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Please help answer these.
State whether the following are given, unfounded or covered by a particular definition. Provide the explanation for your selection:
1. If I have two coplanar lines, I must have a plane.
2. There are two adjacent angles whose outside edges form a straight line. The measure of the first angle is 100 degrees, so the measure of the other must be 80 degrees
3. I have drawn a polygon with eight sides, so it must be an octagon.
4. A square has two diagonals.
5. If the diameter of the circle is 12, the radius must be 6.
http://www.sc.whitmoreschool.org/sec/students/classes/geometry/lesson27_files/imageQ28.JPG
Use the following images for questions 6 through 10:
6. In the figure above, line segment MC is equal to imaginary line segment MI.
7. In the figure above, line segment EJ is equal to line segment JM.
8. In the figure above, the measure of angle AMC is 90 degrees.
9. In the figure above, the measure of arc AC is 90 degrees
10. In the figure above the measure of angle AME is x degrees, then the measure of angle EMB is 180-x degrees.
11. In a right triangle where one side is 3, and the hypotenuse is 5, the remaining side must be 4.
12. In a triangle, if I have two angles that add up to 50 degrees, the remaining angle must be 130 degrees.
13. The diameter of a circle always passes through the midpoint of the circle.
14. If a central angle is 30 degrees, then the arc it defines is also 30 degrees.
15. The area of a sphere is 4 times the area of a circle with the same radius.
16. If a radius bisects a chord, then the lengths of the parts of the radius on either side of the chord are equal.
17. If a circle has a central point M, and both point A and point D are on the circle, then ls_MA and ls_MD will be equal.
18. If I have two points, (-2, -3) and (-4, 4) then the distance between them is sqrt(53).
19. The given points (4, -8), (4, -5), and (-2, -6) make a right triangle.
20. The given points (2, -3), (-7, -7), (2, -7), and (-7, -2) make a square.
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