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Unit 1 guide

Vocabulary chapter 1

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