belindajolete
11.12.2020 •
Mathematics
HELP ME *** if you give the wrong answer you will be reported Given triangle ABC with A(2, 3), B(0, 6), and C(2,6). Determine if the image A"B"C" is congruent to it's pre-image ABC after the following transformation; dilation of scale factor 1, rotation about the origin of 180 degrees, and a reflection over the line y = -1. Explain your answer.
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Ответ:
Step-by-step explanation:
The image and a pre-image after dilation with coefficient 1 are congruent.
Ответ:
The other endpoint is (-4, -5)
Step-by-step explanation:
We know the formula for the coordinates of the point dividing the line segment in the ratio of a : b is
x = x' +
y = y' +
Now we plug in the values of endpoints (8, -1) and (x, y) with a point (5, -2) dividing the segment in 1 : 3 ratio.
5 = 8 +
5 - 8 =
(x - 8) = -3×4 = -12
x = -12 + 8 = -4
Similarly, -2 = -1 +
-2 + 1 =
y + 1 = -1(4)
y + 1 = -4
y = -1 - 4 = -5
Therefore, another endpoint of the segment is (-4, -5).