ABCD – parallelogram. A (-3; -1), B (-2; 4), C (6; -1). What are the coordinates of point D.
| September 22, 2021 | education
The segment AC is parallel to the segment BD and is equal to it (by the definition of a parallelogram).
It can be concluded that the ordinate of point D is equal to the ordinate of point B, that is, 4.
Point coordinates D (X; 4). We are looking for the abscissa of point D.
The length of the segment AC is 9 units. From point B, we put off a segment of the same length, parallel to the X axis, we get the value (―2 + 9) = 7. This is the abscissa of point D.
Answer: coordinates of point D (7; 4).
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