Math  /  Geometry

QuestionGraph the points A(2,3),B(7,8),C(9,6)A(2,-3), B(7,-8), C(9,-6), and D(4,1)D(4,-1). Draw rectangle ABCDA B C D and diagonals AC\overline{A C} and BD\overline{B D}. a. Find the midpoints of AC\overline{A C} and BD\overline{B D}. b. What appears to be true about the diagonals of a rectangle? a. The midpoint of AC\overline{\mathrm{AC}} is (112,92)\left(\frac{11}{2}, \frac{-9}{2}\right). (Type an ordered pair.)
The midpoint of BD\overline{B D} is \square . (Type an ordered pair.) Clear all

Studdy Solution
Analyze the midpoints calculated in steps 2 and 3. Since both midpoints are the same, it confirms that the diagonals of rectangle ABCD ABCD bisect each other.
The midpoint of BD\overline{B D} is (112,92)\boxed{\left( \frac{11}{2}, \frac{-9}{2} \right)}.

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