I need help figuring out how to do this question(question 3)
2 answers:
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The slope of CD is 2
Step-by-step explanation:
The transformation done is dilation and the Dilation preserves the parallel lines that means that the image line C'D' of the line CD are parallel to each other and their slopes are same. so we have to find the slope of CD.
If the line is passing through the points (x1, y1) and (x2, y2), the slope is
From the diagram the coordinates of points C and D are :
C(5, 4), D(4, 2).
Thus, the slope of CD is
= 2
Hence, The slope of CD is 2, it does not change after dilation.
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Answer:
x = 3
Step-by-step explanation:
You can forget about point R. It does not have any part in this problem, except to add confusion.
The given line PQ has the same y-coordinate values for points P and Q. This means the segment is a horizontal segment. Its perpendicular bisector will be a vertical line through its midpoint.
The midpoint (M) of PQ is ...
M = (P +Q)/2
M = ((-2, 2) +(8, 2))/2 = (-2+8, 2+2)/2 = (6, 4)/2
M = (3, 2)
The vertical line through a point with x-coordinate 3 will have the equation ...
x = 3
Without a vale to substitute for the variable, we can only simplify the expression: since and
, the expression becomes
Now use the property
Now we can factor :