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Unit 1 guide
Vocabulary chapter 1
| Term | Definition |
|---|---|
| Undefined terms | The "slope" of a vertical line |
| Point | The geometric figure formed at the intersection of two distinct lines. |
| Line | It is represented by a line with two arrowheads, but it extends without end. Through any two points, there is exactly one line. You can use any two points on a line to name it. |
| Plane | A flat surface extending in all directions |
| Collinear points | Points lying on the same line. |
| Coplanar points | A set of points, lines, line segments, rays or any other geometrical shapes that lie on the same plane are said to be Coplanar. |
| Theorem | A rule that can be proven |
| Line segment | All points between two given points (including the given points themselves). |
| Endpoints | It's one of the ways you find the midpoint |
| Ray | A part of a line starting at a particular point and extending infinitely in one direction |
| Opposite rays | 2 lines going in 2 different ways |
| Intersection | When 2 lines touch |
| Axiom | A rule that is accepted without proof |
| Coordinate | The real number that corresponds to a point |
| Formula | An expression used to calculate a desired result |
| Between | When three points are collinear, you can say that one point is between the other two |
| Congruent segments | Line segments that have the same length |
| Midpoint | The point that divides a segment into two congruent segments |
| Segment bisector | A point, ray, line, line segment or plane that intersects the segment at its midpoint |
| Distance | The absolute value of the difference between points A and B |
| Slope | The slope of a nonvertical line is the ratio of vertical change (rise) to horizontal change (run) between any two points on the line. |
| Slope intercept form. What does m and b represent. | Linear equations may be written in different forms. The general form of a linear equation in slope-intercept form is y 5 mx 1 b, where m is the slope and b is the y-intercept. |
| Point slope form. Which us the point and which is the slope | |
| Standard form. What are the two rules for standard form | Another form of a linear equation is standard form. In standard form, the equation is written as Ax 1 By 5 C, where A and B are not both zero. |
| Image | transformation moves or changes a figure in some way to produce a new figure called an image |
| Preimage | Another name for the original figure is the preimage. |
| Isometry | An isometry is a transformation that preserves length and angle measure. Isometry is another word for congruence transformation |
| Vector | A vector is a quantity that has both direction andmagnitude, or size. A vector is represented in the coordinate plane by an arrow drawn from one point to another. |
| Initial point | The initial point, or starting point |
| Terminal point | terminal point, or ending point |
| Component form | The component form of a vector combines the horizontal and vertical components. |
| Translation | translation moves every point of a figure the same distance in the same direction. |
| Matrix | matrix is a rectangular arrangement of numbers in rows and columns |
| Element | Each number in a matrix is called an element |
| Line of reflection | a reflection is a transformation that uses a line like a mirror to reflect an image. The mirror line is called the line of reflection. |
| Reflection | A reflection uses a line of reflection to create a mirror image of the original figure |
| Center of rotation | rotation is a transformation in which a figure is turned about a fixed point called the center of rotation |
| Angle of rotation | Rays drawn from the center of rotation to a point and its image form the angle of rotation. |
| Rotation | A rotation turns a figure about a fixed point, called the center of rotation. |
| Line symmetry | A figure in the plane has line symmetry if the figure can be mapped onto itself by a reflection in a line. |
| Line of symmetry | This line of reflection is a line of symmetry, such as line m at the right. A figure can have more than one line of symmetry. |
| Rotational symmetry | figure in a plane has rotational symmetry if the figure can be mapped onto itself by a rotation of 1808 or less about the center of the figure. |
| Center of symmetry | This point is the center of symmetry. Note that the rotation can be either clockwise or counterclockwise. |
| Glide reflection | A glide reflection is a transformation in which every point P is mapped to a point P0 |
| Compositions of transformations | When two or more transformations are combined to form a single transformation, the result is a composition of transformations. |
| Scalar multiplication | Scalar multiplication is the process of multiplying each element of a matrix by a real number or scalar. |
| Dilation | dilation is a transformation that stretches or shrinks a figure to create a similar figure. A dilation is a type of similarity transformation. |
| Reduction | If 0 < k < 1, the dilation is a reduction |
| Engagement | If k > 1, the dilation is an enlargement. |
Created by:
geoEthan
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