1.Determine whether the quadrilateral shown in the figure is a parallelogram. Justify your answer. 2. Determine whether the quadrilateral shown in the figure is a parallelogram. Justify your answer. 3. Use the Distance Formula to determine whether a figure with vertices A(3, 7), B(9, 10), C(10, 6), D(4, 3) is a parallelogram. 4. Use the Slope Formula to determine whether a figure with vertices R(2, 3), S(–1, 2), T(–1, –2), U(2, –2) is a parallelogram.
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Lesson 4 Menu 1.Determine whether the quadrilateral shown in the figure is a parallelogram. Justify your answer. 2.Determine whether the quadrilateral.
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1. Determine whether the quadrilateral
shown in the figure is a parallelogram.
Justify your answer.
2. Determine whether the quadrilateral
shown in the figure is a parallelogram.
Justify your answer.
3. Use the Distance Formula to determine whether a figure with vertices A(3, 7), B(9, 10), C(10, 6), D(4, 3) is a parallelogram.
4. Use the Slope Formula to determine whether a figure with vertices R(2, 3), S(–1, 2), T(–1, –2),U(2, –2) is a parallelogram.
Kyle is building a barn for his horse. He measures the diagonals of the door opening to make sure that they bisect each other and they are congruent. How does he know that the measure of each corner is 90?
Diagonals of a Parallelogram
We know that A parallelogram with congruent diagonals is a rectangle. Therefore, the corners are 90° angles.