9th Grade Honors Geometry MidTerms Study Guide

19 terms by arcade777 

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Contains all definitions, properties, postulates, theorems, and corollaries in Units 1, 2, 3, 4, 5, and 6.

Space

The set of all points.

Collinear Points

Points all in one line.

Coplanar Points

Points all in one plane.

Intersection (of 2 Figures)

The set of points that are in both figures.

Line Segment

A part of a line that is bounded by two endpoints, and contains every point on the line between its endpoints.

Ray

A part of a line which is finite in one direction, but infinite in the other.

Opposite Rays

Ray SR and ray ST are called ________ ____ if S is between R and T.

Postulate

An assumption used as a basis for mathematical reasoning; axiom

Ruler Postulate (Postulate 1)

1) The points on a line can be paired with the real numbers in such a way that any two points can have the coordinates 0 and 1. 2) Once a coordinate system has been chosen in this way, the distance between any two points equals the absolute value of the difference of their coordinates.

Segment Addition Postulate (Postulate 2)

If B is between A and C, then AB + BC = AC.

Congruent

In geometry, two objects that have the same size and shape are called _________.

Midpoint

The ________ of a segment is the point that divides the segment into two congruent segments.

Bisector

A ________ of a segment is a line, segment, ray, or plane that intersects the segment at its midpoint.

Angle (∠)

An _____ is the figure formed by two rays that have the same endpoint.

Acute Angle

An angle with a measure that is between 0 and 90.

Right Angle

An angle with a measure that is equal to 90.

Obtuse Angle

An angle with a measure that is between 90 and 180.

Straight Anglw

An angle with a measure that is equal to 180.

Protractor Postulate (Postulate 3)

On line AB in a given plane, choose any point O between A and B. Consider ray OA and ray OB and all the rays that can be drawn from O on one side of line AB. These rays can be paired with the reals numbers from 0 to 180 in such a way that: a) Ray OA is paired with 0, and ray OB with 180. b) If ray OP is paired with x, and ray OW with y, then m∠POQ = |x-y|.

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