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Line of Symmetry and Line of Reflection

Magnitude of Rotation

Rotation

Magnitude

The line l is known as the ____________________.

A square has rotational symmetry of order 4. This means that…

The transformation that occurs when lines m and n are interse…

Translations can be accomplished by using a vector. Vectors a…

Line of Symmetry and Line of Reflection

The line l is known as the ____________________.

Magnitude of Rotation

A square has rotational symmetry of order 4. This means that…

equilateral triangle

isosceles triangle

scalene triangle

equiangular triangle

an equilateral triangle is a triangle in which all three side…

an isosceles triangle is a triangle that has two sides of equ…

A triangle with all sides of different lengths. No sides are…

An equiangular triangle is a triangle where all three interio…

equilateral triangle

an equilateral triangle is a triangle in which all three side…

isosceles triangle

an isosceles triangle is a triangle that has two sides of equ…

counterexample

postulate

adjacent angles

complementary angles

an example that proves a statement false

an accepted statement of fact

are a pair of angles with a common vertex and a common side,…

Two angles whose sum is 90 degrees

counterexample

an example that proves a statement false

postulate

an accepted statement of fact

Inductive Reasoning

Conjecture

Counter Example

Conditional Statement

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

A statement that is believed to be true

An example that proves a conjecture or statement false

A statement that can be written in the form "if p then q" whe…

Inductive Reasoning

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

Conjecture

A statement that is believed to be true

Angle

Vertex of an angle

Measure of an angle

Degrees

is formed by two rays that share a common endpoint provided t…

is a the common endpoint of the two rays of an angle.

is the smallest amount of rotation about the vertex between t…

is the unit of measurement for angles.

Angle

is formed by two rays that share a common endpoint provided t…

Vertex of an angle

is a the common endpoint of the two rays of an angle.

Area

Perimeter

Area vs perimeter

Trapezoid

Area is the number of square units enclosed by the two dimens…

Perimeter is the distance around the outside of a 2D shape.

Area is the number of square units enclosed by the 2D shape.…

Two dimensional shape with four sides and one pair of paralle…

Area

Area is the number of square units enclosed by the two dimens…

Perimeter

Perimeter is the distance around the outside of a 2D shape.

point

line

plane

collinear points

indicates a location and has no size (undefined term)

represented by a straight path that extends in two opposite d…

represented by a flat surface that extends without end, has n…

points that lie on the same line

point

indicates a location and has no size (undefined term)

line

represented by a straight path that extends in two opposite d…

alternate interior angles

conjecture

line

proof by contradiction

inside the parallel lines, opposite sides of the transversal

An educated guess

A straight, unbroken set of points that goes on forever. It h…

a form of proof that establishes the truth or validity of a p…

alternate interior angles

inside the parallel lines, opposite sides of the transversal

conjecture

An educated guess

Perpendicular Lines

Conditional Statement

Converse

Bi-Condtional Statement

Lines that intersect to form right angles

A statement that can be written as an "if...then..." statement

A statement that is formed by switching the hypothesis and co…

When both a conditional statement and its converse are true -…

Perpendicular Lines

Lines that intersect to form right angles

Conditional Statement

A statement that can be written as an "if...then..." statement

point

line

ray

line segment

a fixed location in space

a figure made up of points that extend forever in both direct…

a figure that has one endpoint and extends forever in the oth…

a piece of a line marked by two endpoints

point

a fixed location in space

line

a figure made up of points that extend forever in both direct…

MIDPOINT... If X is the midpoint of segme…

BISECTOR... How is a midpoint different f…

DEGREE... How much of a turn around a cir…

RAY... Describe a ray.

segment AX is congruent to segment BX

A midpoint is a point on the segment; whereas a segment bisec…

1/360 th

It is part of a line and it has one endpoint but it continues…

MIDPOINT... If X is the midpoint of segme…

segment AX is congruent to segment BX

BISECTOR... How is a midpoint different f…

A midpoint is a point on the segment; whereas a segment bisec…

Inductive Reasoning

Conjecture

Counterexample

Statement

Reasoning based on specific observations to arrive at a concl…

Answer reached using inductive reasoning (always true, unless…

Example proving an original statement wrong

Sentence that is either true or false

Inductive Reasoning

Reasoning based on specific observations to arrive at a concl…

Conjecture

Answer reached using inductive reasoning (always true, unless…

acute triangle

obtuse triangle

parallelogram

rectangle

A triangle that has three acute angles.

A triangle with one obtuse angle.

A quadrilateral with opposites sids equal in length and paral…

A quadrilateral with 4 right angles. Both sets of opposite si…

acute triangle

A triangle that has three acute angles.

obtuse triangle

A triangle with one obtuse angle.

Conjecture

Inductive Reasoning

Counterexample

Conditional Statement

An unproven statement that is based on observations

When you find a pattern in specific cases and then write a co…

A specific case for which the conjecture is false.

Logical statement that has two parts: hypothesis and a conclu…

Conjecture

An unproven statement that is based on observations

Inductive Reasoning

When you find a pattern in specific cases and then write a co…

counterexample

postulate

adjacent angles

complementary angles

an example that proves a statement false

an accepted statement of fact

are a pair of angles with a common vertex and a common side,…

Two angles whose sum is 90 degrees

counterexample

an example that proves a statement false

postulate

an accepted statement of fact

Alternate Exterior Angles

Alternate Interior Angles

Corresponding Angles

Exterior Angle of a Polygon

Nonadjacent exterior angles that lie on opposite sides of the…

Nonadjacent interior angles that lie on opposite sides of the…

Angles on the same side of the transversal and in correspondi…

An angle formed by a side and an extension of an adjacent side.

Alternate Exterior Angles

Nonadjacent exterior angles that lie on opposite sides of the…

Alternate Interior Angles

Nonadjacent interior angles that lie on opposite sides of the…

conjecture

counterexample

deductive reasoning

inductive reasoning

a statement you believe to be true based on inductive reasoning

a drawing, statement, or number that shows that a conjecture…

the process of using logic to draw conclusions from given fac…

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

conjecture

a statement you believe to be true based on inductive reasoning

counterexample

a drawing, statement, or number that shows that a conjecture…

Inductive Reasoning

Deductive Reasoning

Proof

Conditional Statement

The process of forming conjectures that are based on observat…

The process used to get from a set of given facts to a conclu…

A convincing argument that something is true

An "If-then" statement

Inductive Reasoning

The process of forming conjectures that are based on observat…

Deductive Reasoning

The process used to get from a set of given facts to a conclu…

inductive reasoning

conjucture

counterexample

conditional statement

A type of reasoning in which a rule or statement is true beca…

A statement you believe to be true based on inductive reasoni…

An example that proves a statement false

A statement that can be written in the form 'if p, then q."

inductive reasoning

A type of reasoning in which a rule or statement is true beca…

conjucture

A statement you believe to be true based on inductive reasoni…

POINT

RAY

PLANE

ANGLE

A SPECIFIC LOCATION IN SPACE

PART OF A LINE THAT EXTENDS INDEFINITELY IN ONE DIRECTION

A FLAT SURFACE WITH NO BOUNDARIES

FORMED BY 2 RAYS AND A COMMON ENDPOINT

POINT

A SPECIFIC LOCATION IN SPACE

RAY

PART OF A LINE THAT EXTENDS INDEFINITELY IN ONE DIRECTION

Inductive Reasoning

Conjecture

Counter Example

Conditional Statement

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

A statement that is believed to be true

An example that proves a conjecture or statement false

A statement that can be written in the form "if p then q" whe…

Inductive Reasoning

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

Conjecture

A statement that is believed to be true

symmetrical

asymmetrical

congruent figures

right angle

Having sides or halves that are the same.

Having two sides or halves that are not the same.

Two figures or objects that have the same shape and size.

A 90˚ (degree) angle.

symmetrical

Having sides or halves that are the same.

asymmetrical

Having two sides or halves that are not the same.

radius

diameter

circumference

area formula of a circle

distance from center of circle to edge.

distance across a circle through the center

distance around a circle, formula is d•π

A = πr^2

radius

distance from center of circle to edge.

diameter

distance across a circle through the center

biconditional statement

conclusion

conditional statement

conjecture

A statement that can be written in the form "p if and only if…

the part of a conditional statement following the word then

a statement in the form, "If p, then q" where p is the hypoth…

a statement that is believed to be true

biconditional statement

A statement that can be written in the form "p if and only if…

conclusion

the part of a conditional statement following the word then

Biconditional

Compound statement

conclusion

conjecture

the combination of a conditional statement and its converse.…

combines two or more statements

the part of an if-then statement (conditional) that follows t…

a conclusion reached by using inductive reasoning

Biconditional

the combination of a conditional statement and its converse.…

Compound statement

combines two or more statements

Congruent Line Segments

Congruent Angles

Midpoint

Parallel Lines

two or more line segments equal in length

two or more angles that have the same measure

a point that divides a line segment into two equal parts

two or more lines that do not intersect

Congruent Line Segments

two or more line segments equal in length

Congruent Angles

two or more angles that have the same measure

alternate interior angles

area

base

complementary angles

angles that are located on alternate sides of the transversal…

the number of non-overlapping square units needed to cover a…

any side of a triangle to which a height is drawn

two angles whose sum is 90 degrees

alternate interior angles

angles that are located on alternate sides of the transversal…

area

the number of non-overlapping square units needed to cover a…

conjecture

counterexample

inductive reasoning

truth value

an educated guess based on known information

an example that shows a conjecture is false. ... EXAMPLE: Someon…

looking at several specific situations to arrive at a conject…

the truth or falsity of a statement (T or F)

conjecture

an educated guess based on known information

counterexample

an example that shows a conjecture is false. ... EXAMPLE: Someon…

transformation

Rigid motion / Isometric Transformation

Non-Rigid motion / Non-Isometric Trans…

Pre-Image

process which changes the position (and possibly the size and…

shape-preserving transformation in the plane or in space (rot…

transformation that does not preserve size or shape

original shape before a transformation

transformation

process which changes the position (and possibly the size and…

Rigid motion / Isometric Transformation

shape-preserving transformation in the plane or in space (rot…

Line

Collinear points

Coplanar

Segment

A straight, unbroken set of points that goes on forever. It h…

A set of points that lie on the same line

Points, lines, or segments that lie on the same plane

A part of a line with two endpoints.

Line

A straight, unbroken set of points that goes on forever. It h…

Collinear points

A set of points that lie on the same line

acute angle

corresponding angle

Cylinder

Diameter

An angle measuring less than 90º.

Angles of separate figures that are in the SAME position with…

A solid figure with a pair of circular, parallel bases and a…

The length across a circle, passing through the center of the…

acute angle

An angle measuring less than 90º.

corresponding angle

Angles of separate figures that are in the SAME position with…

base

vertex

edge

face

Are the same size, shape, and opposite one another.

Where a base and two faces meet. A point where two or more st…

Where two faces meet. A line segment that joins two vertices.

An individual surface.

base

Are the same size, shape, and opposite one another.

vertex

Where a base and two faces meet. A point where two or more st…

Plane

Dimensional figure

Point

Line

A flat surface that NEVER ends in ALL directions.

Any figure that sits flat on a plane

A spot in space. Drawn A.

A straight line that goes on forever in BOTH DIRECTIONS. Also…

Plane

A flat surface that NEVER ends in ALL directions.

Dimensional figure

Any figure that sits flat on a plane

Conditional Statement

Hypothesis

Conclusion

Converse

A statement that can be written in the form "if p then q" whe…

The part of a conditional that follows "if" (p)

The part of a conditional that follows "then" (q)

The statement formed by exchanging the hypothesis and conclus…

Conditional Statement

A statement that can be written in the form "if p then q" whe…

Hypothesis

The part of a conditional that follows "if" (p)

inductive reasoning

conditional statement

hypothesis

conclusion

reasoning based on patterns you observe

if-then statement

"if" part of a conditional statement

"then" part of a conditional statement

inductive reasoning

reasoning based on patterns you observe

conditional statement

if-then statement

bi-conditional statement

conclusion

conditional

hypothesis

a statement containing the phrase "If and Only If"

the "then" part of a conditional statement

a statement with both a hypothesis and a conclusion, typicall…

the "If" part of a conditional statement

bi-conditional statement

a statement containing the phrase "If and Only If"

conclusion

the "then" part of a conditional statement

Inductive reasoning

Conjecture

Counterexample

Conditional

Reasoning based on patterns you observe.

A conclusion you reach using inductive reasoning.

An example that shows that a conjecture is incorrect.

An if-then statement.

Inductive reasoning

Reasoning based on patterns you observe.

Conjecture

A conclusion you reach using inductive reasoning.

point

line

plane

endpoint

(one of the three undefined terms of geometry) represents a l…

(one of the three undefined terms of geometry) a straight, co…

(one of the three undefined terms of geometry) a flat surface…

the point at either end of a segment or arc, or the first poi…

point

(one of the three undefined terms of geometry) represents a l…

line

(one of the three undefined terms of geometry) a straight, co…

The combination of a conditional state…

A statement formed by combining two or…

The part of an if-then statement (cond…

A statement that includes a hypothesis…

Biconditional

Compound Statement

Conclusion

Conditional

The combination of a conditional state…

Biconditional

A statement formed by combining two or…

Compound Statement

Inductive Reasoning

Deductive Reasoning

Proof

Conditional Statement

The process of forming conjectures that are based on observat…

The process used to get from a set of given facts to a conclu…

A convincing argument that something is true

An "If-then" statement

Inductive Reasoning

The process of forming conjectures that are based on observat…

Deductive Reasoning

The process used to get from a set of given facts to a conclu…

Perpendicular

Complementary Angles

Supplementary Angles

Property of Segment Addition

2 lines, rays, or segments that intersect forming a right ang…

2 angles whose measures sum to equal 90 degrees

2 angles whose measures sum to equal 180 degrees

if a segment is added to 2 congruent segments, the sums are c…

Perpendicular

2 lines, rays, or segments that intersect forming a right ang…

Complementary Angles

2 angles whose measures sum to equal 90 degrees

Line

Collinear points

Coplanar

Segment

A straight, unbroken set of points that goes on forever. It h…

A set of points that lie on the same line

Points, lines, or segments that lie on the same plane

A part of a line with two endpoints.

Line

A straight, unbroken set of points that goes on forever. It h…

Collinear points

A set of points that lie on the same line

conclusion

conditional

contrapositive

converse

A summary based on evidence or facts, the then part of the co…

An if-then statement

switches the hypothesis and the conclusion and negates both e…

The statement formed by exchanging the hypothesis and conclus…

conclusion

A summary based on evidence or facts, the then part of the co…

conditional

An if-then statement

Line of Symmetry and Line of Reflection

Magnitude of Rotation

Rotation

Magnitude

The line l is known as the ____________________.

A square has rotational symmetry of order 4. This means that…

The transformation that occurs when lines m and n are interse…

Translations can be accomplished by using a vector. Vectors a…

Line of Symmetry and Line of Reflection

The line l is known as the ____________________.

Magnitude of Rotation

A square has rotational symmetry of order 4. This means that…

Kite

Trapezoid

Isosceles trapezoid

Parallelogram

A quadrilateral with two distinct pairs of consecutive sides.

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

A trapezoid with two congruent legs.

A quadrilateral with two pairs of parallel sides.

Kite

A quadrilateral with two distinct pairs of consecutive sides.

Trapezoid

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