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Key Concept Quiz 7.5
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1
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Quadrilateral ABCD is a kite, with equal sides as shown. E is the midpoint of AB, F is the midpoint of BC, G is the midpoint of CD, and H is the midpoint of DA. Which of these is (are) true?
A)EH || FG
B)EF || HG
C)AB || DC
D)All of these are true.
2
What kind of quadrilateral is EFGH?
A)square
B)rhombus
C)parallelogram
D)all of these
3
Is angle EFG always obtuse, acute, or a right angle for a kite?
A)It depends on the dimensions of the original kite ABCD.
B)obtuse
C)acute
D)right angle
4
How does the area of the kite ABCD relate to the area of EFGH?
A)It depends on the dimensions of the original kite ABCD.
B)2:1
C)3:1
D)4:1
5
Johann conjectures that any diagonal of a quadrilateral always bisects the area.
A)This is always true.
B)This is true only if the quadrilateral is a square.
C)This is true only if the quadrilateral is a rhombus.
D)This is true only if the quadrilateral is a parallelogram.







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