A line segment has endpoints at (8, 3) and (2,5). What would be the equation of this line's perpendicular bisector?
1 answer:
Answer:
y = −1/3x+17/3
Step-by-step explanation:
The line segment has slope -1/3. This means that any line perpendicular to it will have a slope of 3 (negative reciprocal)
Any line that bisects the line segment will pass through its midpoint. The midpoint is (5,4)
Midpoint formula:
So perpendicular bisector of this line is simply a line with slope −1/3 that passes through point (5, 4)
y - 4 = -1/3 (x-5)=
y = −1/3x+17/3
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The scale factor of the dilation of line segment ba for which the center of dilation is C, is 5.
<h3>What is the dilation of the figure?</h3>Dilation of a figure, means the transformation of the figure. The factor by which the given figure dilated, called the scale factor of dilation.
Point c is the center of dilation. Line segment BA is dilated to create line segment b prime, a prime. The image of the given problem is attached below. The length of CA is 4.
The length of a prime is 16.
The new dimension will be,
Now, the scale factor is the ratio of the new dimension to the original dimension. Thus, the scale factor of the dilation is,
This will be the same for the line segment BA. Thus, the scale factor of the dilation of line segment ba for which the center of dilation is C, is 5.
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