# Study sets matching "honors geometry"

Study sets

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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…

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…

point

line

postulate

axiom

an exact location in space

a set of points that extend infinetly in both directions

something accepted as true without proof; an axiom

Self-evident truth requiring no proof; universally or generall…

point

an exact location in space

line

a set of points that extend infinetly in both directions

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

Plane

Collinear Points

a location; has no size

a straight path that extends in two opposite directions withou…

a flat surface that extends without end and has no thickness;…

points that lie on the same line

Point

a location; has no size

Line

a straight path that extends in two opposite directions withou…

Collinear

Linear Pair

Supplementary angles

Complementary angles

Points that lie on the same line

A pair of adjacent angles whose noncommon sides are opposite r…

Two angles whose sum is 180 degrees

Two angles whose sum is 90 degrees

Collinear

Points that lie on the same line

Linear Pair

A pair of adjacent angles whose noncommon sides are opposite r…

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…

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…

(definition) circle

(definition) center

(definition) radius

(definition) concentric circles

the set of all points in a plane that are a given distance fro…

the given point that the set of all points are a given distanc…

the given distance from the set of all points in a plane to th…

two or more coplanar circles with the same center

(definition) circle

the set of all points in a plane that are a given distance fro…

(definition) center

the given point that the set of all points are a given distanc…

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

alternate exterior angles

alternate interior angles

consecutive interior angles

corresponding angles

Two angles that are formed by two lines and a transversal that…

Two angles that are formed by two lines and a transversal that…

Two angles that are formed by two lines and a transversal that…

Two angles that are formed by two lines and a transversal that…

alternate exterior angles

Two angles that are formed by two lines and a transversal that…

alternate interior angles

Two angles that are formed by two lines and a transversal that…

Surface area of pyramids

Volume of Pyramid

Surface area of a cone

Volume of a cone

Find the area of the base (B) and the area of each of the tria…

V=(1/3)Bh

SA=... πr²+πrl

V=... 1/3πr²h

Surface area of pyramids

Find the area of the base (B) and the area of each of the tria…

Volume of Pyramid

V=(1/3)Bh

Two polygons are similar if...

Scale factor

Perimeters of similar polygons theorem

Transformation

their corresponding angles are congruent and their correspondi…

ratio of two corresponding side lengths in similar figures

if two polygons are similar the ratio of the perimeters are th…

An operation that moves or changes a geometric figure in some…

Two polygons are similar if...

their corresponding angles are congruent and their correspondi…

Scale factor

ratio of two corresponding side lengths in similar figures

Bioconditional Statement

Conditional statement

Contrapositive

counterexample

A statement that contains the phrase "if and only... if"... Two lin…

A logical statement that has a hypothesis and a conclusion

The statement formed by negating both the... hypothesis and concl…

A specific case for which a conjecture is false... Conjecture: T…

Bioconditional Statement

A statement that contains the phrase "if and only... if"... Two lin…

Conditional statement

A logical statement that has a hypothesis and a conclusion

Acute angle

Adjacent angles

angle

angle bisector

An angle that has a measure greater than 0 degrees and less th…

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

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 degrees and less th…

Adjacent angles

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

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 a…

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

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

A _____________ is the set of points in…

The given point in a circle is called a…

The given distance from a given point i…

All radii of a circle are _____________…

Circle

Center

Radius

Congruent

A _____________ is the set of points in…

Circle

The given point in a circle is called a…

Center

Inductive reasoning

Deductive reasoning

Conjecture

Counterexample

a type of reasoning that reaches conclusions based on a patter…

a process of reasoning logically from given facts to a conclus…

a conclusion reached by using inductive reasoning; may or may…

an example showing that a statement is false

Inductive reasoning

a type of reasoning that reaches conclusions based on a patter…

Deductive reasoning

a process of reasoning logically from given facts to a conclus…

Point in

Line

Ray

Line Segment

A dot that shows a location or place

A straight path that continues in both directions forever.

A piece of line that starts at one point and infinity in one d…

A portion of a line that has endpoints.

Point in

A dot that shows a location or place

Line

A straight path that continues in both directions forever.

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

line segment

ray

plane

line

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

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

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 bet…

ray

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

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