Quadrilaterals in the Coordinate Plane

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Presentation transcript:

Quadrilaterals in the Coordinate Plane

Do now Find the slope of the lines containing the following segments: 1. AB, A (3, 4) and B (5, 8) 2. CD, C (2, 1) and D (-4, 4) 3. EF, E (2, 3) and F (2, 8) 4. GH, G (3, 3) and H (7, 3) 5. IJ, I (9, 10) and J (5, 2)

Do now Answers: 1. AB: slope = 2 2. CD: slope = - 1/2 3. EF : slope is undefined 4. GH: slope is 0 5. IJ : slope is 2

Quadrilaterals in the Coordinate Plane Part A 1. Given: A (4, 3), B (8, 3), C (9, 10), and D (5, 10) are vertices of a quadrilateral. Is quadrilateral ABCD a parallelogram? Use mathematics to justify your answer. (graphing is not acceptable). 2. Verify ABCD is a parallelogram by choosing one pair of opposite sides and showing them parallel and congruent. Use mathematics to explain how you determined your answer. Use words, symbols, or both in your explanation

Quadrilaterals in the Coordinate Plane Part B 3. If A(2, 1), B(5, 4), C(8, 12), and D(5, 9) are the vertices of a quadrilateral, verify that quadrilateral ABCD is a parallelogram. Use mathematics to justify your answer. (Do the problem 4 different ways.) 4. Both pairs of opposite sides parallel. 5. Both pairs of opposite sides congruent. Objects that are exactly the same size and shape are said to be congruent. 6. One pair of sides congruent and parallel. 7. Diagonals bisect each other.