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The coordinates of three vertices of parallelogram are (1,3)(2,0) and (5,1), then its 4th vertex is
- a)(3,3)
- b)(4,4)
- c)(4,1)
- d)(0,-4)
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
The coordinates of three vertices of parallelogram are (1,3)(2,0) and ...
Explanation:
In a parallelogram opposite sides are equal and parallel, so we can find the fourth vertex as follows:
Step 1:
Find the vector between the first two given vertices by subtracting the coordinates of the initial vertex from the coordinates of the terminal vertex.
u = <2-1, 0-3=""> = <1, -3="">
Step 2:
Find the vector between the second and third given vertices by subtracting the coordinates of the initial vertex from the coordinates of the terminal vertex.
v = <5-2, 1-0=""> = <3, 1="">
Step 3:
Add the vector u to the coordinates of the third given vertex to get the fourth vertex.
(5,1) + <1,-3> = (6,-2)
Step 4:
Add the vector v to the coordinates of the first given vertex to get the fourth vertex.
(1,3) + <3,1> = (4,4)
Step 5:
Compare both answers for the fourth vertex. The correct answer is (4,4) which is option 'B'.
In a parallelogram opposite sides are equal and parallel, so we can find the fourth vertex as follows:
Step 1:
Find the vector between the first two given vertices by subtracting the coordinates of the initial vertex from the coordinates of the terminal vertex.
u = <2-1, 0-3=""> = <1, -3="">
Step 2:
Find the vector between the second and third given vertices by subtracting the coordinates of the initial vertex from the coordinates of the terminal vertex.
v = <5-2, 1-0=""> = <3, 1="">
Step 3:
Add the vector u to the coordinates of the third given vertex to get the fourth vertex.
(5,1) + <1,-3> = (6,-2)
Step 4:
Add the vector v to the coordinates of the first given vertex to get the fourth vertex.
(1,3) + <3,1> = (4,4)
Step 5:
Compare both answers for the fourth vertex. The correct answer is (4,4) which is option 'B'.
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The coordinates of three vertices of parallelogram are (1,3)(2,0) and (5,1), then its 4th vertex isa)(3,3)b)(4,4)c)(4,1)d)(0,-4)Correct answer is option 'B'. Can you explain this answer?
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