwise rotation about p? look at the first picture.

a) (3, −3)
b) (3, 0)
c) (3, 3)
d) (3, 5)

13) what is the angle of rotation counterclockwise about the spinner’s center that maps label g to label b? look at the second picture

a) 180°
b) 216°
c)144°
d)108°

14) find the image of triangle ghj under the translation of (x, y) (x-1 ,y-8) look at the third picture.

a) triangle abc
b)triangle npq
c)triangle klm
d)triangle def

15) what is the reflection image of p(0, 0) after two reflections, first across x = −3 and then across y = 4? look at the forth picture.
a) (−6, 8)
b)(4, −3)
c)(4, −6)
d)(−8, −6)

16) the figure is reflected across line m and then reflected across line n. what is the resulting transformation? look at the fifth picture

a)reflection
b)rotation
c)translation
d)glide reflection

c

step-by-step explanation:

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be