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Choose the most correct statement given that Quadrilateral ABCD has vertices A(2, 1),B(2, 4), C(7, 4), and D(6, 1).

Choose the most correct statement given that Quadrilateral ABCD has vertices A(2, 1),B-example-1
User Eyad Bereh
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1 Answer

16 votes
16 votes

Answer:

Quadrilateral ABCD is not a rectangle, square, or parallelogram because both pairs of opposite sides are not parallel or congruent.

Explanation:

Consider quadrilateral ABCD with its vertices at:

A(2, 1), B(2, 4), C(7, 4), and D(6, 1).

Line AD is a horizontal line passing through y=1.


AD=|6-2|=4\text{ units}

Similarly, line BC is a horizontal line passing through y=4.


BC=|7-2|=5\text{ units}

Since the opposite sides are not equal, the quadrilateral ABCD is not a rectangle, square, or parallelogram because both pairs of opposite sides are not parallel or congruent.

The last option is correct.

Note: The result can be confirmed from the graph below:

Choose the most correct statement given that Quadrilateral ABCD has vertices A(2, 1),B-example-1
User Adis Azhar
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