Question
A rectangle has its vertices at the following coordinates:
,
,
, and
. What are the coordinates of the center of the rectangle?
Ask by Wood Christensen. in Greece
Jan 18,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The center of the rectangle is at
.
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Mind Expander
To find the center of the rectangle, you can calculate the midpoint of the diagonals. The diagonals of the rectangle are AC and BD.
The coordinates of points A and C are
and
. The midpoint of AC can be found using the formula
:
Similarly, the coordinates of points B and D are
and
. The midpoint of BD is:
Thus, the coordinates of the center of the rectangle are
.