#### 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 e…

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 e…

Line segment

A part of a line with two endpoints

Parallel Lines

Skew Lines

Parallel Planes

If two parallel planes are cut by a th…

COPLANAR lines that do not intersect

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

Planes that do not intersect (Think floor and ceiling)

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

Parallel Lines

COPLANAR lines that do not intersect

Skew Lines

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

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 measur…

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

Point

Line

Plane

Collinear

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

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

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

points all in one line

Point

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

Line

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

Kite

Trapezoid

Isosceles trapezoid

Rhombus

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

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

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

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

Kite

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

Trapezoid

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

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 absol…

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<…

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 absol…

scalene

isosceles

47º

78º

Find the measures of the sides of ∆ABC and classify the trian…

Find the measures of the sides of KPL and classify the triang…

m∠1=?

m∠2=?

scalene

Find the measures of the sides of ∆ABC and classify the trian…

isosceles

Find the measures of the sides of KPL and classify the triang…

Polygon

Net

Point

Line

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

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 (e…

Net

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

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 op…

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

Incenter

The point of concurrency of the three angle bisectors

Orthocenter

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

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…

Polygon

a closed plane with three or more line segments

side of a polygon

each line segment that forms a polygon

Perpendicular Bisector

Angle Bisector

Midline

Altitude

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

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

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

The segment connecting a vertex of a triangle drawn perpendic…

Perpendicular Bisector

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

Angle Bisector

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

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

Point

Line

Line segment

Ray

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

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

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

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

Point

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

Line

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

the point that is equidistant from the…

coplanar lines that have a point in co…

the point of concurrency of the angle…

the point of intersection of the media…

circumcenter

concurrent lines

incenter

centroid

the point that is equidistant from the…

circumcenter

coplanar lines that have a point in co…

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 stra…

Midpoint

A point that divides a segment into two congruent parts

Colinear

Three or more points on the same line

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

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

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 an…

parallelogram

quadrilateral with both pairs of opposite sides parallel

rhombus

parallelogram with four congruent sides

Definition of Congruent Triangles

C.P.C.T.C

SSS Postulate

SAS Postulate

2 triangles are congruent if and only if their corresponding…

Corresponding parts of congruent triangles are congruent. ( D…

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

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…

C.P.C.T.C

Corresponding parts of congruent triangles are congruent. ( D…

line segment

ray

plane

line

Part of a line consisting of two points and all the points be…

The part of a line that starts at an end point and extends fo…

Flat surface that has no thickness and extends forever. Name:…

Straight path that has no thickness and extends forever. Name…

line segment

Part of a line consisting of two points and all the points be…

ray

The part of a line that starts at an end point and extends fo…

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…

conditional statement

This has 2 parts, a hypothesis and a conclusion.

hypothesis

The "if" part of a conditional statement

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 (…

set of all points

Point

gives a location... undefined... dot

Line

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

acute angle

adjacent angle

angle

angle bisector

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

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

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

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 d…

adjacent angle

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

Transformation

Translations

Reflections

Rotations

The operation that moves a pre-image onto an image

A transformation that slides an object

A transformation that flips an object

A transformation that turns an object

Transformation

The operation that moves a pre-image onto an image

Translations

A transformation that slides an object

Parallel

Skew

Transversal

Corresponding

Lines that do not intersect

Lines that do not intersect and are not coplanar

A line that intersect a set of parallel lines

A pair of angles that are in the "same spot" and do not touch…

Parallel

Lines that do not intersect

Skew

Lines that do not intersect and are not coplanar

Acute

Obtuse

Equilateral

Equiangular

A triangle that has 3 angles less than 90 degrees

A triangle that has 1 angle more than 90 degrees

A triangle that has 3 sides congruent

A triangle that has 3 angles congruent

Acute

A triangle that has 3 angles less than 90 degrees

Obtuse

A triangle that has 1 angle more than 90 degrees

Right Angle Congruence Theorem

Vertical Angles Theorem

Congruent Supplements Theorem

Congruent Complements Theorem

If 2 angles are right angles, then they are congruent

If 2 angles are vertical angles, then they are congruent

If 2 angles are supplementary to the same angle or congruent…

If 2 angles are complementary to the same angle or congruent…

Right Angle Congruence Theorem

If 2 angles are right angles, then they are congruent

Vertical Angles Theorem

If 2 angles are vertical angles, then they are congruent

Midsegment

Midsegment Theorem

Perpendicular Bisector

Midsegment Equation

segment that connects 2 midpoints of a triangle

midsegment is 1/2 the length AND parallel to the opposite side

line, ray, or segment that goes through midpoint AND forms 90…

Midseg= 1/2(opposite side)

Midsegment

segment that connects 2 midpoints of a triangle

Midsegment Theorem

midsegment is 1/2 the length AND parallel to the opposite side

Triangle Sum Theorem

Exterior Angle Theorem

Isosceles Triangle Theorem

Converse of Isosceles Triangle Theorem

The sum of the angle measures of a triangle is 180 degrees.

The measure of an exterior angle of a triangle is equal to th…

If 2 sides of a triangle are congruent, then the angles oppos…

If 2 angles of a triangle are congruent, then the sides oppos…

Triangle Sum Theorem

The sum of the angle measures of a triangle is 180 degrees.

Exterior Angle Theorem

The measure of an exterior angle of a triangle is equal to th…

Perpendicular

4 Right Angles

Complementary

Then it's perpendicular to the other

If two lines intersect to form a linear pair of congruent ang…

If two lines are perpendicular then they intersect to form __…

If two sides of two adjacent acute angles are perpendicular t…

If a transversal is perpendicular to one of two parallel ____…

Perpendicular

If two lines intersect to form a linear pair of congruent ang…

4 Right Angles

If two lines are perpendicular then they intersect to form __…

Altitude

Angle Bisector Theorem

Perpendicular Bisector Theorem

Median

In a triangle, a segment from a vertex of the triangle to the…

If a point is on the bisector of an angle, then it is equidis…

If a point is on the perpendicular bisector of a segment, the…

In a triangle, a line segment with endpoints that are the ver…

Altitude

In a triangle, a segment from a vertex of the triangle to the…

Angle Bisector Theorem

If a point is on the bisector of an angle, then it is equidis…

Congruent/Congruent segment

Congruent Angles

Right Angles

Parallel lines

Lines that are the same length

Angles that are the same size

An angle that is measured to be 90°

A pair of lines that will never intersect with each other

Congruent/Congruent segment

Lines that are the same length

Congruent Angles

Angles that are the same size

Betweenness of points theorem

Betweenness of rays theorem

Complements of the same angle

Supplements of the same angle

A-B-C, then AB+BC=AC

OA-OB-OC, then <AOB+<BOC=<AOC

are equal

are equal

Betweenness of points theorem

A-B-C, then AB+BC=AC

Betweenness of rays theorem

OA-OB-OC, then <AOB+<BOC=<AOC

Segment Addition Postulate

Ruler Postulate

Reflexive Property

Symmetric Property

If a point B lies on a line segment , then . That is, the dis…

on a number line, every point can be paired with a number and…

A quantity is congruent (equal) to itself. a = a

If a = b, then b = a

Segment Addition Postulate

If a point B lies on a line segment , then . That is, the dis…

Ruler Postulate

on a number line, every point can be paired with a number and…

acute angle

adjacent angles

altitude

angle bisector

An angle with a measure between 0° and 90°.

Two angles that share a common vertex and side, but have no c…

A segment that originates at the vertex of a triangle and mak…

A segment that divides an angle of a triangle into two equal…

acute angle

An angle with a measure between 0° and 90°.

adjacent angles

Two angles that share a common vertex and side, but have no c…

Triangle

Right Triangle

Obtuse Triangle

Acute Triangle

Any closed figure made by three line segments intersecting at…

When a triangle has one right angle.

When a triangle has one obtuse angle.

When all three angles in the triangle are acute.

Triangle

Any closed figure made by three line segments intersecting at…

Right Triangle

When a triangle has one right angle.

Midpoint

Perpendicular Parallel Theorem

Parallel Parallel Theorem

Corresponding Angles Converse

divides a segment into 2 congruent pieces

if 2 lines are perpendicular to the same line, then they must…

if 2 lines are parallel to the same line, then they are paral…

if 2 lines are cut by a transversal, so that a pair of corr.…

Midpoint

divides a segment into 2 congruent pieces

Perpendicular Parallel Theorem

if 2 lines are perpendicular to the same line, then they must…

Supplementary Angles

Linear Pair

Adjacent Angles

Vertical Angles

Two angles are supplementary iff they add up to 180 degrees

A pair of adjacent angles is a linear pair iff the angles are…

Angles are Adjacent iff they share a common ray (are next to…

Angles are vertical iff they are opposite each other when two…

Supplementary Angles

Two angles are supplementary iff they add up to 180 degrees

Linear Pair

A pair of adjacent angles is a linear pair iff the angles are…