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false

true

true

false

If the lengths of the corresponding pairs of sides of two pol…

A line through the midpoints of two sides of a triangle cuts…

The lengths of two corresponding altitudes of similar triangl…

Doubling the lengths of the sides of similar triangles will a…

false

If the lengths of the corresponding pairs of sides of two pol…

true

A line through the midpoints of two sides of a triangle cuts…

central

diameter

equal radii

greater

An angle that is formed by two radii of a circle is a ____ang…

The greatest chord in a circle is the_____?

Two circles are congruent if they have_____?

The greater chord of a circle subtends the______minor are.

central

An angle that is formed by two radii of a circle is a ____ang…

diameter

The greatest chord in a circle is the_____?

A diameter that bisects a chord of a c…

The perpendicular bisector of any chor…

Chords equidistant from the center of…

The greater of 2 chords is______the ce…

1.is perpendicular to the chord. 2.bisects the arcs of the ch…

the center of the circle

are equal

nearer to

A diameter that bisects a chord of a c…

1.is perpendicular to the chord. 2.bisects the arcs of the ch…

The perpendicular bisector of any chor…

the center of the circle

An unlimited line that cuts a circle i…

A figure bounded by an arc of a circle…

Two magnitudes of the same kind that h…

A central angle of a circle is measure…

secant

segment

incommensurable

its intercepted arc

An unlimited line that cuts a circle i…

secant

A figure bounded by an arc of a circle…

segment

The bisector of the vertex angle of am…

An equilateral triangle is also ______?

An exterior angle of a triangle is ___…

One and only one _____ can be drawn to…

The base

Equiangular

Greater than

Perpendicular

The bisector of the vertex angle of am…

The base

An equilateral triangle is also ______?

Equiangular

Axiom 1

Axiom 2 (addition Axiom)

Axiom 3 (subtraction axiom)

Axiom 4 (Multiplication Axiom)

Quantities that are = to the same quantities or = quantities…

If ='s are added to ='s, the sums are =.

If ='s are subtracted from ='s, the remainders are =.

Doubles of ='s are . In general, if ='s are multiplied by equ…

Axiom 1

Quantities that are = to the same quantities or = quantities…

Axiom 2 (addition Axiom)

If ='s are added to ='s, the sums are =.

Equal

Sums

Remainders

Products

Quantities that are equal to the same or equal quantities are…

If equals are added to equals, the _ are equal. (Addition axi…

If equals are subtracted from equals, the _ are equal. (Subtr…

If equals are multiplied by equals, the _ are equal. (Multipl…

Equal

Quantities that are equal to the same or equal quantities are…

Sums

If equals are added to equals, the _ are equal. (Addition axi…

A line that intersects two or more oth…

Two lines perpendicular to the same li…

Two parallel lines and a transversal c…

Two lines parallel to the same line ar…

Transversal

Parallel

Never

Parallel

A line that intersects two or more oth…

Transversal

Two lines perpendicular to the same li…

Parallel

Axiom 1

Axiom 2 (addition Axiom)

Axiom 3 (subtraction axiom)

Axiom 4 (Multiplication Axiom)

Quantities that are = to the same quantities or to = quantiti…

If ='s are added to ='s, the sums are =.

If ='s are subtracted from ='s, the remainders are =.

Doubles of ='s are . In general, if ='s are multiplied by equ…

Axiom 1

Quantities that are = to the same quantities or to = quantiti…

Axiom 2 (addition Axiom)

If ='s are added to ='s, the sums are =.

Incenter

Circumcenter

always

sometimes

What do you call the point of concurrency for the angle bisec…

What do you call the point of concurrency for the perpendicul…

The incenter is ______ inside the triangle

The circumcenter is ______ inside the triangle

Incenter

What do you call the point of concurrency for the angle bisec…

Circumcenter

What do you call the point of concurrency for the perpendicul…

what is the formula for finding the to…

What is the formula for finding how ma…

how many degrees are in an 8 sided pol…

how many sides does an equiangular pol…

180(n-2)

(n-2)(180)/n

180(8-2) 180(6-2)... 180(6) 180(4)... 1080 720

60= (180n-360)/n... 60n=180n-360... 360/120=n... n=3

what is the formula for finding the to…

180(n-2)

What is the formula for finding how ma…

(n-2)(180)/n

Geometry

Geometric solid

Surface

Line/edge

Study that deals with the properties, measurements, and const…

The space an object occupies

The face of a solid

The intersection of two surfaces

Geometry

Study that deals with the properties, measurements, and const…

Geometric solid

The space an object occupies

true

false

false

true

Regular polygons of the same number of sides are similar.

an apothem of the regular polygon is the radius of the circum…

The area of a regular polygon is equal to the product of its…

A radius of a regular polygon bisects the vertex angle of the…

true

Regular polygons of the same number of sides are similar.

false

an apothem of the regular polygon is the radius of the circum…

1

2

3

4

The sum of the three angles of a triangle is equal to one str…

Two straight lines can intersect at only one point

A line can be divided into two equal parts by only one point

A given line can be divided into two equal parts by only one…

1

The sum of the three angles of a triangle is equal to one str…

2

Two straight lines can intersect at only one point

Postulate 1

Postulate 2

Postulate 3

Postulate 4

Through 2 given points one and only one straight line can be…

A straight line is the shortest line that can be drawn betwee…

A straight line may be extended indefinitely or it may be lim…

A circle or part of one may be drawn about any point as the c…

Postulate 1

Through 2 given points one and only one straight line can be…

Postulate 2

A straight line is the shortest line that can be drawn betwee…

false

true

true

false

If the lengths of the corresponding pairs of sides of two pol…

A line through the midpoints of two sides of a triangle cuts…

The lengths of two corresponding altitudes of similar triangl…

Doubling the lengths of the sides of similar triangles will a…

false

If the lengths of the corresponding pairs of sides of two pol…

true

A line through the midpoints of two sides of a triangle cuts…

true

false

false

false

A diameter which bisects one of two parallel chords, both of…

The sum of two obtuse angles can add up to a straight angle.

If two chords of a circle are perpendicular to each other, th…

If AB is perpendicular to CD, AB passes through the midpoint…

true

A diameter which bisects one of two parallel chords, both of…

false

The sum of two obtuse angles can add up to a straight angle.

A straight line perpendicular to one o…

Lines perpendicular to non-parallel li…

If two angles of one triangle are equa…

The sum of the angles of a triangle is…

perpendicular

Not parallel

Is equal to the third angle of the second

A straight angle or 180 degrees

A straight line perpendicular to one o…

perpendicular

Lines perpendicular to non-parallel li…

Not parallel

arcs

central angles

greater minor arc

greater central angle

If in the same circle or in congruent circles two central ang…

If in the same circle or in congruent circles two arcs are eq…

If in the same circle or in congruent circles two central ang…

If in the same circle or in congruent circles two minor arcs…

arcs

If in the same circle or in congruent circles two central ang…

central angles

If in the same circle or in congruent circles two arcs are eq…

Axiom 1

Addition Axiom (Axiom 2 )

Subtraction Axiom (Axiom 3)

Multiplication Axiom (Axiom 4)

quantities that are equal to the same quantity or to equal qu…

if equals are added to equals, the sums are equal.

if equals are subtracted from equals, the remainders are equal

doubles of equals are equal. In general, if equals are multip…

Axiom 1

quantities that are equal to the same quantity or to equal qu…

Addition Axiom (Axiom 2 )

if equals are added to equals, the sums are equal.

axiom

equal to each other

equal (addition axiom)

equal (subtraction axiom)

a general statement accepted without proof to be true

quantities that are equal to the same quantity or to equal qu…

equals added to equals, the sums are ?

equals subtracted from equals, the sums are ?

axiom

a general statement accepted without proof to be true

equal to each other

quantities that are equal to the same quantity or to equal qu…

1.AC=BC. Af & bf bisect angle A & angl…

2 Angle CAB = angle CBA

3 Angle fad= 1/2 angle cab

4 Angle fad= angle fbe

1.Given

2 Angle opposite = sides (ac=bc)

3 Def of angle bisectors (af & bf)

4 Substitution or 1/2's of ='s are =

1.AC=BC. Af & bf bisect angle A & angl…

1.Given

2 Angle CAB = angle CBA

2 Angle opposite = sides (ac=bc)

How many lines can go through two poin…

If two lines are parallel to the same…

If two triangles are equal in area do…

If two chords of a circle bisect each…

One

Parallel

Never

They are the diameters

How many lines can go through two poin…

One

If two lines are parallel to the same…

Parallel

true

An angle inscribed in a semicircle is…

Tangents to a circle at opposite ends…

Two circles are congruent if they have…

A diameter which bisects one of two parallel chords, both of…

right

parallel

radii (or diameters)

true

A diameter which bisects one of two parallel chords, both of…

An angle inscribed in a semicircle is…

right

1.AB =CD, and AE and CD are parallel

2. Arc EC = Arc DA

3. Arc AB= arc CD

4.Arc AB= arc DB + DA... Arc CD = arc BD…

1. Given

2. Arcs intercepted by parallel lines are equal

3. Arcs of equal chords are equal

4. The whole is equal to the sun if all its parts

1.AB =CD, and AE and CD are parallel

1. Given

2. Arc EC = Arc DA

2. Arcs intercepted by parallel lines are equal

when two straight lines are cut by a t…

if a line is paraell to one of two per…

if two angles are supplementary to the…

the sum of two acute angles is an obtu…

true

false

false

false

when two straight lines are cut by a t…

true

if a line is paraell to one of two per…

false

Geometry

Line

Point

Straight edge

The study that deals with the properties, measurements, and c…

The intersection of two surfaces

Where the intersection of any two lines meet

The instrument used to draw straight lines

Geometry

The study that deals with the properties, measurements, and c…

Line

The intersection of two surfaces

1. AC = BC, AF bisects angles a and b,…

<A = <B

<FAD = 1/2 <A and <FBE = 1/2 <B

<FAD = <FBE

Given

Angles opposite equal sides of a triangle are equal

Definition of angle bisector

Substitution

1. AC = BC, AF bisects angles a and b,…

Given

<A = <B

Angles opposite equal sides of a triangle are equal

Geometry

Surface

Line

Point

is the study that deals with the properties measurements and…

each of the six faces which bound the solid

the intersection of two surfaces.

the intersection of any two lines.

Geometry

is the study that deals with the properties measurements and…

Surface

each of the six faces which bound the solid

Axiom 1

Addition Axiom (Axiom 2 )

Subtraction Axiom (Axiom 3)

Multiplication Axiom (Axiom 4)

Quantities that are equal to the same quantity or to equal qu…

If equals are added to equals, the sums are equal.

If equals are subtracted from equals, the remainders are equal.

Doubles of equals are equal. In general, if equals are multip…

Axiom 1

Quantities that are equal to the same quantity or to equal qu…

Addition Axiom (Axiom 2 )

If equals are added to equals, the sums are equal.

Proof

Theorem

Corollary

Analysis

The process of deductive reasoning whereby the truth of a the…

A statement not self evident but proved by a chain of reasoning

Another geometric statement that is easily deduced from the g…

Pre-proof planning step that can greatly solve problems by gu…

Proof

The process of deductive reasoning whereby the truth of a the…

Theorem

A statement not self evident but proved by a chain of reasoning

Axiom 1

Addition Axiom (Axiom 2 )

Subtraction Axiom (Axiom 3)

Multiplication Axiom (Axiom 4)

quantities that are equal to the same quantity or to equal qu…

if equals are added to equals, the sums are equal.

if equals are subtracted from equals, the remainders are equal

doubles of equals are equal. In general, if equals are multip…

Axiom 1

quantities that are equal to the same quantity or to equal qu…

Addition Axiom (Axiom 2 )

if equals are added to equals, the sums are equal.