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Sagot :
Answer:
To determine which statement about the quadrilateral is true, we need to analyze the given vertices: A(4,5), B(2,4), C(4,3), and D(6,4).
Calculate the slopes of each side to check for parallel sides:
Slope of AB = (5 - 4) / (4 - 2) = 1 / 2
Slope of BC = (4 - 3) / (2 - 4) = 1 / (-2) = -1 / 2
Slope of CD = (3 - 4) / (4 - 6) = (-1) / (-2) = 1 / 2
Slope of DA = (4 - 5) / (6 - 4) = (-1) / 2 = -1 / 2
Since AB and CD have the same slope (1/2), and BC and DA have the same slope (-1/2), ABCD is a trapezoid with only one pair of parallel sides.
Thus, the correct statement is:
**B. ABCD is a trapezoid with only one pair of parallel sides.
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