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Plot the point A(2, 3), B(2, 1), C(0, 1) and D(0, 3). name the figure formed by joining all the points and find the Perimeter.?
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Plot the point A(2, 3), B(2, 1), C(0, 1) and D(0, 3). name the figure ...
Plotting the Points
To visualize the points A(2, 3), B(2, 1), C(0, 1), and D(0, 3), we can plot them on a Cartesian coordinate system:
- Point A is located at (2, 3)
- Point B is located at (2, 1)
- Point C is located at (0, 1)
- Point D is located at (0, 3)
By connecting these points in order, we form a closed figure.
Identifying the Figure
The shape formed by joining these points is a rectangle. Here's the reasoning:
- Opposite Sides Are Equal:
- AB = CD (vertical sides)
- BC = AD (horizontal sides)
- Right Angles:
- All angles in the figure are right angles (90 degrees).
Calculating the Perimeter
The perimeter (P) of a rectangle can be calculated using the formula:
\[ P = 2 \times (length + width) \]
Where:
- Length: Distance between points A and B (or C and D)
- Width: Distance between points A and D (or B and C)
Step-by-Step Calculation:
- Length (AB):
- From A(2, 3) to B(2, 1) = |3 - 1| = 2 units
- Width (AD):
- From A(2, 3) to D(0, 3) = |2 - 0| = 2 units
Now plug these values back into the perimeter formula:
\[ P = 2 \times (2 + 2) = 2 \times 4 = 8 \text{ units} \]
Conclusion
The figure formed is a rectangle, and the perimeter is 8 units.
To visualize the points A(2, 3), B(2, 1), C(0, 1), and D(0, 3), we can plot them on a Cartesian coordinate system:
- Point A is located at (2, 3)
- Point B is located at (2, 1)
- Point C is located at (0, 1)
- Point D is located at (0, 3)
By connecting these points in order, we form a closed figure.
Identifying the Figure
The shape formed by joining these points is a rectangle. Here's the reasoning:
- Opposite Sides Are Equal:
- AB = CD (vertical sides)
- BC = AD (horizontal sides)
- Right Angles:
- All angles in the figure are right angles (90 degrees).
Calculating the Perimeter
The perimeter (P) of a rectangle can be calculated using the formula:
\[ P = 2 \times (length + width) \]
Where:
- Length: Distance between points A and B (or C and D)
- Width: Distance between points A and D (or B and C)
Step-by-Step Calculation:
- Length (AB):
- From A(2, 3) to B(2, 1) = |3 - 1| = 2 units
- Width (AD):
- From A(2, 3) to D(0, 3) = |2 - 0| = 2 units
Now plug these values back into the perimeter formula:
\[ P = 2 \times (2 + 2) = 2 \times 4 = 8 \text{ units} \]
Conclusion
The figure formed is a rectangle, and the perimeter is 8 units.
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Plot the point A(2, 3), B(2, 1), C(0, 1) and D(0, 3). name the figure formed by joining all the points and find the Perimeter.?
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Plot the point A(2, 3), B(2, 1), C(0, 1) and D(0, 3). name the figure formed by joining all the points and find the Perimeter.? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Plot the point A(2, 3), B(2, 1), C(0, 1) and D(0, 3). name the figure formed by joining all the points and find the Perimeter.? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Plot the point A(2, 3), B(2, 1), C(0, 1) and D(0, 3). name the figure formed by joining all the points and find the Perimeter.?.
Plot the point A(2, 3), B(2, 1), C(0, 1) and D(0, 3). name the figure formed by joining all the points and find the Perimeter.? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Plot the point A(2, 3), B(2, 1), C(0, 1) and D(0, 3). name the figure formed by joining all the points and find the Perimeter.? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Plot the point A(2, 3), B(2, 1), C(0, 1) and D(0, 3). name the figure formed by joining all the points and find the Perimeter.?.
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