Polygon Properties Exam 2.0

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1. The perimeter of the figure below is 64. What is the length of a ?
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Polygon Properties Exam 2.0 - Quiz

You must complete the following BEFORE taking the Exam 2.0. Corrections made to Polygon Properties Exam on a separate sheet of paper. Corrections signed by a parent/guardian. Have a completed "Geometry Toolbox" to show Mr. FitzPatric

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2. The perimeter of the figure below is 64. What is the measure of angle x ?
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3. The perimeter of the figure below is 64. What is the measure of angle y ?
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4. What is the length of b ?
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5. What is the measure of angle x ?
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6. What is the measure of angle y ?
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7. What is the length of a ?
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8. What is the measure of angle w ?
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9. What is the measure of angle x ?
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10. What is the measure of angle y ?
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11. Can you prove the following?  Please do so on a separate sheet of paper to turn in with your corrections.

Explanation

Other proofs exist, but you can find one possible solution below:




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12. What is the length of a ?
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13. In quadrilateral ABCD , «math xmlns=¨https://www.w3.org/1998/Math/MathML¨»«mover»«mrow»«mi»A«/mi»«mi»B«/mi»«/mrow»«mo»§#175;«/mo»«/mover»«mo»§nbsp;«/mo»«mo»§#8741;«/mo»«mo»§nbsp;«/mo»«mover»«mrow»«mi»C«/mi»«mi»D«/mi»«/mrow»«mo»§#175;«/mo»«/mover»«/math», «math xmlns=¨https://www.w3.org/1998/Math/MathML¨»«mo»§#8736;«/mo»«mi»A«/mi»«mo»§nbsp;«/mo»«mo»§#8773;«/mo»«mo»§nbsp;«/mo»«mo»§#8736;«/mo»«mi»B«/mi»«/math», and «math xmlns=¨https://www.w3.org/1998/Math/MathML¨»«mover»«mrow»«mi»A«/mi»«mi»B«/mi»«/mrow»«mo»§#175;«/mo»«/mover»«mo»§nbsp;«/mo»«mo»§#8800;«/mo»«mo»§nbsp;«/mo»«mover»«mrow»«mi»C«/mi»«mi»D«/mi»«/mrow»«mo»§#175;«/mo»«/mover»«/math».  Which of the following statements is a reasonable conclusion?
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14. The following points can be used to determine several lines: A (3, -9) B (0, -2) C (4, 5) D (5, 19) F (-2, 20) G (12, 19) Which line is perpendicular to «math xmlns=¨https://www.w3.org/1998/Math/MathML¨»«mover»«mrow»«mi»A«/mi»«mi»C«/mi»«/mrow»«mo»§#8596;«/mo»«/mover»«/math» ?
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15. If the measure of an exterior angle of a regular polygon is 20 degrees, how many sides does the polygon have?
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16. A line segment has endpoints of (-2, 6) and (-4, -9).  What is the midpoint of the line segment?
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The perimeter of the figure below is 64. What is the length of a ?
The perimeter of the figure below is 64....
The perimeter of the figure below is 64....
What is the length of b ?
What is the measure of angle x ?
What is the measure of angle y ?
What is the length of a ?
What is the measure of angle w ?
What is the measure of angle x ?
What is the measure of angle y ?
Can you prove the following?  Please do so on a separate sheet of...
What is the length of a ?
In quadrilateral ABCD , , , and .  Which of...
The following points can be used to determine several lines:...
If the measure of an exterior angle of a regular polygon is 20...
A line segment has endpoints of (-2, 6) and (-4, -9).  What is...
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