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altitude

angle

area

axis

connects a vertex with the opposite side; must be perpendicul…

two rays that share a common endpoint (initial point) the ray…

L x W

2 _____ one is the x and one is the y on a coordinate plane

altitude

connects a vertex with the opposite side; must be perpendicul…

angle

two rays that share a common endpoint (initial point) the ray…

Point (undef)

Line (undef)

Plane (undef)

Collinear Points

is a location that has no shape or size

Created by two or more points and has no exact thickness; Con…

Flat surface consisting of at least 3 points; extends forever…

Points that lie on the same line

Point (undef)

is a location that has no shape or size

Line (undef)

Created by two or more points and has no exact thickness; Con…

Point

Line

Collinear

Non-collinear

An exact location in space.

A figure determined by two points that extends infinetly into…

2 or more points on the same line.

Points not on the same line.

Point

An exact location in space.

Line

A figure determined by two points that extends infinetly into…

Linear Pair

Linear Pair Postulate

Vertical Angles Theorem

Definition of Congruent Triangles

Pair of adjacent angles that form a line

Linear Pairs are Supplementary

Vertical Angles are Congruent

Congruent triangles have equally measuring corresponding side…

Linear Pair

Pair of adjacent angles that form a line

Linear Pair Postulate

Linear Pairs are Supplementary

Definition of Congruence

Definition of Angle Bisector

Definition of Complementary Angles

Definition of Supplementary Angles

Measure A=Measure B <> <A congruent <B

Divides an angle into two equal parts

Complementary<>Sum is 90 degrees

Supplementary <> Sum of 180 degrees

Definition of Congruence

Measure A=Measure B <> <A congruent <B

Definition of Angle Bisector

Divides an angle into two equal parts

Conjecture

Inductive Reasoning

Deductive Reasoning

Linear Pairs

An opinion or conclusion formed on the basis of incomplete in…

Reasoning in which the premises seek to supply strong evidenc…

A logical process in which a conclusion is based on the conco…

A pair of adjacent, supplementary angles.

Conjecture

An opinion or conclusion formed on the basis of incomplete in…

Inductive Reasoning

Reasoning in which the premises seek to supply strong evidenc…

geometry

line

plane

segment

the study of shapes and their relationships

straight set of points going forever in two directions

flat surface going forever

two points and all points straight between them

geometry

the study of shapes and their relationships

line

straight set of points going forever in two directions

Inductive reasoning is making a ______…

If two lines intersect, then their int…

The three undefined terms of geometry…

Through any two points, there exists e…

conclusion

point

point line plane

one line

Inductive reasoning is making a ______…

conclusion

If two lines intersect, then their int…

point

Angle

Line

Line Segment

Ray

A figure formed by two rays with a common endpoint

1. A long thin mark on a surface. 2. A continuous extent of l…

A part of a line with two endpoints

A part of a line, with one endpoint, that continues without e…

Angle

A figure formed by two rays with a common endpoint

Line

1. A long thin mark on a surface. 2. A continuous extent of l…

Angle

Line

Line Segment

Ray

The space between two sides close to their intersection (in d…

A thin mark of a certain length that continues with no endpoint

A line with a point on either end

A line with a point on one end and continues without a point…

Angle

The space between two sides close to their intersection (in d…

Line

A thin mark of a certain length that continues with no endpoint

Pythagorean Theorem

Converse of the Pythagorean Theorem

Law of Sines

Law of Cosines

a² + b² = c² *... "a" means the vertical leg of the right trian…

c² = a² + b² *... "a" means the shortest side of the triangle... "…

(sin ∠A/a) = (sin ∠B/b) = (sin ∠C/c).

c² = a² + b² - 2ab * cos ∠C or a² = b² + c² - 2bc * cos ∠A or…

Pythagorean Theorem

a² + b² = c² *... "a" means the vertical leg of the right trian…

Converse of the Pythagorean Theorem

c² = a² + b² *... "a" means the shortest side of the triangle... "…

Perpendicularity

Complementary angles

Supplementary angles

Opposite rays

If lines, segments, or rays intersect at right angles, then t…

If the sum of two angles is 90 degrees(right angle) then they…

If the sum of two angles is 180 degrees (straight angle), the…

If two collinear rays have a common endpoint and extend in di…

Perpendicularity

If lines, segments, or rays intersect at right angles, then t…

Complementary angles

If the sum of two angles is 90 degrees(right angle) then they…

What point of concurrency do the angle…

What point of concurrency do the media…

What point of concurrency do the altit…

What point of concurrency do the perpe…

the incenter

centroid

orthocenter

circumcenter

What point of concurrency do the angle…

the incenter

What point of concurrency do the media…

centroid

What is the surface area of a cylinder?

What is the volume of a cylinder?

What is the surface area of a prism?

What is the volume of a prism?

2πrh + 2(πr²)

πr² * h

sum of areas of lateral faces + area of bases (so basically,…

area of a base * height

What is the surface area of a cylinder?

2πrh + 2(πr²)

What is the volume of a cylinder?

πr² * h

point

line

collinear

line segment

has no dimension, small dot that represents a location; named…

has one dimension; extends in 2 directions with no end; named…

lie on the same line; two points are always collinear

piece of a line; two end points and all the points in between

point

has no dimension, small dot that represents a location; named…

line

has one dimension; extends in 2 directions with no end; named…

Parallel Lines

Skew Lines

Parallel Planes

If two parallel planes are cut by a th…

COPLANAR lines that do not intersect

NON coplanar lines that to not intersect (think left/right an…

Planes that do not intersect (Think floor and ceiling)

If planes X and Y are parallel, then their lines of intersect…

Parallel Lines

COPLANAR lines that do not intersect

Skew Lines

NON coplanar lines that to not intersect (think left/right an…

Point

Line

Plane

Collinear

Undefined. No size, thickness, represents location, all other…

Undefined term. No thickness, goes on forever in opposite dir…

Undefined term. No thickness. Flat surface that extends infin…

points all in one line

Point

Undefined. No size, thickness, represents location, all other…

Line

Undefined term. No thickness, goes on forever in opposite dir…

Perpendicular Lines

Linear Pair Theorem

Linear Pair Postulate

Angle Bisector

Lines that intersect to form right angles

If two angles form a linear pair then they are supplementary

If two angles form a linear pair then the sum of their measur…

A ray that divides an angle into two congruent angles

Perpendicular Lines

Lines that intersect to form right angles

Linear Pair Theorem

If two angles form a linear pair then they are supplementary

Kite

Trapezoid

Isosceles trapezoid

Rhombus

A 4-sided flat shape with straight sides that has two pairs o…

A trapezoid is a 4-sided flat shape with straight sides that…

the sides that aren't parallel are equal in length and both a…

a four-sided shape where all sides have equal length; opposit…

Kite

A 4-sided flat shape with straight sides that has two pairs o…

Trapezoid

A trapezoid is a 4-sided flat shape with straight sides that…

parallel lines

perpendicular lines

skew lines

parallel planes

coplanar lines which do not intersect

lines which intersect at 90 degree angles

noncoplanar lines which are not parallel and do not intersect

planes which do not intersect

parallel lines

coplanar lines which do not intersect

perpendicular lines

lines which intersect at 90 degree angles

Segment Addition Postulate

Protractor Postulate

An angle can be named in 4 ways

Angle Addition Postulate

If b is between A and C, then AB + BC= AC

To find the measure in degrees of an angle, compute the absol…

For example : <abc ... 1. <1( if it has a number label)... 2. <b... 3.…

If point b lies in the interior of < AOC then m<AOB+m<BOC =m<…

Segment Addition Postulate

If b is between A and C, then AB + BC= AC

Protractor Postulate

To find the measure in degrees of an angle, compute the absol…

inductive reasoning

conjecture

counterexample

conditional statement

the process of reasoning that a rule or statement is true bec…

a statement you believe to be true based on inductive reasoning

an example in which a conjecture is not true

statement that can be written in the form "if...then..."

inductive reasoning

the process of reasoning that a rule or statement is true bec…

conjecture

a statement you believe to be true based on inductive reasoning

angle

right angle

acute angle

obtuse angle

a figure formed by two rays with a common endpoint called the…

an angle that measures 90 degrees

an angle that measures greater than 0 degrees and less than 9…

an angle whose measure is greater than 90 degrees but less th…

angle

a figure formed by two rays with a common endpoint called the…

right angle

an angle that measures 90 degrees

acute angle

adjacent angles

undefined terms

line

an angle that measures greater than 0 degrees and less than 9…

two angles in the same plane with a common vertex and a commo…

a basic figure that is not defined in terms of other figures.…

an undefined term in geometry, a line is a straight path that…

acute angle

an angle that measures greater than 0 degrees and less than 9…

adjacent angles

two angles in the same plane with a common vertex and a commo…

Through any 2 points their is ________…

Through any 3 points their is ________…

2 points are _______________ collinear

3 points are _______________ collinear

Always

Sometimes

Always

Sometimes

Through any 2 points their is ________…

Always

Through any 3 points their is ________…

Sometimes

Theorem

Theorem 1

Deductive Structure

Postulate

A mathematical statement that can be proved

If two angles are right angles, then they are congruent

A system of thought in which conclusions are justified by mea…

a unproved assumption

Theorem

A mathematical statement that can be proved

Theorem 1

If two angles are right angles, then they are congruent

Incenter

Orthocenter

Midpoint Formula

Centroid/Medians

The point of concurrency of the three angle bisectors

The perpendicular segment from vertex of a triangle to the op…

A segment from vertex to midpoint. (steps: midpoint, slope, e…

Incenter

The point of concurrency of the three angle bisectors

Orthocenter

The perpendicular segment from vertex of a triangle to the op…

Trapezoid and How to Determine

Kite and How to Determine *

Parallelogram and How to Determine

Rhombus and How to Determine

A quadrilateral with exactly one pair of parallel sides. Chec…

Quadrilateral with two different pairs of consecutive congrue…

Quadrilateral with two pairs of parallel sides. Check slope -…

Quadrilateral that is equilateral and has two pairs of parall…

Trapezoid and How to Determine

A quadrilateral with exactly one pair of parallel sides. Chec…

Kite and How to Determine *

Quadrilateral with two different pairs of consecutive congrue…

chord

central angle

inscribed angle

arc

a segment whose endpoints lie on a circle

an angle less than 180° whose vertex lies at the center of a…

an angle whose vertex lies on a circle and whose sides contai…

a continuous portion of a circle consisting of two points (ca…

chord

a segment whose endpoints lie on a circle

central angle

an angle less than 180° whose vertex lies at the center of a…

Perpendicular Bisector

Angle Bisector

Midline

Altitude

A ray, line or segment that is perpendicular to a segment at…

A ray, line or line segment that bisects an angle (cuts the a…

Segment that connects the midpoints of two sides of a triangle.

The segment connecting a vertex of a triangle drawn perpendic…

Perpendicular Bisector

A ray, line or segment that is perpendicular to a segment at…

Angle Bisector

A ray, line or line segment that bisects an angle (cuts the a…

dilation

center of dilation

scale factor

similarity transformation

a transformation that changes the size of a figure but not it…

the intersection of the lines that connect each point of the…

the multiplier used on each dimension to change one figure in…

a transformation that produces similar figures

dilation

a transformation that changes the size of a figure but not it…

center of dilation

the intersection of the lines that connect each point of the…

scalene

isosceles

47º

78º

Find the measures of the sides of ∆ABC and classify the trian…

Find the measures of the sides of KPL and classify the triang…

m∠1=?

m∠2=?

scalene

Find the measures of the sides of ∆ABC and classify the trian…

isosceles

Find the measures of the sides of KPL and classify the triang…

Supplementary angles add up to...?

Complementary angles add up to...?

What are congruent triangles?

Same side interior add up to?

180 degrees, or a straight line

90 degrees or a right angle

They are triangles that have all six parts equal. Basically a…

180 degrees. in this picture the same side interior angles ar…

Supplementary angles add up to...?

180 degrees, or a straight line

Complementary angles add up to...?

90 degrees or a right angle

Polygon

Net

Point

Line

a two d figure with 3 or more sides where each side meters (e…

a two d diagram of a 3 d figure, show all surfaces in one view

something that has a location but not an extension, where two…

a continuous extent of length, without breadth or thickness

Polygon

a two d figure with 3 or more sides where each side meters (e…

Net

a two d diagram of a 3 d figure, show all surfaces in one view

Inductive reasoning

conjecture

counterexample

point

reasoning based on patterns you observe

conclusion you reach using inductive reasoning

example for which the conjecture is incorrect

location

Inductive reasoning

reasoning based on patterns you observe

conjecture

conclusion you reach using inductive reasoning

Polygon

side of a polygon

vertex of a polygon

convex polygon

a closed plane with three or more line segments

each line segment that forms a polygon

each endpoint of a side of a polygon

a polygon such that no line containing a side of the polygon…

Polygon

a closed plane with three or more line segments

side of a polygon

each line segment that forms a polygon

line segment

ray

plane

line

Part of a line consisting of two points and all the points be…

The part of a line that starts at an end point and extends fo…

Flat surface that has no thickness and extends forever. Name:…

Straight path that has no thickness and extends forever. Name…

line segment

Part of a line consisting of two points and all the points be…

ray

The part of a line that starts at an end point and extends fo…