Texas Instruments manual Geometry with the TI-84 Plus Silver Edition

Page 8

Geometry with the TI-84 Plus Silver Edition

Lines

Creation of primitive geometric objects as Points, Lines, Line Segments and many others is fun and easy using theCabri Jr. App for the TI-84 Plus Silver Edition.

Polygons

The information in this section is presented using screen shots from the StudyCardsand Cabri Jr.Apps for the TI-84 Plus Silver Edition.

Triangles

This section features theCabri Jr.App for the TI-84 Plus Silver Edition.

Equilateral: all sides and angles equal

Isosceles: two sides and angles equal

Right: one 90 degree angle

Example: Draw an Isosceles Triangle

 

 

 

 

 

 

 

 

1

 

 

 

2

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

3

 

 

 

4

 

 

 

 

 

 

 

 

Angles

Pythagorean Theorem

1.Create a segment

2.Find the middle of the segment

3.Trace a perpendicular line crossing the middle point

4.Trace a triangle using the two existing points of the segment and a point on the perpendicular line

Circles

This section features theCabri Jr.App for the TI-84 Plus Silver Edition.

 

 

Diameter = 2*(radius)

 

 

Circumference = π*(diameter)

Circle

 

Area = π*(radius) 2

Diameter

 

 

 

Chord

Area

Circle’s

Equation

Geometric Formulas

All Perimeters

 

Triangle

 

 

 

Rectangular Prism

Right Circular Cone

 

 

 

 

 

P = a+b+c+ ...

Perimeter

P = a+b+c

Surface

S = 2(hl+lw+hw)

Lateral

 

πr √

 

 

Square

 

Area

A =

1

bh

Volume

V = lwh

Surface

S =

r2+h2

 

 

Parallelogram

2

 

Sphere

 

Total

 

πr √

r2+h2+πr2

Perimeter

P = 4s

 

 

 

S = 4 πr2

Surface

S =

Area

A = s2

Perimeter

P = a+b+c+d

Surface

Volume

V =

 

1

πr2 h

Rectangle

 

Area

A = bh

Volume

V = 4 πr3

Frustum of a Cone

3

πh(r2+rR+R2)

Perimeter

P = 2l+2w

Trapezoid

 

 

 

 

3

Volume

V =

 

1

 

 

 

 

3

Area

A = lw

Perimeter

P = a+b+c+d

Right Circular Cylinder

Circular Sector

 

 

 

 

Lateral

S = 2 πrh

 

1

 

 

 

Circle

 

Area

A = (a+b)h

Area

A =

r2 ￿

 

Surface

 

 

2

Circumference C = 2 πr

 

2

Total

S = 2πrh + 2πr2

Circular Ring

 

π(R2– r2)

Area

A = πr 2

 

 

 

 

Surface

Area

A =

© Texas Instruments, 2007

 

 

 

 

Volume

V = πr2h

education.ti.com/CabriJr

 

 

 

 

 

 

Image 8
Contents Getting to Know Your TI-84 Plus Silver Edition Getting Started Using Your TI-84 Plus Silver Edition Defining or Editing a Function for Graphing TI-84 Plus Silver Edition Expressions, Menus, and GraphingEntering Expressions and Instructions All About Apps for the TI-84 Plus Silver Edition If you’ve ever wonderedGeneral Math with the TI-84 Plus Silver Edition Algebra with the TI-84 Plus Silver Edition More Algebra with the TI-84 Plus Silver Edition Definition of Slope Distance FormulaEquations of Lines Quadratic FunctionsGeometry with the TI-84 Plus Silver Edition Trigonometry with the TI-84 Plus Silver Edition Inverse Trigonometric FunctionsTrigonometric Identities Laws of Sines and CosinesMath References Metric Prefixes Greek Alphabet