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jlewis711777
05.05.2020 •
Mathematics
41. Line m passes through the points (-2, 7) and
(4.-5), as shown below. Which of the
following could be the equation of a line that
is parallel to line m?
Select one:
A.y= 3x + 5
B.y = -3x - 4
C.y = -2x + 7
Dy= 1/2x + 1
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Ответ:
The correct answers are:
1/3; P''(-1, -2), Q''(0, 3), R''(1, 0); and No.
Explanation:
To find the scale factor, we must find the length of a side from the pre-image and one from the image. We will use the distance formula for this.
For PQ,
For P'Q',
The length of P'Q' is 1/3 the length of PQ, so the scale factor is 1/3.
Reflecting P'Q'R' across the y-axis negates each x-coordinate. This gives us
P'(1, -2)→P''(-1, -2)
Q'(0, 3)→Q''(0, 3)
R'(-1, 0)→R''(1, 0)
The two triangles are not congruent; this is because the lengths of the sides are not the same. In order for two triangles to be congruent, the sides and angles must be the same in the two triangles.