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Triangle PQR is transformed to triangle P'Q'R'. Triangle PQR has vertices P(3, −6), Q(0, 9), and R(−3, 0). Triangle P'Q'R' has vertices P'(1, −2), Q'(0, 3), and R'(−1, 0). 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. Part c: They must be similar but because of dilation they cant be congruent.
Part B: NO IDEA. Part A: I really don't know what they're asking here o-o
I can't see the rest of the word omo
You can see the scale is 1/3, since Q (0,9) goes to Q' (0,3) P (3,-6) goes to P' (1,-2) |dw:1444602422134:dw|
same as R (-3,0) goes to R' (-1,0) 1/3 R = R'
for B, just change the x-coordinate of the points from positive to negative. like P' ( 1,-2), after reflecting about y axis, it becomes (-1,-2) . That is it. Do the same with Q', R'
for C, they are congruent.
B: Q'= (0,3) R'= (-1, 0) P'= (-1, -2) < making sure I got that right.
Ohhh so everything is opposite
just x-coordinate, not y
because 0 is a positive and a negative ( aka it can't be negative.)
Part A: 1/3 Q (0,9) goes to Q' (0,3) P (3,-6) goes to P' (1,-2) Part B: r' = (1,0) P'= (-1, -2) Q'= (0,3) Part C: They are congruent.
answer for a ) is " the scale of dilation is 1/3"
It says to explain why they're congruent, I thought congruent meant same shape and same size that's why your answer is confusing me.
One of the theorem of congruence is SSS, right? your triangle P'Q' R' after rotating about y axis, its sides do not change its length. right? You fold a triangle by a paper, then you rotate it, or move it to other place, its sides stay, right? the triangle is itself still., right?
I have one more question if you wouldn't mind?
have to see it first/
In the figure shown, line AB is parallel to line CD. What is the measure of angle x? Explain your answer. https://gyazo.com/05c4085b802f264b814f774b986d2be0
I tried adding them but I got 185... now I'm stumped.
Maybe I should subtract them and see what 180- x =?