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| Using patterns to make a conjecture (a statement that is not proven to be true). |
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| A statement that is made based on observations. It is also a statement that is unproven. |
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| Uses known words to describe a new word. |
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| An agreed upon definition for words that are not formally defined. In geometry there are three: point, line and plane. |
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Definition
A place in space.
It does not have any length, width, height, or depth, but is represented by a dot.
It is named using a capital letter. |
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A 'string' of places in space. It is a geometric figure that extends forever in two directions.
On paper, it is represented by a straight line with two arrowheads to show that it does not end.
It is named using two points or with one, lowercase, cursive letter. |
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Definition
u A flat surface. It is a geometric figure that extends in all directions.
On paper, it is represented by a shape that looks like a tabletop or wall.
It is named using three points or with one, capital, cursive letter. |
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| Points that lie on the same line |
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| Points that lie on the same plane. |
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| This is a portion of a line. It has two endpoints and does not extend forever in two directions. |
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| The stopping points of a line segment. |
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| A portion of a line that has one endpoint and continues forever in only one direction. The starting point in called the initial point. |
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| The starting point of a ray. |
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| This occurs when two of these geometric figures are situation in a way that makes it look like a line. They share the same initial point and extend forever in two directions. |
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Definition
| Rules that are accepted without proof, can also be called an axiom. |
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Definition
| Rules that are accepted without proof, can also be called a postulate. |
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Definition
| How far it is from one point to another, can also be called length. |
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| The distance (how far it is) between two points. |
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Term
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Definition
| This formula calculates how far it is from one point to another.
The four steps of the formula is:
1. Subtract the x’s and y’s,
2. Square the two values,
3. Add the two values,
4. Square root that value.
You may also recognize it as:
[image] |
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Definition
| Two lines segments that are the same length. |
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| A geometric figure that is formed by two rays that have the same initial point. The two rays are called the sides of this geometric figure. The common initial point is called the vertex. |
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| This is the name for the point of the angle where the two rays begin. |
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| Angles that have the same measure. |
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| Size of a geometric figure. Line segments are measured in inches and angles are measured in degrees. |
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| The inside area of an angle. |
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| The outside area of an angle. |
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| An angle that has a measure that is less than 90 degrees. |
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Definition
| An angle that has a measure that is more than 90 degrees. |
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| An angle whose measure is exactly 90 degrees. |
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Definition
| An angle whose measure is exactly 180 degrees. This geometric figure is made of opposite rays and resembles a line. |
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Definition
| Two angles that share one ray. It can also be recognized as two angles that are side by side. |
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Definition
| A point on a line segment that divides it into two equal parts. |
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Definition
| Using one geometric figure to divide another geometric figure into two equal parts. |
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| A geometric figure that divides a line segment into two equal pieces. |
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Definition
| A construction tool used to produce geometric figures. Although it is generally identified as drawing circles, it can also be used to construct other geometric figures. |
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Definition
| A construction tool used to produce lines, line segments, or rays. This type of geometry tool does not have any type of markings on it. |
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| Producing a geometric drawing. |
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| A geometric drawing created using a compass and/or a straightedge. |
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Definition
| This formula calculates the location in the middle of two other points. When you average the x’s of the endpoints, you will have the x-coordinate of the point in the middle. To get the y-coordinate of the point in the middle, average the y’s of the endpoints. |
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Definition
| A ray that divides an angle into two equal pieces. |
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Definition
| The top and bottom angles of an "X," or the left and right angles of an "X." |
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Definition
| Two adjacent angles whose outer sides are opposite rays. These angles are supplementary angles. |
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Definition
| Angles whose values add to be 90 degrees. |
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Definition
| An angle that adds to a given angle to make 90 degrees. |
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Definition
| Angles whose values add to be 180 degrees. |
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Term
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Definition
| An angle that adds to a given angle to make 180 degrees. |
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