#### Study sets matching "honors geometry"

#### Study sets matching "honors geometry"

Ray

Line segment

Line

3d

A part of a line, with one endpoint, that continues without en…

A part of a line with two endpoints

A straight path that goes without end in two directions.

having height, width, and depth

Ray

A part of a line, with one endpoint, that continues without en…

Line segment

A part of a line with two endpoints

Inductive reasoning

conjecture

counterexample

point

reasoning based on patterns you observe

conclusion you reach using inductive reasoning

example for which the conjecture is incorrect

location

Inductive reasoning

reasoning based on patterns you observe

conjecture

conclusion you reach using inductive reasoning

Incenter

Orthocenter

Midpoint Formula

Centroid/Medians

The point of concurrency of the three angle bisectors

The perpendicular segment from vertex of a triangle to the opp…

A segment from vertex to midpoint. (steps: midpoint, slope, eq…

Incenter

The point of concurrency of the three angle bisectors

Orthocenter

The perpendicular segment from vertex of a triangle to the opp…

Perpendicular Lines

Linear Pair Theorem

Linear Pair Postulate

Angle Bisector

Lines that intersect to form right angles

If two angles form a linear pair then they are supplementary

If two angles form a linear pair then the sum of their measure…

A ray that divides an angle into two congruent angles

Perpendicular Lines

Lines that intersect to form right angles

Linear Pair Theorem

If two angles form a linear pair then they are supplementary

Parallel Lines

Skew Lines

Parallel Planes

If two parallel planes are cut by a thi…

COPLANAR lines that do not intersect

NON coplanar lines that to not intersect (think left/right and…

Planes that do not intersect (Think floor and ceiling)

If planes X and Y are parallel, then their lines of intersecti…

Parallel Lines

COPLANAR lines that do not intersect

Skew Lines

NON coplanar lines that to not intersect (think left/right and…

Kite

Trapezoid

Isosceles trapezoid

Rhombus

A 4-sided flat shape with straight sides that has two pairs of…

A trapezoid is a 4-sided flat shape with straight sides that h…

the sides that aren't parallel are equal in length and both an…

a four-sided shape where all sides have equal length; opposite…

Kite

A 4-sided flat shape with straight sides that has two pairs of…

Trapezoid

A trapezoid is a 4-sided flat shape with straight sides that h…

Point

Line

Plane

Collinear

Undefined. No size, thickness, represents location, all other…

Undefined term. No thickness, goes on forever in opposite dire…

Undefined term. No thickness. Flat surface that extends infini…

points all in one line

Point

Undefined. No size, thickness, represents location, all other…

Line

Undefined term. No thickness, goes on forever in opposite dire…

Segment Addition Postulate

Protractor Postulate

An angle can be named in 4 ways

Angle Addition Postulate

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

To find the measure in degrees of an angle, compute the absolu…

For example : <abc ... 1. <1( if it has a number label)... 2. <b... 3.…

If point b lies in the interior of < AOC then m<AOB+m<BOC =m<A…

Segment Addition Postulate

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

Protractor Postulate

To find the measure in degrees of an angle, compute the absolu…

Polygon

side of a polygon

vertex of a polygon

convex polygon

a closed plane with three or more line segments

each line segment that forms a polygon

each endpoint of a side of a polygon

a polygon such that no line containing a side of the polygon c…

Polygon

a closed plane with three or more line segments

side of a polygon

each line segment that forms a polygon

Polygon

Net

Point

Line

a two d figure with 3 or more sides where each side meters (en…

a two d diagram of a 3 d figure, show all surfaces in one view

something that has a location but not an extension, where two…

a continuous extent of length, without breadth or thickness

Polygon

a two d figure with 3 or more sides where each side meters (en…

Net

a two d diagram of a 3 d figure, show all surfaces in one view

the point that is equidistant from the…

coplanar lines that have a point in com…

the point of concurrency of the angle b…

the point of intersection of the median…

circumcenter

concurrent lines

incenter

centroid

the point that is equidistant from the…

circumcenter

coplanar lines that have a point in com…

concurrent lines

Midpoint

Colinear

Acute

Obtuse

A point that divides a segment into two congruent parts

Three or more points on the same line

An angle that is less than a right angle

An angle that is more than a right angle but less than a strai…

Midpoint

A point that divides a segment into two congruent parts

Colinear

Three or more points on the same line

Definition of Congruent Triangles

C.P.C.T.C

SSS Postulate

SAS Postulate

2 triangles are congruent if and only if their corresponding p…

Corresponding parts of congruent triangles are congruent. ( De…

If 3 sides of one triangle are congruent to 3 sides of another…

If 2 sides and the included angle of 1 triangle are congruent…

Definition of Congruent Triangles

2 triangles are congruent if and only if their corresponding p…

C.P.C.T.C

Corresponding parts of congruent triangles are congruent. ( De…

inductive reasoning

conjecture

conditional

counterexample

reasoning based on patterns you observe

a conclusion you reach using inductive reasoning

if p then q

example that proves that a conclusion is not true

inductive reasoning

reasoning based on patterns you observe

conjecture

a conclusion you reach using inductive reasoning

Point

Line

Line segment

Ray

1. has no dimension... 2. represented by a dot... 3. named using one…

1. extends forever in one dimension... 2. has an arrowhead on eac…

1. part of a line that has 2 endpoints... 2. named by its endpoin…

1. part of a line with only one endpoint (initial point) and c…

Point

1. has no dimension... 2. represented by a dot... 3. named using one…

Line

1. extends forever in one dimension... 2. has an arrowhead on eac…

vertical angles

supplementary angles

complementary angles

vertical angles theorem

two angles whose sides form opposite rays

angles that add to 180

angles that add to 90

If 2 angles are vertical angles, then they are congruent

vertical angles

two angles whose sides form opposite rays

supplementary angles

angles that add to 180

Perpendicular Bisector

Angle Bisector

Midline

Altitude

A ray, line or segment that is perpendicular to a segment at i…

A ray, line or line segment that bisects an angle (cuts the an…

Segment that connects the midpoints of two sides of a triangle.

The segment connecting a vertex of a triangle drawn perpendicu…

Perpendicular Bisector

A ray, line or segment that is perpendicular to a segment at i…

Angle Bisector

A ray, line or line segment that bisects an angle (cuts the an…

conditional statement

hypothesis

conclusion

converse

This has 2 parts, a hypothesis and a conclusion.

The "if" part of a conditional statement

The "then" part of a conditional statement.

This is formed when you switch the hypothesis and conclusion o…

conditional statement

This has 2 parts, a hypothesis and a conclusion.

hypothesis

The "if" part of a conditional statement

parallelogram

rhombus

rectangle

square

quadrilateral with both pairs of opposite sides parallel

parallelogram with four congruent sides

parallelogram with four right angles

parallelogram with four congruent sides and four congruent ang…

parallelogram

quadrilateral with both pairs of opposite sides parallel

rhombus

parallelogram with four congruent sides

parallelogram

A rhombus is a quadrilateral with

A rectangle is a quadrilateral with

A square is a quadrilateral with

opposite sides and angles are congruent. Diagonals of a parall…

4 congruent sides. Therefore is a parallelogram

4 right angles. Therefore is a parallelogram

4 right angles and 4 congruent sides

parallelogram

opposite sides and angles are congruent. Diagonals of a parall…

A rhombus is a quadrilateral with

4 congruent sides. Therefore is a parallelogram

acute angle

adjacent angle

angle

angle bisector

an angle that has a measure greater than 0 but less than 90 de…

angles that are next to each other. they share one ray and the…

a set of points consisting of two different rays that have the…

a ray that divides an angle into two angles that are congruent

acute angle

an angle that has a measure greater than 0 but less than 90 de…

adjacent angle

angles that are next to each other. they share one ray and the…

Point

Line

Plane

Space

gives a location... undefined... dot

continuous... straight... infinite number of points... undefined

undefined... infinite... flat surface... 3 points to determine plane (n…

set of all points

Point

gives a location... undefined... dot

Line

continuous... straight... infinite number of points... undefined

What are the 3 undefined terms in Geome…

4 points are coplanar. (A, S, N)

A line is made up of __________.

2 lines can be equal. (A, S, N)

Point, Line, Plane

Sometimes

Points

Never

What are the 3 undefined terms in Geome…

Point, Line, Plane

4 points are coplanar. (A, S, N)

Sometimes