(b) Find the co-ordinates of the point R which divides the segment joining P. You can ask a new question or answer this question. points, externally in the ratio 2 : 1 and verify that Q is the midpoint of PR. How do you verify that parallelogram ABCD with vertices A (-5. Therefore, by showing that ABCD is a parallelogram with perpendicular diagonals, we have verified that it is a rhombus. Since the product of the slopes of the diagonals is (-2/3) * (3/2) = -1, which is the negative reciprocal of each other, we can conclude that the diagonals AC and BD are perpendicular to each other. (-4, 3) 6- 4+ (6, 1) A A: in question, three vertex of parallelogram is given we find out 4th vertext. Slope of BD = ((-2) - 6) / (3 - (-9)) = (-8) / 12 = -2/3. Three vertices of a parallelogram are shown on a coordinate plane below. The slope of the diagonal BD can be found using the same formula: Question: Verify that parallelogram ABCD with vertices A(-5, 1), B(-9, 6), C(-1, 5), and D(3, -2) is rhombus by showing that it is a parallelogram with perpendicular. From these coordinates, various properties such as its altitude can be found. The slope of the diagonal AC can be found using the slope formula: Each of the four vertices (corners) have known coordinates. Step 2: Show that the diagonals of ABCD are perpendicular. Since all pairs of opposite sides are parallel, we have shown that ABCD is a parallelogram. The slopes of BC and AD are respectively -1/2 and -1/2, which are equal. Verified by Toppr Given sides of parallelogram A ( 2, 1 ), B ( a, 0 ), C ( 4, b ), D ( 1, 2 ) We know that diagonals of Parallelogram bisect each other. Similarly, we can find the slopes of sides BC and AD to show that they are also parallel. Since the slopes of AB and CD are equal, we can conclude that AB and CD are parallel. The slope of side CD can be determined using the same formula: The slope of side AB can be determined using the formula: slope = (y2 - y1) / (x2 - x1). We can determine the slopes of two pairs of opposite sides and show that they are equal. The opposite sides of a parallelogram are parallel. Step 1: Show that ABCD is a parallelogram. david beat james but finished after sarah. 1 answer To verify that parallelogram ABCD is a rhombus, we need to show that it is a parallelogram and that its diagonals are perpendicular to each other. Verified answer N a bike race: julie came in ahead of roger.
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