## Geometry-Classe Memory Work Chapters 1-3

##### Created by:

acrowl  on October 13, 2010

DASH of 2013

Pop out
No Messages

# Geometry-Classe Memory Work Chapters 1-3

 Segment Addition PostulateIf B is between A and C, then AB + BC = AC.
1/38
Preview our new flashcards mode!

Order by

#### Definitions

Segment Addition Postulate If B is between A and C, then AB + BC = AC.
Angle Addition Postulate If point B lies in the interior of angle AOC, then the measure of angle AOB + the measure of angle BOC = the measure of angle AOC. If angle AOC is a straight angle and B is any point not on ray AC, then the measures of AOB + the measure of BOC = 180.
Postulate 5 A line that contains at least 2 points; a plane contains at least 3 points not all in 1 line; space contains at least 4 points not all in 1 plane.
Postulate 6 Through any 2 points there is exactly 1 line.
Postulate 7 Through any points there is at least 1 plane, and through any 3 noncollinear points there is exactly 1 plane.
Postulate 8 If 2 points are in a plane, then the line that contains the points is in that plane.
Postulate 9 If 2 planes intersect, then their intersection is a line.
Postulate 10 If 2 parallel lines are cut by a transversal, then the corresponding angles are congruent.
Postulate 11 If 2 parallel lines are cut by a transversal, then the corresponding angles are congruent, then the lines are parallel.
1-1 If 2 lines intersect, then they intersect in exactly 1 point.
1-2 Through a line and a point not in the line there is exactly 1 plane.
1-3 If 2 lines intersect, then exactly one plane contains the lines.
Midpoint Theorem If M is the midpoint of line segment AB, then AM = 1/2 of AB and MB = 1/2 of AB.
Angle Bisector Theorem If ray BX is the bisector of angle ABC, then the measure of angle ABX = 1/2 the measure of angle ABC and measure XBC = 1/2 the measure of angle ABC.
2-3 Vertical angles are congruent.
2-4 If 2 lines are perpendicular, then they form congruent adjacent angles.
2-5 If 2 lines form congruent adjacent angles, then the lines are perpendicular.
2-6 If the exterior sides of 2 adjacent acute angles are perpendicular, then the angles are complementary.
2-7 If 2 angles are supplements of congruent angles (or of the same angle), then the 2 angles are congruent.
2-8 If 2 angles are complements of congruent angles (or of the same angle), then the 2 angles are congruent.
3-1 If 2 parallel planes are cut by a 3 plane, then the lines of intersection are parallel.
3-2 If 2 parallel lines are cut by a transversal, then alt. int. angles are congruent.
3-3 If 2 parallel lines are cut by a transversal, then same-side int. angles are supplementary.
3-4 If a transversal is perpendicular to 1 of 2 parallel lines, then it is perpendicular to the other 1 also.
3-5 If 2 lines are cut by a transversal and alt. int .angles are congruent, then the lines are parallel.
3-6 If 2 lines are cut by a transversal and same-side int. angles are supp., then the lines are parallel.
3-7 In a plane 2 lines perpendicular to the same line are parallel.
3-8 Through a point outside a line, there is exactly 1 line parallel to the given line.
3-9 Through a point outside a line, there is exactly 1 line perpendicular to the given line.
3-10 2 lines parallel to a 3rd line are parallel to each other.
3-11 The sum of the measures of the angles of a triangle is 180.
Corollary 1 (3-11) If 2 angles of one triangle are congruent to 2 angles of another triangle, then the 3rd angles are congruent.
Corollary 2 (3-11) Each angle of an equiangular triangle has measure 60.
Corollary 3 (3-11) In a triangle, there can be at most 1 right angle or obtuse angle.
Corollary 4 (3-11) The acute angles of a right angle are complementary.
3-12 The measure of an exterior angle of a triangle equals the sum of the measures of the 2 remote int. angles.
3-13 The sum of the measures of the angles of a convex polygon with (n) sides is (n - 2)180.
3-14 The sum of the measures of the exterior angles of any convex polygon, one angle at each vertex, is 360.

### First Time Here?

Welcome to Quizlet, a fun, free place to study. Try these flashcards, find others to study, or make your own.

### Set Champions

##### Scatter Champion

74.9 secs by aschmitz13