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Using coordinate geometry how can you prove that the midpoints of the sides of a rhombus determine a rectangle?
Step 1: Identify the coordinates of the vertices of the rhombus.
Step 2: Calculate the coordinates of the midpoints of the sides. x-coordinate of midpoint = average of x-coordinates of the two end points, and similarly the y- coordinate.
Step 3: Calculate lengths of sides of the quadrilateral formed (using Pythagoras)
Step 4: Use step 3 results to show opposite sides are equal.
Step 5: Calculate gradient (slope) of any two adjacent sides, if defined.
Step 6: The two gradients multiply to -1 which shows that they are perpendicular.
4 and 6 prove that the quadrilateral is a rectangle.
If a side of the quadrilateral is vertical, its gradient (step 5) is not defined, but then the adjacent side will be horizontal. And so the two sides are perpendicular.
What else can I help you with?
Who founded coordinate geometry?
Coordinate Geometry is also Analytic Geometry, founded by Rene Descartes.
What is the use of coordinate geometry in computers?
Coordinate geometry is mainly used in computers for computer graphics software. Coordinate geometry is two-dimensional, and includes shapes such as lines and polygons.
Can line segments have two midpoints?
not in euclidean geometry (I don't know about non-euclidean).
An application of coordinate geometry?
by using coordinate geometry you can find the position of a place in earth by using the pictures taken by satellites.
What is an oblong in geometry?
rectangle
Who founded coordinate geometry?
Coordinate Geometry is also Analytic Geometry, founded by Rene Descartes.
What is the use of coordinate geometry in computers?
Coordinate geometry is mainly used in computers for computer graphics software. Coordinate geometry is two-dimensional, and includes shapes such as lines and polygons.
How ti use midpoints?
In terms of Geometry, midpoints are specific points on a line that are an equal distance from both of its endpoints. In order to use midpoints, one must use the following equation: (A+B)/2.
Can line segments have two midpoints?
not in euclidean geometry (I don't know about non-euclidean).
History of coordinate geometry?
history of co-ordinate geometry
What does science geometry have to do with science?
use of coordinate geometry in geography
An application of coordinate geometry?
by using coordinate geometry you can find the position of a place in earth by using the pictures taken by satellites.
What is an oblong in geometry?
rectangle
Who is the father coordinate geometry?
Rene Descartes
What was the history of the coordinate geometry?
n[p
Area of triangle in coordinate geometry?
yes
Who is the father of coordinate geometry?
Rene Descartes
