40 points thanks and brainlist Triangle PQR is transformed to triangle P'Q'R'. Triangle PQR has vertices P(4, 0), Q(0, −4), and R(−8, −4). Triangle P'Q'R' has vertices P'(1, 0), Q'(0, −1), and R'(−2, −1). Plot triangles PQR and P'Q'R' on your own coordinate grid. Part A: What is the scale factor of the dilation that transforms triangle PQR to triangle P'Q'R'? Explain your answer. (4 points) Part B: Write the coordinates of triangle P"Q"R" obtained after P'Q'R' is reflected about the y-axis. (4 points) Part C: Are the two triangles PQR and P''Q''R'' congruent? Explain your answer. (2 points)

Scale factor: ¼

P" (-1,0)

Q" (0,-1)

R" (2,-1)

Step-by-step explanation:

P'(1, 0) : ¼(4,0)

Q'(0, −1): ¼(0,-4)

R'(−2, −1): ¼(-8,-2)

So the scale factor is 2

After reflection in the y-axis:

(x,y) ---> (-x,y)

P'(1, 0) > P"(-1,0)

Q'(0, −1) > Q"(0,-1)

R'(−2, −1) > P"(2 -1)

SIMPLIFIED TERMS :

(PART A: The scale factor of dilation is 1/4 as you are dividing the vertices by 4 the get the new image.

PART B: P"(-1,0) Q"(0,-1) R"(2,-1)when reflecting over the y-axis change the x-coordinate by making it either positive/negative (opposite).

PART C: The two triangles are not congruent as they are the same shape, but not the same size (definition of being congruent).)

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

me! what did you put for this question?

step-by-step explanation: