Question

40 points thanks and brainlist plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz 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)

Answer 1

Answer:

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).)