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| have a common side and a common vertex (corner point), and don't overlap. |
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To divide into two equal parts.
The dividing line is called the "bisector" |
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| line or a ray or a segment that divides a line segment into two equal parts |
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a line or ray that divides an angle into two congruent angles. The two types of angle bisectors are interior and exterior. Some important points to remember about angle bisectors:
The bisector of an angle consists of all points that are equidistant from the sides of the angle.
The three angle bisectors of a triangle are concurrent and intersect at a point called the incenter.
The angle bisector theorem states that if a ray or segment bisects an angle of a triangle then it divides the two segments on either side proportionally. |
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| have the same dimensions and shape. Very loosely, you can think of it as meaning 'equal', but it has a very precise meaning that you should understand completely, especially for complex shapes such as polygons. |
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| collinear/coplanar points |
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Definition
They are lines or points that lie on the same plane.
Remember 3 or more points are collinear if they lie on the same line.
IF those lines lie on the same plane they are ______. |
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| two rays that both start from a common point and go off in exactly opposite directions |
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| Things that you believe that is true with out evidence |
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| is used to determine the distance, d, between two points. If the coordinates of the two points are (x1, y1) and (x2, y2), the distance equals the square root of x2 − x1 squared + y2 − y1 squared. |
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| A point where two or more straight lines meet. A corner |
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| angles opposite each other when two lines cross. |
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| changes the direction to point the opposite way. It looks like a straight line. |
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| The middle point of a line segment. |
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| can be considered to be the average of its endpoints. This concept helps in remembering a formula for finding the midpoint of a segment given the coordinates of its endpoints. Recall that the average of two numbers is found by dividing their sum by two. |
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| The line that divides something into two equal parts. |
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| To draw a shape, line or angle accurately using a compass and straightedge (ruler). |
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| statement that has been proven on the basis of previously established statements |
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| In a right angled triangle the square of the long side is equal to the sum of the squares of the other two sides. |
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| Angles that add up to 180 degrees |
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| complement/complementary angles |
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Definition
| Angles that are 90 degrees |
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| supplement/supplementary angles |
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Definition
| Angles that are 180 degrees |
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Definition
| adding the two angles that are made by drawing a line through the point that the total will equal the large angle |
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| segment addition postulate |
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Definition
| B is between A and C, then AB + BC = AC. The converse is also the same. If AB + BC = AC, then B is between A and C |
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