#### Study sets matching "abeka geometry"

#### Study sets matching "abeka geometry"

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

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 =.

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…

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

36 to 25

72 sq. in.

24 sq. in.

7 in.

One rectangle has a base of 12 inches and an altitude of 6 in…

What is the area of the first rectangle in number one above?

Find the area of a triangle that has a base of 6 inches and a…

A trapezoid has one base of 10 inches, an altitude of 6 inche…

36 to 25

One rectangle has a base of 12 inches and an altitude of 6 in…

72 sq. in.

What is the area of the first rectangle in number one above?

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

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…

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

Perpendicular

Central

Two

Parallel

A tangent to a circle is ______ to the radius of the circle d…

An angle formed by two radii of a circle is a(n) ______ angle.

A straight line can cut a circle in at most ______ point(s).

Tangents drawn to a circle at the ends of a diameter are ____…

Perpendicular

A tangent to a circle is ______ to the radius of the circle d…

Central

An angle formed by two radii of a circle is a(n) ______ angle.

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…

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

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…

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…

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

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.

True

False

True

False

A diameter that bisects a shorter chord of the same circle is…

In a circle, the longer of two chords is farther from the cen…

Perpendicular to a tangent at the point of tangency will pass…

The greater of two minor arcs in a circle will subtend the le…

True

A diameter that bisects a shorter chord of the same circle is…

False

In a circle, the longer of two chords is farther from the cen…

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)

Apothem

(N-2)180=sum of the angles

Divide 360 degrees by the degrees of t…

Altitude=1/2 side times square root of…

A line that is drawn from the center of a regular polygon per…

How do you find the sum of the angles of a polygon (it's a fo…

How do you find the number of sides of a polygon if the centr…

Find the length of a line that forms an apothem that is drawn…

Apothem

A line that is drawn from the center of a regular polygon per…

(N-2)180=sum of the angles

How do you find the sum of the angles of a polygon (it's a fo…

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.

geometry

line segment

equal segments

midpoint

the study the deals with the properties, measurements, & cons…

limited portion of a line

2 line segments are equal when their end points can be made t…

the point in the middle of a line segment

geometry

the study the deals with the properties, measurements, & cons…

line segment

limited portion of a line

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…

how many lines can be drawn through tw…

if two lines are parallel to the same…

if two chords of a circle bisect each…

if two polygons have the same number o…

one

parallel

they are diameters

sometimes

how many lines can be drawn through tw…

one

if two lines are parallel to the same…

parallel

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

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

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

Vertex

Bisector

Perpendicular

Supplementary (Supplements)

The point where an angle originates.

The line that divides an angle into two equal angles.

Lines that form right angles.

A pair of angles having a sum equal to a straight angle.

Vertex

The point where an angle originates.

Bisector

The line that divides an angle into two equal angles.

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

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

geometry

point

line segment

congruent

the branch of mathematics which involves the measuring of sha…

represented by a dot

group of points having two endpoints

same size, same shape

geometry

the branch of mathematics which involves the measuring of sha…

point

represented by a dot