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Question
The coordinates of the vertices of ΔABC are respectively (–4, –2), (6, 2), and (4, 6). The centroid G of ΔABC is ______.
Options
(2, 2)
(2, 3)
(3, 3)
(0, –1)
MCQ
Fill in the Blanks
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Solution
The coordinates of the vertices of ΔABC are respectively (–4, –2), (6, 2), and (4, 6). The centroid G of ΔABC is (2, 2).
Explanation:
Coordinates of the centroid G of ΔABC
= `((x_1 + x_2 + x_3)/3, (y_1 + y_2 + y_3)/3)`
= `((-4 + 6 + 4)/3, (-2 + 2 + 6)/3)`
= (2, 2)
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RELATED QUESTIONS
In the given diagram, ABC is a triangle, where B(4, – 4) and C(– 4, –2). D is a point on AC.
- Write down the coordinates of A and D.
- Find the coordinates of the centroid of ΔABC.
- If D divides AC in the ratio k : 1, find the value of k.
- Find the equation of the line BD.
Find the coordinates of the centroid P of the ΔABC, whose vertices are A(–1, 3), B(3, –1) and C(0, 0). Hence, find the equation of a line passing through P and parallel to AB.
