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Note: Use grid paper and/or dynamic geometry software to help you in this quiz.  <![CDATA[<a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=jpg::::/sites/dl/free/0070973199/362685/pom9_ch7_sec5_quiz1_ques1.jpg','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="/olcweb/styles/shared/linkicons/image.gif"> (7.0K)</a>]]>
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. |
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What kind of quadrilateral is EFGH? |
| | A) | square |
| | B) | rhombus |
| | C) | parallelogram |
| | D) | all of these |
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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 |
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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 |
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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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