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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)

1.Scale factor is 1/4

2. The coordinates are .P''(-1,0) ,Q''(0,-1),R''(2,-1)

Step-by-step explanation:

The formula for dilation is

A(x,y)A'(sx, sy) where s is the scale factor of dilation

Taking point R(-8,-4) R'(-2,-1)  finding the scale factor of dilation will be;

s(-8) = -2

s=-2/-8 = 1/4

scale factor is 1/4

2.Given that triangle P'(1,0), Q'(0,-1) and R'(-2.-1) then applying reflection about the y-axis, the formula states that the y-coordinate will remain the same but the x-coordinate will take an opposite sign

This will mean

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

Q'(0,-1)Q''(0,-1)

R'(-2.-1)R''(2,-1)

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)