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An unproven statement that is based on observations
(ex. For all real numbers x, the expression x² is greater than or equal to x)
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| Looking for patterns and making conjectures is part of a process called inductive reasoning. |
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Two rays with a common endpoint that form a straight line.
[image] |
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Two or more geometric figures intersect if they have one or more points in common. The intersection of the figures is the set of points the figures have in common.
[image] |
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| Angles that have the same measure are called congruent angles. |
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The number of degrees contained in the angle
[image]
The above picture is what is used to find the measure of an angle. It is called a protractor. |
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| You can use a compass and straightedge, which is a ruler without marks to contstruct lines |
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We use the midpoint formula to find the point that is exactly between two other points. The picture below is what it looks like.
[image] |
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| A counterexample is an example that shows a conjecture is false. |
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| A point has no dimension. It is usally represented by a small dot. |
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| A line extends in one dimension. It is usually represented by a straight line with two arrowheads to indicate that the line extends without end in two directions. |
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| A plane extends into two dimensions. It is usually represented by a shape that looks like a tabletop or wall. |
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| Points that lie on the same line |
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| Points that lie on the plane |
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The line segment AB consists of two endpoints A and B
[image] |
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The ray AB consists of the initial point A
[image] |
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| Rules that are accepted without proof are called postulates |
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| The real number that corresponds to a point is the coordinate of the point. |
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The distance between points A and B, written as AB is the absolute value of the difference between the coordinates of A and B.
AB is also called the length of line AB |
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The distance formula is a formula for computing the distance between two points in a coordinate plane.
[image] |
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| Segments that have the same length |
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| An angle consists of two different rays that have the same initial point |
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| Sides, Vertex of an Angle |
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The rays are the sides of the angle.
The initial point is the vertex of the angle |
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| Angles that have the same measure |
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