Asked by mekhi

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)

Answers

Answered by mathhelper
Ok, after you plotted the two triangles, did you not notice that ...

PartA: somebody simply took half of the coordinates of the first
triangle to get the 2nd triangle ?
So what is the scale factor?

PartB: if any point is reflected in the y-axis, its y value stays the same, but
but its x value becomes the opposite.
so Q'(3,1) ----> Q''(-3,1) etc

PartC: to be congruent, the two triangles must have all corresponding sides and angles equal to each other. Is that the case?
Do they even have the same area??
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