Since you know that it is a parallelogram (not parallellogram!) you already know that the opposite sides are mutually parallel. All you need to do is to establish that any pair of adjacent sides are of equal length, or equivalently, the squares of these lengths are equal. The squared length of the line AB where A = (p,q) and B = (r,s) is
(p - r)^2 + (q - s)^2.
Greyson Swaniawski
If you mean points of (8, 4) and (8, -2) then the line has no slope and it is a vertical straight line parallel to the y axis
Consider the line segment between the points of (6, 8) and (3, 4) Using Pythagoras' theorem its length is: (6-3)squared+(8-4)squared = 25 So the square root of 25 is 5 which is the length of the line
The perimeter decreases by 4. Decreasing the length by 4 decreases the perimeter by 8. Increasing the width by 2 increases the perimeter by 4. -8+4=-4 For example: Area of a rectangle could be: 8 x 6 (8 being the length and 6 being the width). The perimeter is 8+8+6+6=28 If the length is decreased by 4 then it becomes 4 If the width is increased by 2 then it becomes 8. The perimeter becomes 4+4+8+8=24
The length is 3*sqrt(5) = 6.7082, approx.
If: x-2y = 8 and xy = 24 Then: x = 8+2y and y(8+2y) = 24 => 2y^2+8y-24 = 0 Solving the above quadratic equation: y = 2 or y = -6 Points of intersection of the line with the curve: (-4, -6) and (12, 2) Length of line: square root [(-4-12)^2 plus (-6-2)^2] = square root of 320 which is about 18 units rounded to the nearest integer
End points: (-2, -4) and (-8, 4) Length of line AB: 10
If the midpoint of a horizontal line segment with a length of 8 is (3, -2), then the coordinates of its endpoints are (6, -2) and (0, -4).
Endpoints: A (-2, -4) and B (-8, 4) Length of AB: 10 units
12
Using Pythagoras Length AB = √((-8 - 2)² + (4 - -4)²) = √(6² + 8²) = √100 = 10 units.
If you mean points of (8, 4) and (8, -2) then the line has no slope and it is a vertical straight line parallel to the y axis
Consider the line segment between the points of (6, 8) and (3, 4) Using Pythagoras' theorem its length is: (6-3)squared+(8-4)squared = 25 So the square root of 25 is 5 which is the length of the line
It depends on the length. The surface area would be 4*length+8*length+16.
The perimeter decreases by 4. Decreasing the length by 4 decreases the perimeter by 8. Increasing the width by 2 increases the perimeter by 4. -8+4=-4 For example: Area of a rectangle could be: 8 x 6 (8 being the length and 6 being the width). The perimeter is 8+8+6+6=28 If the length is decreased by 4 then it becomes 4 If the width is increased by 2 then it becomes 8. The perimeter becomes 4+4+8+8=24
If you mean: (2, 5) and (2, 8) then the length works out as 3 units
The length is 3*sqrt(5) = 6.7082, approx.
It is 3 units long.