Plz
triangle pqr is transformed to triangle p'q'r'. triangle pqr has vertices p(8, 0), q(6, 2), and r(−2, −4). triangle p'q'r' has vertices p'(4, 0), q'(3, 1), and r'(−1, −2). 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)

Step-by-step explanation:

A) Triangle PQR is transformed into triangle P'Q'R' by a scale of 1/2 because

1/2 (8,0) = (4,0) ; 1/2(6,2) =(3,1) ; 1/2(-2,-4) = (-1,-2)

B) When P'Q'R' reflected across the y axis, the y values don't change, the x values become the opposites, so (-4,0), (-3,1), (1,-2)

C) They are similar, but not congruent. The side length of P''Q''R'' is only half of the side length of PQR. A dilation produces congruent shapes

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

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