CK-12 Geometry-Concepts

http://www.ck12.org Chapter 12. Rigid Transformations 10. 90◦ 11. 270◦ 12. 180◦ ...

12.4. Rotations http://www.ck12.org 13. 270◦ 14. 90◦ Algebra ConnectionFind the measure ofxin the rotations below. The blue figu ...

http://www.ck12.org Chapter 12. Rigid Transformations 16. 17. Find the angle of rotation for the graphs below. The center of rot ...

12.5. Reflections http://www.ck12.org 12.5 Reflections Here you’ll learn what a reflection is and how to find the coordinates of ...

http://www.ck12.org Chapter 12. Rigid Transformations Common Reflections Reflection over they−axis:If(x,y)is reflected over the ...

12.5. Reflections http://www.ck12.org A( 4 , 3 )→A′(− 4 , 3 ) B( 7 ,− 1 )→B′(− 7 ,− 1 ) C( 2 ,− 2 )→C′(− 2 ,− 2 ) Example C Refl ...

http://www.ck12.org Chapter 12. Rigid Transformations The purple line isy=x. To reflect an image over a line that is not vertica ...

12.5. Reflections http://www.ck12.org Vocabulary Atransformationis an operation that moves, flips, or otherwise changes a figure ...

http://www.ck12.org Chapter 12. Rigid Transformations Answers: Here, the line of reflection is onP, which meansP′has the same c ...

12.5. Reflections http://www.ck12.org Reflect each shape over the given line. 3.y−axis 4.x−axis 5.y= 3 6.x=− 1 ...

http://www.ck12.org Chapter 12. Rigid Transformations Find the line of reflection of the blue triangle (preimage) and the red tr ...

12.5. Reflections http://www.ck12.org Reflect 4 ABCovery=1. Find the coordinates of 4 A′B′C′. Reflect 4 A′B′C′overy=−3. Find th ...

http://www.ck12.org Chapter 12. Rigid Transformations 12.6 Composition of Transformations Here you’ll learn how to perform a com ...

12.6. Composition of Transformations http://www.ck12.org Composition of Transformations Acomposition of transformationsis to per ...

http://www.ck12.org Chapter 12. Rigid Transformations A( 8 , 8 )→A′′(− 8 , 0 ) B( 2 , 4 )→B′′(− 2 ,− 4 ) C( 10 , 2 )→C′′(− 10 ,− ...

12.6. Composition of Transformations http://www.ck12.org Example D Copy the figure below and reflect it overl, followed bym. The ...

http://www.ck12.org Chapter 12. Rigid Transformations Vocabulary Atransformationis an operation that moves, flips, or otherwise ...

12.6. Composition of Transformations http://www.ck12.org D( 3 ,− 1 )→D′(− 3 , 1 ) E( 8 ,− 3 )→E′(− 8 , 3 ) F( 6 , 4 )→F′(− 6 ,− ...

http://www.ck12.org Chapter 12. Rigid Transformations of rotation is 90◦clockwise or 270◦counterclockwise. The correct answer is ...

12.6. Composition of Transformations http://www.ck12.org Perform a glide reflection over they−axis and down 5 units. Write the ...