Triangle PQR is transformed to triangle P'Q'R'. Triangle PQR has verticals P(4,0) Q(0,-4) R(-8,-4). Triangle P'Q'R' has verticals 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 P'Q'R'? Explain Part B: Write the coordinates of triangle P"Q"R" obtained after P'Q'R is reflected about the y-axis Part C: Are the two triangles PQR and P"Q"R" congruent? Explain

a) It is dilated by a factor of 1/4

b) P"(-1, 0), Q"(0, -1), R"(2, -1)

c) They are not congruent

Step-by-step explanation:

Triangle PQR has verticals P(4,0) Q(0,-4) R(-8,-4). Triangle P'Q'R' has verticals P'(1,0) Q'(0,-1) and R'(-2,-1)

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, rotation, dilation and translation.

Dilation is the reduction or enlargement of an object. If a point X(x, y) is dilated by a factor of k ,the new location is X'(kx, ky).

If a point X(x, y) is reflected about the y-axis, the new location is X'(-x, y)

a) Triangle PQR has verticals P(4,0) Q(0,-4) R(-8,-4) is dilated by a factor of 1/4, the new location would be P'(1,0) Q'(0,-1) and R'(-2,-1).

b) If triangle P'Q'R' is reflected about the y axis, the new location is P"(-1, 0), Q"(0, -1), R"(2, -1)

C) Two triangles are congruent if they have the same sides and angle. Triangle PQR and triangle P"Q"R" are not congruent because triangle PQR is smaller than triangle P"Q"R"

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3

well what you have to do is divide 84 by 6 so theanswer

step-by-step explanation:

84 divided by 6 = 14

and that lightbulb changing party must be freaking lit!