# Study sets matching "geometry pre ap 10"

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

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…

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)

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

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

Central Angles

Inscribed Angles

Angle on the inside

Angle on the outside

Angle=arc

angle= 1/2 arc

angle=arc+arc... -----------... 2

angle= arc-arc... ----------... 2

Central Angles

Angle=arc

Inscribed Angles

angle= 1/2 arc

complementary angles

supplementary angles

axiom/postulate

concave

two or more angles that add up to 90°

two or more angles that add up to 180°

a statement that is regarded as being true

to cave inwards

complementary angles

two or more angles that add up to 90°

supplementary angles

two or more angles that add up to 180°

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,…

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

Geometric Mean

Pythagorean theorem

Special Right Triangles

Trigonometry

For two positive numbers a and b, the geometric mean is the po…

a

**2+b**2=c*245

**, 45**, 90*?/x,x, x(to the square root of 2)... 30**, 60**, 90*/x…SOH, CAH, TOA

Geometric Mean

For two positive numbers a and b, the geometric mean is the po…

Pythagorean theorem

a

**2+b**2=c*2Radius

Chord

Diameter

Circumference

A segment with endpoints that are at the center and on the cir…

A segment with endpoints on the circle.

A chord that passes through the circle's center and made up of…

Distance around the circle.

Radius

A segment with endpoints that are at the center and on the cir…

Chord

A segment with endpoints on the circle.

Circle

Interior

Exterior

Chord

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

The points inside the circle

The points outside the circle

A segment whose endpoints are on the circle

Circle

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

Interior

The points inside the circle

Segment Addition Postulate

Angle Addition Postulate

Linear Pair Theorem

Vertical Angles Theorem

If b is between a and c, then ab + bc = ac.

If s is in the interior of angle PQR, then the measure of angl…

If two angles form a linear pair, then they are supplementary.

Vertical angles are congruent.

Segment Addition Postulate

If b is between a and c, then ab + bc = ac.

Angle Addition Postulate

If s is in the interior of angle PQR, then the measure of angl…

if two lines intersect, then they inter…

through a line and a point not in the l…

if two lines intersect, then exactly on…

if M is the midpoint of line AB, then A…

point

plane

plane

Midpoint Theorem

if two lines intersect, then they inter…

point

through a line and a point not in the l…

plane

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…

Base Angle

Bases

Isosceles trapezoid

Kite

2 angles within an isosceles triangle that are congruent

The surface a solid object stands or/the bottom line of a shap…

a trapezoid with congruent nonpararllel sides

quadrilateral whose four sides can be grouped into two pairs o…

Base Angle

2 angles within an isosceles triangle that are congruent

Bases

The surface a solid object stands or/the bottom line of a shap…

Adjacent arcs

Arc

Arc length

Center

Arcs in a circle that have exactly one point in common

A part of a circle that is defined by two endpoints

The distance between the end points along an arc measured in l…

A given point

Adjacent arcs

Arcs in a circle that have exactly one point in common

Arc

A part of a circle that is defined by two endpoints

In the same or congruent circles, two m…

In a circle, if the diameter is perpend…

If one chord is a perpendicular bisecto…

In a circle or in congruent circles, tw…

Their correspnoding chords are congruent

It bisects the chord and it's arc

The first chord is a diameter

They are equidistant from the center

In the same or congruent circles, two m…

Their correspnoding chords are congruent

In a circle, if the diameter is perpend…

It bisects the chord and it's arc

Concentric Circle

Chord

Radius

Diameter

Coplanar circles that have the same center.

Segment with endpoints on the circle.

Segment with endpoints in the center. r= d/2

Chord that passes through the center. d= 2r

Concentric Circle

Coplanar circles that have the same center.

Chord

Segment with endpoints on the circle.

Tangent

Secant

Central angle

Inscribed angle

intersects a circle in only 1 place.

intersects a circle in 2 places.

is equal to its intercepted arc.

is equal to ½ its intercepted arc.

Tangent

intersects a circle in only 1 place.

Secant

intersects a circle in 2 places.

Proofs

Given

Prove

Reflexive

A logical statement helping to prove an idea being backed by a…

The information given to help you prove a statement (the "if"…

What you are asked to show using the given(s) the reason (the…

Everything is equal to itself... ex: a=a

Proofs

A logical statement helping to prove an idea being backed by a…

Given

The information given to help you prove a statement (the "if"…

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…