ABC has coordinates of A(–5, –7), B(6, –3), and C(2, 7). Find the coordinates of its image after a dilation centered at the orig
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Given:
The point divides the line segment joining points
and
.
To find:
The ratio in which he point P divides the segment AB.
Solution:
Section formula: If a point divides a segment in m:n, then the coordinates of that point are,
Let point P divides the segment AB in m:n. Then by using the section formula, we get
On comparing both sides, we get
Multiply both sides by 4.
It can be written as
Therefore, the point P divides the line segment AB in 1:5.