coordinate geometry quadrilaterals


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Question 8
Question: The coordinates of a quadrilateral are (2, 2), (-2, 2), (-2, -2) and (2, -2). What type of quadrilateral is it? Find its perimeter and area. Answer: The quadrilateral is a square, since all sides are equal and each angle is a right ang..
Question 6
image Question: Prove that the points (3, 1), (4, 3), (0, 3) and (-1, 1) are the vertices of a parallelogram. Or diagonals bisect each other. [3 Mark] Hint: Show that the opposite sides are equal Hint:Show that the opposite sides are equal Answer: Let A(3, 1), B(4, 3), C(0, 3), D(-..
Quadrilaterals
A quadrilateral is a polygon having 4 sides. ABCD is a quadrilateral and AC and BD are its diagonal..
Quadrilateral
A plane closed figure formed by four line segments is called a quadrilateral ABCD is a quadrilateral and written as quad. ABC..
Coordinates
The coordinates of a point are quantities, which determine the position of the point. If for instance, a point P lies somewhere on a straight line XX', then its position may be defined by a single number in the following way: Choose some reference point O (or initial point)on XX' and meas..
Coordinates
The coordinates of a point are quantities, which determine the position of the point. If for instance, a point P lies somewhere on a straight line XX', then its position may be defined by a single numbe..
Quadrilateral to be a Parallelogram
If both pairs of opposite sides of a quadrilateral are equal, then this could become sufficient Conditions for a quadrilateral to be a parallelogra..
Properties of quadrilaterals
In a quadrilateral, if opposite sides are equal, it is a parallelogram. In a quadrilateral, if opposite angles are equal, it is a parallelogram. In a quadrilateral, if diagonals bisect each other, it is a parallelogram..
Sufficient conditions for a quadrilateral to be a parallelogram
We can state the defining property of a parallelogram as follows: "If a quadrilateral is a parallelogram, then its opposite sides are equal..
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