SOLUTION: 1.Describe a condition which assures the diagonal of a parallelogram are congruent? 2.In what most general type of quadrilaterals are opposite angles congruent? 3.Draw a square w

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Question 169937: 1.Describe a condition which assures the diagonal of a parallelogram are congruent?
2.In what most general type of quadrilaterals are opposite angles congruent?
3.Draw a square whose vertices (corner) all lie on the same circle. How is a diameter of the square relate to a diameter( line segment through the center) of the circle.
4. Draw a kite with two right angles that is not a parallelogram. What can you say about the sum of the two interior angle which are unequal?
5. In what most general type of quadrilateral do diagonals bisect each other?

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
1.Describe a condition which assures the diagonal of a parallelogram are congruent?
Ans: The parallelogram must be a rectangle.
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2.In what most general type of quadrilaterals are opposite angles congruent?
Ans: The quadrilateral must be a parallelogram.
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3.Draw a square whose vertices (corner) all lie on the same circle. How is a diameter of the square relate to a diameter( line segment through the center) of the circle.
Ans: The diagonal of the square is the diameter of the circle.
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4. Draw a kite with two right angles that is not a parallelogram. What can you say about the sum of the two interior angle which are unequal?
Ans: There sum is 180 degrees
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5. In what most general type of quadrilateral do diagonals bisect each other?
Ans: Parallelogram
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Cheers,
Stan H.

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