The vertices of a parallelogram in order are A(1, 2), B(4, y), C(x, 6) and D(3, 5). Then (x, y) is:
(6, 3)
(3, 6)
(5, 6)
(1, 4)
Section Formula
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Question

The vertices of a parallelogram in order are A(1, 2), B(4, y), C(x, 6) and D(3, 5). Then (x, y) is: 1. (6, 3) 2. (3, 6) 3. (5, 6) 4. (1, 4)

KnowledgeBoat · Accepted Answer

In a parallelogram, the diagonals bisect each other. Therefore, the mid-point of AC = mid-point of BD. By mid-point formula, (x, y) = Substituting values, we get : For diagonal AC : For diagonal BD: Since both mid-points are equal, we equate their coordinates: (x, y) = (6, 3). Hence, Option 1 is the correct option.

Mathematics

The vertices of a parallelogram in order are A(1, 2), B(4, y), C(x, 6) and D(3, 5). Then (x, y) is:
(6, 3)
(3, 6)
(5, 6)
(1, 4)

Section Formula

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The fourth vertex D of a parallelogram ABCD whose three vertices are A(-2, 3), B(6, 7) and C(8, 3) is:
(0, 1)
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A(1, 4), B(4, 1) and C(x, 4) are the vertices of ΔABC. If the centroid of the triangle is G(4, 3), then x is equal to:
2
1
7
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Mathematics

The vertices of a parallelogram in order are A(1, 2), B(4, y), C(x, 6) and D(3, 5). Then (x, y) is:(6, 3)(3, 6)(5, 6)(1, 4)

Section Formula

Related Questions

A circle has its centre at (4, 4). If one end of a diameter is (4, 0), then the coordinates of the other end are:(0, 4)(4, 8)(4, -8)(-4, -8)

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A(1, 4), B(4, 1) and C(x, 4) are the vertices of ΔABC. If the centroid of the triangle is G(4, 3), then x is equal to:2174

The vertices of a parallelogram in order are A(1, 2), B(4, y), C(x, 6) and D(3, 5). Then (x, y) is:
(6, 3)
(3, 6)
(5, 6)
(1, 4)

A circle has its centre at (4, 4). If one end of a diameter is (4, 0), then the coordinates of the other end are:
(0, 4)
(4, 8)
(4, -8)
(-4, -8)

The fourth vertex D of a parallelogram ABCD whose three vertices are A(-2, 3), B(6, 7) and C(8, 3) is:
(0, 1)
(0, -1)
(-1, 0)
(1, 0)

A(1, 4), B(4, 1) and C(x, 4) are the vertices of ΔABC. If the centroid of the triangle is G(4, 3), then x is equal to:
2
1
7
4