# Study sets matching "geometry pre ap 10"

Study sets

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Supplementary Angles

Complementary Angles

Linear Pair

Vertical Angles

Angles that add to 180 degrees.... m<1+m<2=180

Two angles whose sum is 90 degrees.... m<1+m<2=90

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

A pair of opposite congruent angles formed by intersecting lin…

Supplementary Angles

Angles that add to 180 degrees.... m<1+m<2=180

Complementary Angles

Two angles whose sum is 90 degrees.... m<1+m<2=90

Parallel Slope of a line

Perpendicular Slope of a line

Vertical Angles

Conditional Statement

Same Slope

Opposite Reciprocal (opposite sign and flip ratio)

Opposite angles that are congruent

p -> q (logically equivalent to contrapositive)

Parallel Slope of a line

Same Slope

Perpendicular Slope of a line

Opposite Reciprocal (opposite sign and flip ratio)

Quadrilateral

Parallelograms

Parallelogram Properties

Rectangles

a polygon with 4 sides

a quadrilateral with opposite parallel sides

- opposite sides are congruent... - opposite angles are congruent…

a quadrilateral with four right angles

Quadrilateral

a polygon with 4 sides

Parallelograms

a quadrilateral with opposite parallel sides

Corresponding chords

Perpendicular... Diameter

Perpendicular... Arc

Two chords... Equidistant

In the same circle, or in congruent circles, two minor arcs ar…

If one chord is a ______________ bisector of another chord, th…

If a diameter of a circle is ______________ to a chord, then t…

In the same circle, or in congruent circles, ______________ __…

Corresponding chords

In the same circle, or in congruent circles, two minor arcs ar…

Perpendicular... Diameter

If one chord is a ______________ bisector of another chord, th…

Inscribed angle... Vertex... Chords

Intercepted arc... Interior... Endpoints

1/2 the measure of the intercepted arc

The angles are congruent

An ____________ ____________ is an angle whose ____________ is…

An ____________ ____________ is the arc that lies in the _____…

**Theorems for inscribed angles:**... If an angle is inscribed in a…

**Theorems for inscribed angles:**... If two inscribed angles of a…

Inscribed angle... Vertex... Chords

An ____________ ____________ is an angle whose ____________ is…

Intercepted arc... Interior... Endpoints

An ____________ ____________ is the arc that lies in the _____…

arc... Two

central angle... vertex

360°

minor arc... shortest... equal

an _____________ is a measure in degrees between _____________…

a _____________ _____________ is an angle whose _____________…

sum of the central angles of a circle

the _____________ _____________ is the _____________ arc conne…

arc... Two

an _____________ is a measure in degrees between _____________…

central angle... vertex

a _____________ _____________ is an angle whose _____________…

circle... points... equidistant... center

center

circle P or ʘP

interior

A ____________ is the set of all ____________

**in a plane**tha…the point from which all points of a circle are equidistant

If the center of the circle if P, then the circle is denoted by

the points

**inside**the circlecircle... points... equidistant... center

A ____________ is the set of all ____________

**in a plane**tha…center

the point from which all points of a circle are equidistant

congruent

postulate

theorem

acute angle

identical in form; coinciding exactly when superimposed.

consists of a set of theorems, each derived from definitions,…

is a statement that has been proved on the basis of previously…

An angle that measures less than ninety degrees but more than…

congruent

identical in form; coinciding exactly when superimposed.

postulate

consists of a set of theorems, each derived from definitions,…

Area of a rectangle

Area of a parallelogram

Area of a triangle

Area of a trapezoid

The area of a rectangle in the product of its base and height

The area of a parallelogram is the product of a base and corre…

The area of a triangle is half the product of a base and the c…

The area of a trapezoid is half the product of the height and…

Area of a rectangle

The area of a rectangle in the product of its base and height

Area of a parallelogram

The area of a parallelogram is the product of a base and corre…

Central Angle

Minor Arc

Major arc

Semicircle

an angle whose vertex is the center of the circle

the part of the circle measuring less than 180 degrees

The part of the circle measuring between 180 and 360 degrees

an arc with the endpoints that are the endpoints of the diamet…

Central Angle

an angle whose vertex is the center of the circle

Minor Arc

the part of the circle measuring less than 180 degrees

Circle

Center

Radius

Chord

a set of all points in a place that are equidistant from a giv…

the point from which all points of the circle are equidistant

a segment from the center of a circle to any point on the circ…

a segment whose endpoints are on a circle

Circle

a set of all points in a place that are equidistant from a giv…

Center

the point from which all points of the circle are equidistant

Circle

Interior

Chord

Exterior

The set of all points in a plane equidistant from a given poin…

The points inside the circle.

A segment whose endpoints are on the circle.

The points outside the circle.

Circle

The set of all points in a plane equidistant from a given poin…

Interior

The points inside the circle.

circle... points... equidistant... center

center

circle P or ʘP

interior

A ____________ is the set of all ____________

**in a plane**tha…the point from which all points of a circle are equidistant

If the center of the circle if P, then the circle is denoted by

the points

**inside**the circlecircle... points... equidistant... center

A ____________ is the set of all ____________

**in a plane**tha…center

the point from which all points of a circle are equidistant

Perpendicular Bisector

Perpendicular Bisector Theorem

Converse of (the) Perpendicular Bisecto…

Angle bisector

a segment, ray, line, or plane that is perpendicular to a segm…

If a point is on the perpendicular bisector then it is equidis…

If a point is equidistant from the endpoints of a segment then…

a ray that divides an angle into two congruent angles

Perpendicular Bisector

a segment, ray, line, or plane that is perpendicular to a segm…

Perpendicular Bisector Theorem

If a point is on the perpendicular bisector then it is equidis…

Inductive reasoning

Conjecture

Counter example

Truth Value

reasoning using specific examples to arrive to a conclusion (a…

conclusion reached when using Inductive reasoning

a false example that shows a conjecture is not true

whether the statement is true or false

Inductive reasoning

reasoning using specific examples to arrive to a conclusion (a…

Conjecture

conclusion reached when using Inductive reasoning

ruler postulate

Segment Addition Postulate (Seg. Add. P…

Protractor Postulate

Angle Addition Postulate

1.)points must be put on a number line... 2.)the distance between…

if B is between A and C, then AB+BC=AC (page 12 in book)

used to find the measure of an angle... 1.) take the absolute val…

m<AOB + m<BOC = m< AOC

ruler postulate

1.)points must be put on a number line... 2.)the distance between…

Segment Addition Postulate (Seg. Add. P…

if B is between A and C, then AB+BC=AC (page 12 in book)

Congruent Segments

Midpoint

Adjacent angles

Linear pair

segments that are the same size

the point halfway between the endpoints of a segment

two angles with a common vertex and side

adjacent angles that form a line (180 degrees)

Congruent Segments

segments that are the same size

Midpoint

the point halfway between the endpoints of a segment

Conjecture

Inductive Reasoning

Counterexample

Conditional Statement

An unproven statement that is based on observations.

You find a pattern in specific cases and then write a conjectu…

A specific case for which the conjecture is false.

A logical statement that has two parts, a hypothesis and a con…

Conjecture

An unproven statement that is based on observations.

Inductive Reasoning

You find a pattern in specific cases and then write a conjectu…

Inscribed angle

Intercepted arc

Inscribed polygon

Circumscribed circle

an angle is vertex is on the circle and whose sides contains c…

the arc that lies in the interior of an inscribed angle

all of its vertices lie on the circle

a circle that contains a inscribed polygon

Inscribed angle

an angle is vertex is on the circle and whose sides contains c…

Intercepted arc

the arc that lies in the interior of an inscribed angle

Radius

chords

diameter

congruent circles

endpoints at center of circle & on the circle; 1/2(diameter)

segment with both endpoints on the circle

a chord that goes through the middle of the circle; 2(radius)

have congruent radii

Radius

endpoints at center of circle & on the circle; 1/2(diameter)

chords

segment with both endpoints on the circle

Kite

Trapezoid

Isosceles trapezoid

Parallelograms

-two pairs of consecutive congruent sides... -diagonals are perpe…

-one pair of parallel sides (bases)... -midsegment is parallel to…

-one pair of parallel sides (bases)... -two congruent legs... -base…

-opposite sides are congruent... -opposite angles are congruent... -…

Kite

-two pairs of consecutive congruent sides... -diagonals are perpe…

Trapezoid

-one pair of parallel sides (bases)... -midsegment is parallel to…

Postulate

Theorem

Proof

POE

a statement that is accepted without proof. Basic ideas about…

a statement with proof that is accepted as true

a logical argument in which each statement you make is support…

property of congruence

Postulate

a statement that is accepted without proof. Basic ideas about…

Theorem

a statement with proof that is accepted as true

Substitution property

Reflexive property

Symmetric property

Transitive property

If a=b, then a can be substituted for b in any equation or exp…

Is used to prove congruence of geometric figures. This propert…

Property of equality for "a" and "b": if a=b then b=a

If a=b and b=c, then a=c (3 terms)

Substitution property

If a=b, then a can be substituted for b in any equation or exp…

Reflexive property

Is used to prove congruence of geometric figures. This propert…

Parallel lines

Skew lines

Parallel planes

Transversal

two coplaner lines that do not intersect

lines that do not intersect and are not coplaner

two planes that do not intersect

a line that intersects two or more coplaner lines at two diffe…

Parallel lines

two coplaner lines that do not intersect

Skew lines

lines that do not intersect and are not coplaner