UPSC Exam > UPSC Questions > Plot the point A(2, 3), B(2, 1), C(0, 1) and ...
Start Learning for Free
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.?
Most Upvoted Answer
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.
Attention UPSC Students!
To make sure you are not studying endlessly, EduRev has designed UPSC study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in UPSC.
|
Explore Courses for UPSC exam
|
|
Similar UPSC Doubts
Top Courses for UPSCView all
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.?
Question Description
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.?.
Solutions 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.? in English & in Hindi are available as part of our courses for UPSC.
Download more important topics, notes, lectures and mock test series for UPSC Exam by signing up for free.
Here you can find the meaning of 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.? defined & explained in the simplest way possible. Besides giving the explanation of
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.?, a detailed solution 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.? has been provided alongside types of 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.? theory, EduRev gives you an
ample number of questions to practice 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.? tests, examples and also practice UPSC tests.
|
|
Explore Courses for UPSC exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup