#### Study sets matching "geometry pre ap 10"

#### 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…

A pair of opposite congruent angles formed by intersecting li…

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

Circle

Center of the Circle

Center of a Regular Polygon

Apothem

Set of all points in a plane that are a fixed distance from a…

Point in middle of circle.

Equidistant from the vertices.

Distance from the center to a side.

Circle

Set of all points in a plane that are a fixed distance from a…

Center of the Circle

Point in middle of circle.

ruler postulate

Segment Addition Postulate (Seg. Add.…

Protractor Postulate

Angle Addition Postulate

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

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 va…

m<AOB + m<BOC = m< AOC

ruler postulate

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

Segment Addition Postulate (Seg. Add.…

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

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 previousl…

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,…

Geometric Mean

Pythagorean theorem

Special Right Triangles

Trigonometry

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

a

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

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

Geometric Mean

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

Pythagorean theorem

a

**2+b**2=c*2Segment 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 ang…

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 ang…

Radius

Chord

Diameter

Circumference

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

A segment with endpoints on the circle.

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

Distance around the circle.

Radius

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

Chord

A segment with endpoints on the circle.

Circle

Interior

Exterior

Chord

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

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 poi…

Interior

The points inside the circle

Central Angle

Minor Arc

Major Arc

Semicircle

An angle whose vertex is at the center.

Part of a circle that is less than 180 degrees.

Part of the circle that is more than 180 degrees, but less th…

180 degrees in a circle.

Central Angle

An angle whose vertex is at the center.

Minor Arc

Part of a circle that is less than 180 degrees.

Proofs

Given

Prove

Reflexive

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

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…

Given

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

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…

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

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 sha…

a trapezoid with congruent nonpararllel sides

quadrilateral whose four sides can be grouped into two pairs…

Base Angle

2 angles within an isosceles triangle that are congruent

Bases

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

Substitution property

Reflexive property

Symmetric property

Transitive property

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

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

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 ex…

Reflexive property

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

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.

In the same or congruent circles, two…

In a circle, if the diameter is perpen…

If one chord is a perpendicular bisect…

In a circle or in congruent circles, t…

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…

Their correspnoding chords are congruent

In a circle, if the diameter is perpen…

It bisects the chord and it's arc

Kite

Trapezoid

Isosceles trapezoid

Parallelograms

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

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

-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 perp…

Trapezoid

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

Corresponding Angles

Same-Side Interior Angles

Alternate Interior Angles

Alternate Exterior Angles

lie on the same side of the transversal and on the same sides…

lie on the same side of the transversal and between the inter…

nonadjacent angles that lie on opposite sides of the transver…

lie on opposite sides the transversal and outside the interse…

Corresponding Angles

lie on the same side of the transversal and on the same sides…

Same-Side Interior Angles

lie on the same side of the transversal and between the inter…

Paralellogram

Rectangle

Square

Rhombus

A four-sided polygon with two pairs of parallel and equal sid…

A parallelogram with 4 right angles.

A rectangle with 4 equal sides.

A parallelogram with 4 equal sides.

Paralellogram

A four-sided polygon with two pairs of parallel and equal sid…

Rectangle

A parallelogram with 4 right angles.

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 conject…

A specific case for which the conjecture is false.

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

Conjecture

An unproven statement that is based on observations.

Inductive Reasoning

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

Point

Plane

Euclidean

Spherical

-An exact position or location on a plane surface... -Labeled wi…

-A flat surface that goes in every direction infinitely... -betw…

-the study of geometry based on definitions, undefined terms…

-the geometry of the two-dimensional surface of a sphere... -cur…

Point

-An exact position or location on a plane surface... -Labeled wi…

Plane

-A flat surface that goes in every direction infinitely... -betw…