CK-12 Geometry - Second Edition

http://www.ck12.org Chapter 12. Rigid Transformations 12.2 Translations and Vectors Learning Objectives Graph a point, line, or ...

12.2. Translations and Vectors http://www.ck12.org Transformation:An operation that moves, flips, or changes a figure to create ...

http://www.ck12.org Chapter 12. Rigid Transformations From both of these examples, we see that a translation preserves congruenc ...

12.2. Translations and Vectors http://www.ck12.org Thecomponent formof ⇀ ABcombines the horizontal distance traveled and the ver ...

http://www.ck12.org Chapter 12. Rigid Transformations Solution:It would be helpful to graph 4 ABC. To translate 4 ABC, add each ...

12.2. Translations and Vectors http://www.ck12.org The vertices of 4 ABCareA(− 6 ,− 7 ),B(− 3 ,− 10 )andC(− 5 , 2 ). Find the ve ...

http://www.ck12.org Chapter 12. Rigid Transformations Verify that a translation is an isometry using the triangle from #15. If ...

12.2. Translations and Vectors http://www.ck12.org Review Queue Answers 1.y=− 2 x+ 17 Kite 3.y=− 2 x+ 5 4.y=^12 x− 5 ...

http://www.ck12.org Chapter 12. Rigid Transformations 12.3 Reflections Learning Objectives Reflect a figure over a given line. ...

12.3. Reflections http://www.ck12.org Solution:To reflect 4 ABCover they−axis they−coordinates will remain the same. Thex−coordi ...

http://www.ck12.org Chapter 12. Rigid Transformations Example 2:Reflect the letter “F′′over thex−axis. Solution:To reflect the l ...

12.3. Reflections http://www.ck12.org Solution:Here, the line of reflection is onP, which meansP′has the same coordinates.Q′has ...

http://www.ck12.org Chapter 12. Rigid Transformations Solution:The purple line isy=x. To reflect an image over a line that is no ...

12.3. Reflections http://www.ck12.org Solution:The purple line isy=−x. You can reflect the trapezoid over this line just like we ...

http://www.ck12.org Chapter 12. Rigid Transformations Which letter is a reflection over a horizontal line of the letter “b′′? ...

12.3. Reflections http://www.ck12.org 7.x−axis 8.y−axis 9.y=x ...

http://www.ck12.org Chapter 12. Rigid Transformations 10.y=−x 11.x= 2 12.y=− 4 13.y=−x ...

12.3. Reflections http://www.ck12.org 14.y=x Find the line of reflection of the blue triangle (preimage) and the red triangle (i ...

http://www.ck12.org Chapter 12. Rigid Transformations Plot 4 ABCon the coordinate plane. Reflect 4 ABCovery=1. Find the coordin ...

12.4. Rotations http://www.ck12.org 12.4 Rotations Learning Objectives Find the image of a figure in a rotation in a coordinate ...