# Study sets matching "geometry"

theorem

vertical angles theorem

paragraph proof

congruent supplements theorem

conjecture or a statement that you prove true.

vertical angles are congruent

it is written as sentences in a paragraph

if two angles are supplements of the same angle(or of congruen…

theorem

conjecture or a statement that you prove true.

vertical angles theorem

vertical angles are congruent

What are the three basic building block…

Has no size or shape... Specific Location…

*Set of points w/ some special characte…

How do you name a line?

Point... Line... Plane

Point

Line

Write only two points on a line and put line symbol on top of…

What are the three basic building block…

Point... Line... Plane

Has no size or shape... Specific Location…

Point

abase

abate

abdicate

abduct

(v.) to humiliate, degrade (After being overthrown and abased,…

(v.) to reduce, lessen (The rain poured down for a while, then…

(v.) to give up a position, usually one of leadership (When he…

(v.) to kidnap, take by force (The evildoers abducted the fair…

abase

(v.) to humiliate, degrade (After being overthrown and abased,…

abate

(v.) to reduce, lessen (The rain poured down for a while, then…

Which atoms can violate the octet rule?

True or False?... B and Al can sometimes o…

Which is stronger?... sigma bonds, or pi b…

How can you tell which Lewis structure…

Third row of elements and below

TRUE

SIGMA

Drawing resonance, then finding which structure with an overal…

Which atoms can violate the octet rule?

Third row of elements and below

True or False?... B and Al can sometimes o…

TRUE

The central black holes observed in a f…

If the universe had an open geometry, w…

What would an inhabitant of a distant g…

Which of the following characteristics…

2 million - 10 billion solar masses

expand forever, more and more slowly.

A red shift

d. All of the above.

The central black holes observed in a f…

2 million - 10 billion solar masses

If the universe had an open geometry, w…

expand forever, more and more slowly.

Adjacent Angles

Linear Angles

Complementary Angles

Supplementary Angles

Two angles that share a vertex, and a side, but have no common…

Adjacent angles on a line. The non-shared sides are opposite r…

Two angles that add up to 90 degrees

Two angles that add up to 180 degrees

Adjacent Angles

Two angles that share a vertex, and a side, but have no common…

Linear Angles

Adjacent angles on a line. The non-shared sides are opposite r…

coordinate

distance

congruent segments

midpoint

a point on a line corresponding to a real number

the absolute value of the distance between two points... Formula:…

two segments of equal length

point dividing a line segment into two congruent segments

coordinate

a point on a line corresponding to a real number

distance

the absolute value of the distance between two points... Formula:…

Polygon Mesh

Polygon Mesh

Polygon Mesh

Parametric Surfaces

defined by a set of vertices and a set of faces (which are usu…

Advantages:... - easy to define

Disadvantages:... - no control over shape properties e.g. curves…

defined as function p(s,t)=(x(s,t), y(s,t), z(s,t))

Polygon Mesh

defined by a set of vertices and a set of faces (which are usu…

Polygon Mesh

Advantages:... - easy to define

point

line

plane

collinear points

a location in space with no defined size

a structure formed of infinite points extending in both direct…

flat surface extending infinitely, commonly defined by three p…

points lying on the same line

point

a location in space with no defined size

line

a structure formed of infinite points extending in both direct…

Equilateral triangle

line

parallel

plane

A triangle in which all 3 sides are congruent

linear, connecting two points and extending beyond the points…

never intersecting

a flat, two-dimensional surface extending in all directions.

Equilateral triangle

A triangle in which all 3 sides are congruent

line

linear, connecting two points and extending beyond the points…

Governemnt

Age of Pericles

Socrates

Plato

Direct Democracy: A type of government where people vote the b…

All male citizens could participate. The government had a lot…

Believed that all real knowledge was within a person and only…

-The Objects we perceive with in our senses are just reflectio…

Governemnt

Direct Democracy: A type of government where people vote the b…

Age of Pericles

All male citizens could participate. The government had a lot…

Theorem 9.5.1

Theorem 9.5.2

Theorem 9.5.3

Theorem 9.5.4

if two segments are tangent to a circle from the same external…

if two secants intersect outside the circle, the product of th…

if a tangent and a secant intersect outside the circle, the pr…

if two chords intersect inside the circle, then the product of…

Theorem 9.5.1

if two segments are tangent to a circle from the same external…

Theorem 9.5.2

if two secants intersect outside the circle, the product of th…

Inscribed Angle

Inscribed Angle Theorem

Right Angle Corollary

Arc-Intercept Corollary

an angle whose vertex lies on the circle and the sides are the…

the measure of an inscribed angle is equal to half the measure…

if an inscribed angle intercepts a semicircle, then the angle…

if two inscribed angles intercept the same arc, then they have…

Inscribed Angle

an angle whose vertex lies on the circle and the sides are the…

Inscribed Angle Theorem

the measure of an inscribed angle is equal to half the measure…

Chord

Diameter

Minor Arc

Major Arc

a segment whose endpoints lie on the circle

a chord that contains the center of the circle

an arc with a measurement less than a semicircle of that circle

and arc with a measurement more than a semicircle of that circ…

Chord

a segment whose endpoints lie on the circle

Diameter

a chord that contains the center of the circle

Side-Splitting Theorem

Two-Transversal Proportionality Corolla…

Angle Bisector

Median

a line parallel to one side of a triangle divides the other si…

three or more parallel lines divide two intersecting transvers…

a ray that divides and angle into two congruent angles

a segment from a vertex to the midpoint of the opposite side i…

Side-Splitting Theorem

a line parallel to one side of a triangle divides the other si…

Two-Transversal Proportionality Corolla…

three or more parallel lines divide two intersecting transvers…

Dilation

Scale Factor

Similar Figures

Polygon Similarity Postulate

a similarity transformation in which the preimage contracts or…

a fraction that describes the size change from the preimage to…

figures that are congruent by dilation

two polygons are similar if and only if there is correspondanc…

Dilation

a similarity transformation in which the preimage contracts or…

Scale Factor

a fraction that describes the size change from the preimage to…

Cavalieri's Principle

Cylinder

Bases

Altitude

if two space figures have the same height and the same cross-s…

a solid consisting of a circular region and its translated ima…

circles that form the translated images

the distance between the bases, and it must be perpendicular t…

Cavalieri's Principle

if two space figures have the same height and the same cross-s…

Cylinder

a solid consisting of a circular region and its translated ima…