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| use a compass and straight-edge to precisely make what you are asked. |
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| The set of points including A, B and all points on the line AB between A and B. |
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| A segment from the center of a circle to a point on the circle. |
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| Given a point C in the plane and a number r > 0, the circle with center C and radius r is the set of all points in the plane that are distance r from point C. |
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| 3 or more points which are all on the same line. |
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| 3 or more points which are NOT all on the same line. |
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| Every plane can be determined by three noncollinear points. |
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| A [two-dimensional] figure is a set of points in the plane [examples include triangle, square, rectangle, etc...] |
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| The length of AB is the distance from A to B and is denoted as AB or dist(A,B). |
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| Coordinate System on a Line |
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Definition
| Given a line l, a coordinate system on l is a correspondence between the points on the line and the real numbers. |
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Definition
| a six sided figure which is equilateral and equiangular. |
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| The union of two non-collinear rays with the same endpoint. |
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Definition
| The smaller region inside of an angle |
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Definition
| If C is in the interior of angle AOB, and the measure of angle AOC = the measure of angle COB then OC bisects angle AOB and is called the angle bisector. |
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Definition
| Split into two equal pieces. |
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| Just split at any old place. |
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Definition
| angles that share a side [so they are right next to each other.] |
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| Two angles that add up to 90 degrees. |
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| Two angles that add up to 180 degrees. |
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| Two adjacent angles that together form a straight line. |
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| A point B is called a midpoint of AC if B is between A and C, and AB = BC |
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Definition
| Subdivide the length around a circle into 360 little arcs of equal length. A central angle for any of these arcs is called a one-degree angle and is said to have the measure of 1 degree. |
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| a ray that measures 0 degrees. |
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| a line that measures 180 degrees. |
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Definition
| Two lines intersect at a 90 degree angle. |
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Definition
| a line, ray, or line segment that intersects the midpoint of a line segment at a 90 degree angle. |
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Definition
| An angle that measures 90 degrees |
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Definition
| A point A is said to be equidistant from two different points B and C if AB = AC. |
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| Circumcenter of a Triangle |
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Definition
| the point where the three perpendicular bisectors of the sides of a triangle meet. [obtuse: outside the triangle, acute: inside, right: on the hypotenuse] |
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| the point where the three angle bisectors of the angles of a triangle meet. [always inside the triangle] |
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Definition
| a point where three or more lines intersect at the same point [examples: circumcenter, incenter, etc...] |
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Definition
| Just barely inside of touching the inner walls. |
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Definition
| Just barely big enough to hold the other shape inside of it. |
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Definition
| angles across from each other at an intersection |
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Definition
| A line that intersects two or more other lines at distinct points. |
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Term
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Definition
| a line that you draw in yourself in order to make a question easier to figure out. |
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Term
| Substitution Property of Equality |
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Definition
| You can replace anything with a thing that it is equal to. |
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Term
| Subtraction Property of Equality |
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Definition
| It’s ok to subtract the same amount on both sides of an equation. |
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Term
| Addition Property of Equality |
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Definition
| It’s ok to add the same amount on both sides of an equation. |
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| Multiplication Property of Equality |
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Definition
| It’s ok to multiply the same amount on both sides of an equation. |
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| Division Property of Equality |
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Definition
| It’s ok to divide by the same amount on both sides of an equation. |
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| Transitive Property of Equality |
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Definition
| if a=b and b=c then a=c. This is a very specific version of the Substitution property. |
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| Commutative Property of Addition |
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Definition
| When objects are added together, it doesn’t matter what order you add them. |
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Definition
| a detailed explanation of how a statement follows logically from other statements already accepted as true. |
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Term
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Definition
| a mathematical statement with a proof. |
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