Determine the coordinates of the unknown vertex or vertices of each figure below. Use variables if necessary.I'm not sure how to find C and E.

Kody Whitaker 2022-09-26 Answered
Determine the coordinates of the unknown vertex or vertices of each figure below. Use variables if necessary.I'm not sure how to find C and E.
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Answers (1)

maceratorti
Answered 2022-09-27 Author has 10 answers
Opposite sides of a parallelogram are parallel and congruent. Since A B ¯ lies on the x-axis, it is horizontal. Thus, side C D ¯ is also horizontal. Since it passes through the point D ( b , c ), the y-coordinate of point C is c. Since A B ¯ has length a, so does C D ¯ Hence, the x-coordinate of point C is a + b. Therefore, the coordinates of point C are ( a + b , c ).
The diagonals of a parallelogram bisect each other. Thus, point E is the midpoint of A C ¯ . Hence, its coordinates are
( a + b 2 , c 2 )
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