geometry definitions review

here's all the definitions from the year...hope it helps

Geometry Review Sheet

Chapter 1
Points, lines, and planes are all undefined
Coordinate: The number associated with a point on a line
Distance: The distance between 2 points is the absolute value of the distance between their coordinates
Between: Given 3 points on a line, A, B, and C; B is between A and C iff the coordinate of B is between the coordinates of A and B
Line Segment: Given points A and B with A not equal to B, the line segment AB is the points A and B together with all the points b/w A and B
Length: the length of segment AB is the distance from A to B. This is denoted AB
Ray: Given pts A and B, the ray from A through B is the set of all pts on the line segment AB, together with all points X on the line AB so that B is between A and X
Opposite Ray: Given ray AB, the ray opposite to ray AB is ray AC where C is on line AB and C is not on ray AB
Congruent: Same size and shape
Segment Congruence: 2 segments are congruent if they have the same length
Midpoint: X is the midpoint of segment AB if
1) X is between A and B
2) AX=AB
Segment Bisector: Something is said to be a bisector of a segment if its intersection with the segment is the midpt of the segment
Angle: An angle is 2 rays that have the same vertex
Angle Congruence: 2 angles are congruent if they have the same measure
Angle Bisector: Given angle XYZ, ray YQ bisects angle XYQ is congruent QYZ and Q is inside angle XYZ
Adjacent Angles: 2 angles are adjacent if they share a side and they are coplanar

Chapter 2
Original: If p, then q
Converse: If q, then p
Inverse: If not p, then not q
Contrapositive: If not q, then not p
Supplementary: 2 angles are supplementary if their measures add to 180
Complementary: 2 angles are supplementary if their measures add to 90
Vertical Angles: 2 angles are vertical if they are not straight, they share a vertex, and the union of the angles forms 2 lines – every angle can have only one vertical angle
Perpendicular: the lines l and m are perpendicular iff the 4 angles formed by the intersection of l and m are right angles
Perpendicular (not for lines): 2 rays, segments, or lines are perpendicular iff they determine lines that are perpendicular

Chapter 3
Triangle: Given 3 noncolinear pts., the 3 segments determined by these pts. form a triangle
Exterior Angle: An angle is exterior to a triangle iff it is both adjacent and supplementary to an interior angle of the triangle
Remote Interior Angles: Given an exterior angle of a triangle, its remote interior angles are the interior angles of the triangle that it is not adjacent to
Polygon: Given different points P1,...PN, the segments P1P2, P2P3, ... ,PN-1PN, PNP1 form the polygon P1P2...PN iff
1) no 2 segments intersect anywhere other than their endpoints
2) the segments are all coplanar
3) no 2 consecutive segments are collinear
Convex: A polygon is convex iff segment AB is a side of the polygon, then all of the other vertices are on the same side of line AB
Regular Polygon: A convex polygon is regular iff all the sides and all the angles are congruent
Diagonal: A diagonal of a polygon is a line segment from one vertex to another tht is not a side

Chapter 4
Triangle Congruence: 2 triangles are congruent iff there is a correspondence of the vertices so that corresponding sides and angles are congruent
Polygon Congruence: 2 polygons are congruent iff there is a correspondence of the vertices so that corresponding angles are congruent
Median: A median of a triangle is a line segment where 1 endpoint is a vertex of the triangle, an the other endpoint is the midpoint of the side opposite that vertex
Altitude: An altitude of a triangle is a line segment with one endpoint that is a vertex of the triangle and the segment is perpendicular to the line containing the segment opposite that vertex
Perpendicular Bisector: the perpendicular bisector of a segment in a plane is the line that is perpendicular to the segment at its midpoint
Distance (from a point to a line): The distance from a point to a line is the length of the segment from that point to the line that is perpendicular to the line

Chapter 5
Parallelogram: a parallelogram (||-ogram) is a quadrilateral where both pairs of a opposite sides are ||
Rectangle: A quadrilateral whose angles are all right
Rhombus: a quadrilateral with all 4 sides congruent to each other
Square: A rectangle is a rhombus
(Note: I’m not sure if the previous 3 are official definitions, so be careful using them)
Kite: A kite is a quadrilateral in which there are 2 pairs of consecutive congruent sides
Trapezoid: A trapezoid is a quadrilateral in which exactly on pair of sides is ||
Isosceles Trapezoid: An isosceles trapezoid is a trapezoid in which the legs are congruent
Median of a Trapezoid: the segment that connects the midpoint of the legs of a trapezoid is called the median

Chapter 6 – no definitions

thanks much

There is one problem becuse for rectangle and rhombus its not quadrilateral its parallelogram

thanks spence. We'll egg another house for this

VERY NICE!!!

Yeah but if you look at it Josh, it could be either because a rectangle is a ||-ogram by C-OAPC and a rhombus is a ||-ogram by C-OSPC, so you can say either

Josh, I think you may have been owned on that one

wow. you are organized. by the way, I put up the true/false
https://formvreview.forumotion.com/geometry-f2/andrews-matoka-geometry-review-t32.htm#294

Spence, I would thank you if it weren't for that darned picture in the corner.

thanks spence even with that avatar

I think josh ought to think about resizing his avatar or something

i agree