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perimeter

area

volume

prism

tells the measurement or distance around a shape

tells how many square units fit inside a shape

a measurement of how much space a 3D object takes up, measure…

a shape that has congruent bases and all other faces are rect…

perimeter

tells the measurement or distance around a shape

area

tells how many square units fit inside a shape

Theorem 5-1 Mid segment Theorem

Theorem 5-2 Perpendicular Bisector The…

Theorem 5-3 Converse of the Perpendicu…

Theorem 5-4 Angle Bisector Theorem

If a segment joins the midpoints of two sides of a triangle,…

If a point is on the perpendicular bisector of a segment, the…

If a point is equidistant from the endpoint of a segment, the…

If a point on the bisector of an angle, then the point is equ…

Theorem 5-1 Mid segment Theorem

If a segment joins the midpoints of two sides of a triangle,…

Theorem 5-2 Perpendicular Bisector The…

If a point is on the perpendicular bisector of a segment, the…

perimeter

Area

volume

Prism

tells the measurement or distance AROUND a shape

tells how many square units fit inside a shape

a measurement of how much a space a 3D object takes up,measur…

is a shape that has congruent bases and all other faces are r…

perimeter

tells the measurement or distance AROUND a shape

Area

tells how many square units fit inside a shape

Area

Compose a shape

Decompose a shape

Pyramid

The area of a figure is the number of square units the figure…

To compose a shape join two (or more) shapes so that there is…

To decompose a shape, break it up to from other shapes.

A pyramid is a theree dimensional figure with a base that is…

Area

The area of a figure is the number of square units the figure…

Compose a shape

To compose a shape join two (or more) shapes so that there is…

Inductive Reasoning

Counter Example

Point

Line

Looking for patterns and making observations.

A case that shows a statement is false.

An exact location in space. A

One dimensional set of points that extends in two diretitions…

Inductive Reasoning

Looking for patterns and making observations.

Counter Example

A case that shows a statement is false.

acute angle

angle

angle bisector

center of rotation

an angle less than 90 degrees

formed by two rays with the same endpoint

ray that divides an angle into two congruent angles

the point about which a figure is rotated

acute angle

an angle less than 90 degrees

angle

formed by two rays with the same endpoint

Point

line

ray

vertex

A location in space a dot on a pice on a piece of paper

connects two points via the the shorest path

a line with a start point but has no end point

point at whitch two line segnents

Point

A location in space a dot on a pice on a piece of paper

line

connects two points via the the shorest path

Theorem 7.5

Practice 2

Pythagorean triple

Theorem Pythagorean theorem

if the altitude is dram to the hypotenuse of a right triangle…

Identify ... step 1 Break apart triangles

A triple is aset of the positive integers a ,b,c that s satis…

In the right triangle , the square of the length of the hypot…

Theorem 7.5

if the altitude is dram to the hypotenuse of a right triangle…

Practice 2

Identify ... step 1 Break apart triangles

Quadrilateral

Parallelogram properties

Parallelogram ways to prove

Rhombus

sum of interior angles is 360... sum of exterior angles is 360

5 properties : ... opp sides ll... opp sides ≅... diag bisect each oth…

6 ways to prove : ... 1 pair of opp sides ≅ & ll... both pairs of…

all sides ≅... w/ diag that are angle bisectors w/ perp diag

Quadrilateral

sum of interior angles is 360... sum of exterior angles is 360

Parallelogram properties

5 properties : ... opp sides ll... opp sides ≅... diag bisect each oth…

Conclusion

Conditional statement

Conjecture

Contrapositre

A conclusion is the "then" part of a conditional statement.

if p, then q

Guess

a conditional statement is formed by negating both the hypoth…

Conclusion

A conclusion is the "then" part of a conditional statement.

Conditional statement

if p, then q

Adjacent Angles

Vertical Angles

Collinear

Coplanar

coplanar angles that have a common vertex and one common side…

two non-adjacent angles formed bu two intersecting lines

set of points or lines all on the same line

set of points or lines all on the same plane

Adjacent Angles

coplanar angles that have a common vertex and one common side…

Vertical Angles

two non-adjacent angles formed bu two intersecting lines

Triangle-Angle Sum Theorem

Triangle-Angle Sum Theorm Equation

Right Angle

Acute Angle

sum of the measuresof all 3 interior angles of a triangle is…

measurment of angle 1 + measurement of anfle 2 + measurement…

a triangle that has one 90 degree angle

a triangle whose angles are all less then 90 degrees

Triangle-Angle Sum Theorem

sum of the measuresof all 3 interior angles of a triangle is…

Triangle-Angle Sum Theorm Equation

measurment of angle 1 + measurement of anfle 2 + measurement…

Regular Polygon

isosceles triangle

scalene triangle

equilateral triangle

straight sides, closed figure, at least 3 sides,no overlap, a…

2 sides are equal, equilateral triangle

no sides are equal

all sides are equal

Regular Polygon

straight sides, closed figure, at least 3 sides,no overlap, a…

isosceles triangle

2 sides are equal, equilateral triangle

adjacent side

angle of depression

angle of elevation

complementary angles

the side next to the angle of reference

the angle formed by a horizontal line and the line of sight t…

the angle formed by a horizontal line and the line of sight t…

Two angles whose sum is 90 degrees

adjacent side

the side next to the angle of reference

angle of depression

the angle formed by a horizontal line and the line of sight t…

Altitude

Angle Bisector

Median

Midpoint

Line segment extending from the vertex of triangle (perpendic…

Ray that divides the angle into (two congruent angles)

Line segment extending from the vertex of the triangle to the…

Point that divides a segments into ( two congruent segments )

Altitude

Line segment extending from the vertex of triangle (perpendic…

Angle Bisector

Ray that divides the angle into (two congruent angles)

How can you determine if two segments…

How can you determine if two angles ar…

Is the size of an angle determined by…

How can you tell if two angle are adja…

Line segments are congruent if they have the same length.

Angles are congruent if they have the same angle measure in d…

No

If they share a common vertex and ray and have no inner points.

How can you determine if two segments…

Line segments are congruent if they have the same length.

How can you determine if two angles ar…

Angles are congruent if they have the same angle measure in d…

Parallel lines

Parallel planes

Skew lines

Segment

Coplanar lines that never intersect

Planes that do not intersect

Non coplanar lines that are not parallel and never intersect

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

Parallel lines

Coplanar lines that never intersect

Parallel planes

Planes that do not intersect

circle ,center

radius

chord

diameter

is the set of all points in a plane that are equidistant from…

a segment whose endpoint are the center and any point on the…

is a segment whose endpoints are on the circle

is a chord that contains the center of the circle

circle ,center

is the set of all points in a plane that are equidistant from…

radius

a segment whose endpoint are the center and any point on the…

acute angle

angle

angle bisector

center of rotation

an angle less than 90 degrees

formed by two rays with the same endpoint

ray that divides an angle into two congruent angles

the point about which a figure is rotated

acute angle

an angle less than 90 degrees

angle

formed by two rays with the same endpoint

Point

Line

Plane

Collinear

It has no size, is infinitely small, and has no location

Infinite length but no thickness and extends forever in two d…

Is a flat surface that extends forever

On the same line

Point

It has no size, is infinitely small, and has no location

Line

Infinite length but no thickness and extends forever in two d…

Adjacent Angles

Vertical Angles

Collinear

Coplanar

coplanar angles that have a common vertex and one common side…

two non-adjacent angles formed bu two intersecting lines

set of points or lines all on the same line

set of points or lines all on the same plane

Adjacent Angles

coplanar angles that have a common vertex and one common side…

Vertical Angles

two non-adjacent angles formed bu two intersecting lines

Trigonal Planar

Bent

Tetrahedral

Trigonal Pyramidal

Number of Electron Pairs: 3... Number of Lone Pairs: 0... Ball and…

Number of Electron Pairs: 2... Number of Lone Pairs: 2... Ball and…

Number of Electron Pairs: 4... Number of Lone Pairs: 0... Ball and…

Number of Electron Pairs: 3... Number of Lone Pairs: 1... Ball and…

Trigonal Planar

Number of Electron Pairs: 3... Number of Lone Pairs: 0... Ball and…

Bent

Number of Electron Pairs: 2... Number of Lone Pairs: 2... Ball and…

Circle

Center

Radius

Chord

The set of all points in a plane that are the same distance f…

The point inside a circle that is the same distance from all…

A segment with one endpoint at the center of the circle and t…

A segment whose endpoints are any two points on the circle

Circle

The set of all points in a plane that are the same distance f…

Center

The point inside a circle that is the same distance from all…

linear

bent

trigonal pyramidal

seesaw

AX1E1... AX1E2... AX1E3... AX2E3... 180 degree angles

AX1E2 pair>120 degree angle... AX2E2 104.5 degree angle

AX3E1 107.5 degree angle

AX4E1

linear

AX1E1... AX1E2... AX1E3... AX2E3... 180 degree angles

bent

AX1E2 pair>120 degree angle... AX2E2 104.5 degree angle

acute angle

acute triangle

angle

chord

an angle that measures less than 90 degrees

a triangle with three acute angles

two rays that meet at a common endpoint called the vertex

a line segment with both endpoints on the circle

acute angle

an angle that measures less than 90 degrees

acute triangle

a triangle with three acute angles

Trigonal Planar

Bent

Tetrahedral

Trigonal Pyramidal

Number of Electron Pairs: 3... Number of Lone Pairs: 0... Ball and…

Number of Electron Pairs: 3... Number of Lone Pairs: 1... Ball and…

Number of Electron Pairs: 4... Number of Lone Pairs: 0... Ball and…

Number of Electron Pairs: 4... Number of Lone Pairs: 1... Ball and…

Trigonal Planar

Number of Electron Pairs: 3... Number of Lone Pairs: 0... Ball and…

Bent

Number of Electron Pairs: 3... Number of Lone Pairs: 1... Ball and…

Point

Line

Plane

Segment

no size, no demension, just position

made up of an infinite number of points, extends in two direc…

a flat surface that extends in all directions without end

part of a line, has two end points

Point

no size, no demension, just position

Line

made up of an infinite number of points, extends in two direc…

Transversal

Congruent

Supplementary angles

Alternate interior angles

A line that crosses at least two other lines.

Having the same size and shape

Two Angles are Supplementary when they add up to 180 degrees.

angles between 2 lines and on opposite sides of a transversal

Transversal

A line that crosses at least two other lines.

Congruent

Having the same size and shape

parallelogram

rectangle

rhombus

square

a quad. with opposite sides parallel

a parallelogram with four right angles

a parallelogram with four congruent sides

a parallelogram with four congruent sides and four right angles

parallelogram

a quad. with opposite sides parallel

rectangle

a parallelogram with four right angles

point

line

ray

plane

a dot that represents an important spot on the line.

a line that goes on forever without ending

a line that goes in only one direction for ever

a line that goes through three points

point

a dot that represents an important spot on the line.

line

a line that goes on forever without ending

vertical angles

adjacent angles

segment

collinear points

two non adjacent angles formed by two intersecting lines

2 angles n the same plane w a common vertex amd a common side…

part of a line consisting of 2 points & all points b/t them

points that lie on the same line

vertical angles

two non adjacent angles formed by two intersecting lines

adjacent angles

2 angles n the same plane w a common vertex amd a common side…

inductive reasoning

conjecture

counter example

statement

reasoning that uses a number of specific examples to arrive a…

a concluding statement reached by using inductive reasoning a…

false example shows that its false if jk=kl then k is the mid…

a sentence that is either true or false

inductive reasoning

reasoning that uses a number of specific examples to arrive a…

conjecture

a concluding statement reached by using inductive reasoning a…

central angle

minor arc

major arc

semicircle

an angle whose vertex is the center of the circle

An arc of a circle whose measure is less than 180 degrees.

An arc of a circle whose measure is greater than 180 degrees.

half of a circle

central angle

an angle whose vertex is the center of the circle

minor arc

An arc of a circle whose measure is less than 180 degrees.