three vertices of a rectangle are (3,2) (-4,2) (-4,5) plot these points on graph paper and the coordinates of the fourth point are
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The coordinates of the fourth vertex of the rectangle for given three vertices are (3, 5)
Finding the coordinates of the fourth vertex of rectangle using graph paper:
- As the first step, plot the given three vertices of rectangle on graph sheet as A, B, C. We have to find the fourth vertex D.
- From graph, AB = 7 cm and BC = 3 cm.
- We know that, opposite sides of a rectangle are parallel and equal.
- Therefore, AB = DC = 7 cm and BC = AD = 3 cm.
- To find D, plot a point which is 3 cm above A and 7 cm to the left of C.
- The point so obtained is (3, 5) which is the fourth vertex D of rectangle.
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Step-by-step explanation:
As the first step, plot the given three vertices of rectangle on graph sheet as A, B, C. We have to find the fourth vertex D.
From graph, AB = 7 cm and BC = 3 cm.
We know that, opposite sides of a rectangle are parallel and equal.
Therefore, AB = DC = 7 cm and BC = AD = 3 cm.
To find D, plot a point which is 3 cm above A and 7 cm to the left of C.
The point so obtained is (3, 5) which is the fourth vertex D of rectangle.
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