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KHAN Academy Practice Homepage

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Citation I Citation II

Citation III

Verify the Properties of Rotations Reflections and Translations

(8GA1a-c)

Understand Congruency in Two-Dimensional Figures

(8GA2)

Describe the Effects of Dilations Translations Rotations amp

Reflections Using Coordinates (8GA3)

Describe Sequences of Transformations to Prove Two

Figures are Similar or Congruent (8GA4)

Establish Facts About Angle Sum Exterior Angles Transversals amp

the Angle-angle Criterion for Similarity of Triangles

(8GA5)

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R

Explore Translations by Investigating their Effects on Line Segments

Explore Reflections By Investigating Their Effects on Line Segments and

Angles

Explore Rotations by Investigating Their Effects on Line Segments and

Angles

Identify What Changes and What Stays the Same When Sliding a

Parallelogram

Identify What Changes and What Stays the Same When Reflecting a

Parallelogram

Identify What Changes and What Stays the Same When Rotating a

Quadrilateral

Verify the Properties of Rotations Reflections and Translations (8GA1 a-c)

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Verify the Properties of Rotations Reflections and Translations

(8GA1a-c)

Understand Congruency in Two-Dimensional Figures

(8GA2)

Describe the Effects of Dilations Translations Rotations amp

Reflections Using Coordinates (8GA3)

Describe Sequences of Transformations to Prove Two

Figures are Similar or Congruent (8GA4)

Establish Facts About Angle Sum Exterior Angles Transversals amp

the Angle-angle Criterion for Similarity of Triangles

(8GA5)

Return to Homepage

R

Explore Translations by Investigating their Effects on Line Segments

Explore Reflections By Investigating Their Effects on Line Segments and

Angles

Explore Rotations by Investigating Their Effects on Line Segments and

Angles

Identify What Changes and What Stays the Same When Sliding a

Parallelogram

Identify What Changes and What Stays the Same When Reflecting a

Parallelogram

Identify What Changes and What Stays the Same When Rotating a

Quadrilateral

Verify the Properties of Rotations Reflections and Translations (8GA1 a-c)

Return to Homepage

Explore Translations by Investigating their Effects on Line Segments

Explore Reflections By Investigating Their Effects on Line Segments and

Angles

Explore Rotations by Investigating Their Effects on Line Segments and

Angles

Identify What Changes and What Stays the Same When Sliding a

Parallelogram

Identify What Changes and What Stays the Same When Reflecting a

Parallelogram

Identify What Changes and What Stays the Same When Rotating a

Quadrilateral

Verify the Properties of Rotations Reflections and Translations (8GA1 a-c)

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Investigate Translations Apply the Properties of Congruence to

Reflections

Recognize Congruence by Analyzing the Sequence of Steps in a Reflection

Rotate a Point Using Angle Measures and Distances

Apply Properties of Congruence to Rotations

Demonstrate Congruence Using a Transformation Sequence

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Understand Congruency in Two-Dimensional Figures (8GA2)

Explore Dilations Understand How Translations Change

Coordinates

Understand How Reflections and Rotations Change Coordinates

Describe Translations Using Coordinates

Graph a Reflected Image Using Coordinates

Graph a Rotated Image Using Coordinates

Analyze Dilation of Parallelograms Graph a Dilated Image Using

Coordinates

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Describe the Effects of Dilations Translations Rotations and Reflections Using Coordinates (8GA3)

Prove Two figures are Congruent After a Series of Reflections Rotations or Dilations

Prove Two figures are Similar After a Dilations

Describe a Sequence of Transformations

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Decribe Sequences of Transformations to Prove Two Figures are Similar or Congruent (8GA4)

Relate Angles and Transversals

Understand the Properties of the Interior

Angles of Triangles

Understand the Relationship Between

Exterior Angles

Determine Similarity by Comparing Angles

Find the Measure of an Angle in a Triangle Using

the Other Two Angles

Find the Side Length of a Triangle Using Angle-

Angle Criterion

Find the Measurements of Corresponding Angles

Find the Measurements of Vertical and Adjacent

Angles

Find the Measurements of Alternate Interior and Alternate Exterior Angle

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Establish Facts About Angle Sum Exterior Angles Transversals and the Angle-Angle Criterion for Similarity of Triangles (8GA5)

Translations Congruence Similarity

and Dilation

Reflections Angle Relationships

Rotations Triangles

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Translations of Polygons Determining a

Translation for a Shape Determining a

Translation for a Shape

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Translations of Polygons Determining a

Translation for a Shape Determining a

Translation for a Shape

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Reflecting Line Across Another Line Example

Reflection and Mapping Points Example

Reflecting Line Across Another Line Example

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Rotation of Polygons Example

Rotating Segment About Origin Example

Performing a Rotation to Match Figures

Rotating Segment About Origin Example

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Testing Congruence by Transformations Example

Congruence by Transformation Example

Another Congruence by Transformation Example

Scaling Down a Triangle by Half

Testing Similarity Through Transformations

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Angles Formed by Parallel Lines and Transversals

Identifying Parallel and Perpendicular Lines

Figuring Out Angles Between Transversal and Parallel Lines

Using Algebra to Find Measures of Angles Formed

from Transversal

Find Measure of Complementary Angles

Find Measure of Supplementary Angles

Using Algebra to Find the Measures of Vertical Angles

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Proof Sum of Measures of Angles in a Triangle are 180

Triangle Angle Example 1

Triangle Angle Example 2 Triangle Angle Example 3

Challenging Triangle Angle Problem

Finding More Angles

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Transformations Congruence amp Similarity

Angle Relationships

ldquoLee ldquoGreat God General Hood where is your splendid divisionrdquo Hood ldquoThey are lying on the field where you sent themrdquo John B Hood in response to Leersquos question ldquoGreat God General Hood where is your splendid divisionrdquo From Taken at the Flood Robert E Lee amp Confederate Strategy in the Maryland Campaign of 1862 by Joseph L Harsh Kent The Kent State University Press 1999

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Exploring Rigid Transformations and

Congruence Translations of Polygons

Properties of Rigid Transformations

Rotation of Polygons

Exploring Angle-Preserving Transformations and

Similarity

Performing Transformations on the Coordinate Plane

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Exploring Rigid Transformations and

Congruence Translations of Polygons

Properties of Rigid Transformations

Rotation of Polygons

Exploring Angle-Preserving Transformations and

Similarity

Performing Transformations on the Coordinate Plane

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Congruent Angles Finding Angles Measures 1

Finding Angles Measures 2 Equation Practice with

Vertical Angles

Parallel Lines 1 Equations Practice with

Congruent Angles

Equation Practice with Angle Addition

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Transformations Translations Congruency amp Similarity

Transformations Reflections Dilation

Transformations Rotations Triangles

Return to Homepage

ldquoSoldiers you fought well on Sunday but today you must fight harderrdquo

DH Hill to the soldiers of Rodes Brigade prior to the Union attacks DH Hill exhortation from obituary of Lt John D Perry 6th Alabama Selma Reporter Dec 18 1862

From ldquoIt Appeared As Though Mutual Extermination Would Put a Stop to the Awful Carnage Sharpsburgrsquos Bloody Lanerdquoby Robert K Krick The Antietam Campaign Ed Gary Gallagher Chapel Hill The University of North Carolina Press 1999

Rosebrock James ldquoThe Sunken Roadrdquo Web blog post Antietam Voices 22 December 2011 Web 26 January 2015

What is a Transformation What is a Translation

What Properties of a Figure Stay the Same After a

Translation

How Do You Use Coordinates to Translate a Figure Horizontally

How Do You Use Coordinates to Translate a Figure Vertically

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What is a Transformation What is a Translation

What Properties of a Figure Stay the Same After a

Translation

How Do You Use Coordinates to Translate a Figure Horizontally

How Do You Use Coordinates to Translate a Figure Vertically

Return to Homepage

What is a Reflection

How Do You Use Coordinates to Reflect a Figure Over the X-axis

How Do You Use Coordinates to Reflect a Figure Over the Y-axis

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What is a Rotation How Do You Rotate a Figure 90

Degrees Around the Origin

How Do You Rotate a Figure 180 Degrees Around the Origin

How Do You Rotate a Figure 270 Degrees Clockwise Around the

Origin

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What Does Congruent Mean What Are Similar Figures

How Do You Identify Corresponding Parts in Congruent

Triangles How Do You Identify a Similarity

How Do You Find Missing Measurements of Similar Figures Using a Scale Factor

How Do You Find Scale Factor in Similar Figures

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What is a Dilation

How Do You Make a Figure Larger Using a Dilation

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How Do You Find a Missing Angle in a Triangle

What is the Triangle Sum Theorem

How Do You Find a Missing Angle in an Isosceles Triangle

How Do You Find Missing Angles in an Isosceles Triangle Using Right

Triangles

How Do You Find a Missing Angle in a Right Triangle

How Do You Find a Missing Angle in a Triangle with Variables

How Do You Find a Missing Angle in a Triangle if You Have a Ratio of Their

Measures

How Do You Find Missing Angles in a Transversal Diagram

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Sports Geometry Geometry 3-2 Angles Formed by

Parallel Lines and Transversals

Geometry 1-7 Transformations in the Coordinate Plane

Transversals

Translations ndashKonst Math Vertical and Adjacent Angles

Math Antics ndash Angle Basics Complementary and

Supplementary Angles

Math Antics ndash Angles amp Degrees Complementary amp

Supplementary Angles by Shmoop

Return to Homepage

ldquohellipthis is the time that tries the souls of men Standing inactive conscious of unseen danger with bullets whistling over and around them the increasing rattle of musketry in front with now and then the ominous shriek of a shell as it tears through the ranks taking out perhaps a file of menhellipThe strain upon the men is terrible It takes more than brute courage to make him stand There must be some higher nobler feeling to prompt him or he will run in this moment of his great trialrdquo W D Pritchard of Co I 1st Tex describes the tension of waiting under fire From ldquoFirst Texas in the Cornfieldrdquo by George E Otott The Maryland Campaign of 1862 Civil War Regiments A Journal of the

American Civil War Vol 5 No 3 Campbell CA Savas Publishing Company 1998

Transformations Congruency amp Similarity

Dilations Angle Relationships

ldquoHe was perfectly conscious of his situation and bore his pain with heroic fortitude saying to his friend Mussey with almost his last breath lsquoI am willing to die Tell my father and friends I fought and died for my countryrdquo A soldier recalls the passing of Gustavus Sargent at Antietam From ldquoThe Dread Reality of Warrdquo Alan D and Maureen Gaff Giants in Their Tall Black Hats ndash Essays on the Iron Brigade Bloomington Indiana University Press 1998

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Identify Reflections Rotations and Translations

Translations Graph the Image

Reflections Graph the Image Rotations Graph the Image

Translations Find the Coordinates Reflections Find the Coordinates

Rotations Find the Coordinates

Return to Homepage

Identify Reflections Rotations and Translations

Translations Graph the Image

Reflections Graph the Image Rotations Graph the Image

Translations Find the Coordinates Reflections Find the Coordinates

Rotations Find the Coordinates

Return to Homepage

Similar and Congruent Figures Congruent Figures Side Lengths and

Angle Measures

Congruence Statements and Corresponding Parts

Similar Figures Side Lengths and Angle Measures

Similar Solids

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Dilations Graph the Image

Dilations Find the Coordinates

Return to Homepage

Identify Complementary Supplementary Vertical Adjacent and Congruent

Angles

Find Measures of Complementary

Supplementary Vertical and Adjacent Angles

Transversal of Parallel Lines Find Missing Angles in

Triangles and Quadrilaterals

Interior Angles of Polygons Congruent Triangles SSS SAS

and ASA

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Transformations Composition Transformations Dilation

Transformations Reflection Transformations Rotation

Transformations Translation

ldquoBeyond the hollow ground the green cornfield swayed and moved although there was no wind The glint of bayonets could be seen here and there amid the leafage and long tearing volleys came out of the corn while wreaths of yellowish-white smoke drifted up above it as if the whole field were steamingrdquo Bruce Catton Catton describing the cornfield From Mr Lincolnrsquos Army by Bruce Catton New York Anchor Books 1990

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Math RockshelliprdquoGeometry is Killa-Hotrdquo ndash The Ron Clark Academy

Triangle Style by Mr Rogers

SSS SAS ASA AAS (LPHS Math Parody Video of Jump On It)

Colin Dodds ndashGeometric Transformations (Math Song)

Motion Geometry Rotations Reflections and Translations

Geometry Transformations Video

Congruency and Similarity Geometry Found in the Real World

Fun Way to Learn About Geometry Geometry Help ndash Transformations ndash

Math Class Heroes

ldquoNone of the bags are marked Union or Confederate This memorial honors those who paid the last full measure of devotion on the altar of freedomrdquo said Tom Riford president and CEO of Hagerstown-Washington County Convention and Visitors Bureau ldquoIt is awe inspiring You donrsquot realize what 23000 lives are until you get a visual representation rdquo said Tom Jones acting chief ranger at Antietam National Battlefield Gast Phil ldquoSaturdayrsquos Antietam Memorial Illumination Each of the 23110 represents a soulrdquo Web blog post The Civil War Picket 5 December 2013 Web 26 January 2015

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httpswwwgooglecomsearchsite=amptbm=ischampsource=hpampbiw=1366ampbih=643ampq=battle+of+antietamampoq=battle+of+anampgs_l=img100l1022235911093931611233010261510j1110msedr01ac161img016645t08U1HZXhnAtbm=ischampq=battle+of+antietam+luminariesampimgdii=_ampimgrc=-2ijQJM6oZ1rjM253A3BAC9VHagp4uke8M3Bhttp253A252F252Fimagesfineartamericacom252Fimages-medium-large252Fnear-bloody-lane-92-judi-quellandjpg3Bhttp253A252F252Ffineartamericacom252Ffeatured252Fnear-bloody-lane-92-judi-quellandhtml3B9003B591

httpswwwgooglecomsearchsite=amptbm=ischampsource=hpampbiw=1366ampbih=643ampq=antietam+at+duskampoq=antietam+at+duskampgs_l=img12255926675028898169072071526990msedr01ac161img610488_sue6v1TOwgtbm=ischampq=antietam+illuminationampimgdii=_ampimgrc=2x_7piNCrlWsrM253A3BJztxFAtT0M2MsM3Bhttp253A252F252Fwwwhagerstownmagazinecom252Fuploads252Fimages252FAI1mjpg3Bhttp253A252F252Fwwwhagerstownmagazinecom252Farticledetailaspx253Fid253D10543B4503B375

httpswwwgooglecomsearchsite=amptbm=ischampsource=hpampbiw=1366ampbih=643ampq=battle+of+antietamampoq=battle+of+anampgs_l=img100l1022235911093931611233010261510j1110msedr01ac161img016645t08U1HZXhnAtbm=ischampq=battle+of+antietam+luminariesampimgdii=JT_NVa0ZLwdrdM3A3BgflnrYKSjWvorM3BJT_NVa0ZLwdrdM3Aampimgrc=JT_NVa0ZLwdrdM253A3B84rg9DJCyZ7poM3Bhttp253A252F252Fimagesfineartamericacom252Fimages-medium-large252Fantietam-panorama-judi-quellandjpg3Bhttp253A252F252Ffineartamericacom252Ffeatured252Fantietam-panorama-judi-quellandhtml3B9003B514

httpswwwgooglecomsearchsite=amptbm=ischampsource=hpampbiw=1366ampbih=643ampq=antietam+illuminationampoq=antietam+luampgs_l=img120l2j0i10i24j0i24201751610769711902201456198j190msedr01ac161img011633mat1Kl504Y4imgdii=_ampimgrc=8Hfucd4g35AetM253A3BThFtiGH-cb4y2M3Bhttp253A252F252F1bpblogspotcom252F_qLg9tvvRpYE252FTPsFFhDpaLI252FAAAAAAAARJw252FZISfKBB1Yhw252Fs1600252FAntietam2jpg3Bhttp253A252F252Fcraig365photoblogspotcom252F2010252F12252Fantietam-battlefieldhtml3B5003B333

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httpswwwgooglecomsearchsite=amptbm=ischampsource=hpampbiw=1366ampbih=643ampq=antietam+at+duskampoq=antietam+at+duskampgs_l=img12255926675028898169072071526990msedr01ac161img610488_sue6v1TOwgtbm=ischampq=antietam+at+sunsetampimgdii=_ampimgrc=ZNlHGScjb1xqvM253A3Bl7H4BI1K2f46AM3Bhttp253A252F252Fimagesfineartamericacom252Fimages-medium-large-5252Fsky-fire-128th-pennsylvania-volunteer-infantry-a1-cornfield-avenue-sunset-antietam-michael-mazaikajpg3Bhttp253A252F252Ffineartamericacom252Ffeatured252Fsky-fire-128th-pennsylvania-volunteer-infantry-a1-cornfield-avenue-sunset-antietam-michael-mazaikahtml3B9003B571

httpswwwgooglecomsearchsite=amptbm=ischampsource=hpampbiw=1366ampbih=643ampq=antietam+illuminationampoq=antietam+luampgs_l=img120l2j0i10i24j0i24201751610769711902201456198j190msedr01ac161img011633mat1Kl504Y4imgdii=_ampimgrc=BpfhUUEtGJy_dM253A3BleQ_p3oJ5-02pM3Bhttp253A252F252Fwwwnpsgov252Fanti252Fimages252F8DE3E380-1DD8-B71C-0703E5B720A7890Djpg3Bhttp253A252F252Fwwwnpsgov252Fanti252F3B9603B241

httpswwwgooglecomsearchsite=amptbm=ischampsource=hpampbiw=1366ampbih=643ampq=antietam+luminariesampoq=antietam+luampgs_l=img100l2j0i10i24j0i2462339364011812119022079507990msedr01ac161img011525942nhe9ZN2Mtbm=ischampq=antietam+sunset+serviceampimgdii=_ampimgrc=mv8PW-RtqBzY1M253A3BU2AHWEMiW9VNzM3Bhttp253A252F252Ffarm9staticflickrcom252F8446252F7997427781_9394ac62fc_mjpg3Bhttp253A252F252Fflickrhivemindnet252FTags252Fmemorialillumination252FInteresting3B10243B683

httpswwwgooglecomsearchsite=amptbm=ischampsource=hpampbiw=1366ampbih=643ampq=antietam+illuminationampoq=antietam+luampgs_l=img120l2j0i10i24j0i24201751610769711902201456198j190msedr01ac161img011633mat1Kl504Y4imgdii=_ampimgrc=Ezqq_ryaGJIczM253A3BSroUyx37vm_85M3Bhttp253A252F252Fftqncom252Fy252Fdc252F1252FS252FW252Ft252F1252FAntietam-Illumination-2jpg3Bhttp253A252F252Fdcaboutcom252Fod252Fspecialevents252Fss252FAntietam-Illuminationhtm3B6403B427

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httpswwwgooglecomsearchsite=amptbm=ischampsource=hpampbiw=1366ampbih=643ampq=antietam+illuminationampoq=antietam+luampgs_l=img120l2j0i10i24j0i24201751610769711902201456198j190msedr01ac161img011633mat1Kl504Y4imgdii=_ampimgrc=B4Xuk19hwBh3bM253A3Bv8VpZjQvUg6xgM3Bhttp253A252F252Finsidioustomatoescom252Fwp-content252Fuploads252F2013252F02252FAntietam-1jpg3Bhttp253A252F252Finsidioustomatoescom252Fantietam-illumination252F3B9403B623

httpswwwgooglecomsearchsite=amptbm=ischampsource=hpampbiw=1366ampbih=643ampq=antietam+at+duskampoq=antietam+at+duskampgs_l=img12255926675028898169072071526990msedr01ac161img610488_sue6v1TOwgtbm=ischampq=antietam+illuminationampimgdii=_ampimgrc=IyVAK64m8Lo8kM253A3B6vtpi4PMUE5R8M3Bhttp253A252F252Fmedianjcom252Fstar-ledger252Fphoto252F2012252F09252F-28724d8046e6919cJPG3Bhttp253A252F252Fphotosnjcom252Fstar-ledger252F2012252F09252Fbattle_of_antietam_150_years_l_7html3B6403B426

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