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C
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Difficulty:
65%
(hard)
Question Stats:
62% (02:03) correct
38%
(02:23)
wrong
based on 354
sessions
History
Date
Time
Result
Not Attempted Yet
Given the points 𝐴 (2, 9), 𝐵 (−3, 1) and 𝐶 (10, −2), Which of the following points could be the fourth vertex of parallelogram 𝐴𝐵𝐶𝐷?
A. (8,−11)
B. ( 5,8 )
C. (15,6 )
D. (5,−6)
E. None of these.
A. (8,−11)
B. ( 5,8 )
C. (15,6 )
D. (5,−6)
E. None of these.
02 May 2021, 00:48
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For any parallelogram, the opposite sides must be both parallel and equal.
If you draw in the points and connect (-3 , 1) and (2 , 9) as one of the sides, follow the movements from the X coordinates and the Y coordinates
Then do those same movements from the end vertex (10, -2) ——this will ensure that both opposite side are parallel and congruent.
X coordinate: from -3 to 2——-> 5 units right along X axis
Y coordinate: from 1 to 9 ———-> 8 units up along the positive Y axis
Starting from vertex (10 , -2)
Moving 5 units right brings you to X coordinate = 15
Then moving 8 units up brings you to Y coordinate = 6
(15, 6)
Posted from my mobile device
If you draw in the points and connect (-3 , 1) and (2 , 9) as one of the sides, follow the movements from the X coordinates and the Y coordinates
Then do those same movements from the end vertex (10, -2) ——this will ensure that both opposite side are parallel and congruent.
X coordinate: from -3 to 2——-> 5 units right along X axis
Y coordinate: from 1 to 9 ———-> 8 units up along the positive Y axis
Starting from vertex (10 , -2)
Moving 5 units right brings you to X coordinate = 15
Then moving 8 units up brings you to Y coordinate = 6
(15, 6)
giovannisumano
Posted from my mobile device
General Discussion
23 Jan 2021, 00:24
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Distance between : -3,1 and 2,9 should be equal to 10,-2 and x,y
Solve x,y for all options .
C fits in .
Posted from my mobile device
Solve x,y for all options .
C fits in .
Posted from my mobile device
