LESSON 10 3 TRANSFORMATIONS. Reflection. Daily Do from last class Homework Answers 10 2 B. Translation. Dilation ABC DEF. length of AC? m<f? m<a?

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1 Dail Do from last class Homework Answers 10 2 B C F E <L 2. LP 3. AE 4. <D. HM ft <P 7. ON 8. <T A ABC DEF D m<f? Possible answers are: m<a? length of AC? 14. GEF 1. HAF 16. DEA 17. CBD 18. HED 19. ABE LESSON 10 3 TRANSFORMATIONS Translation Reflection Dilation 1

2 Objective: To be able to translate coordinates on a graph using rules to come up with the image points. To be able to reflect coordinates over the or ais on a graph using rules to come up with image points. To be able to dilate a shape on a graph using rules applied to coordinates to come up with the image points. Virtue/Skill: Much of nature and things ou see ever da are made up of reflections, translations, and dilations. You are a reflection and a dilation and a translation. Da 1 Translations 2

3 TRANSFORMATIONS Transformation- A change in the position, shape, or size of a figure. Image- Translation- The new figure ou get after a transformation. Ever corresponding point on the figure after the transformation. The image of A is A 1 slide the figure from one position to another without turning it. Each of the dotted figures are images of the black figure. Describe how each was translated. Using arrow notation to write a rule. Eample: 1) Write a rule that would move a point 3 units to the right and units down. (, ) 2) Write a rule that would move a point 2 units right and 6 units down. (, ) 3) Write a rule that would move a point 8 units to the left. (, ) 3

4 Graph the given point then the image of each point after the given transformation. 4) A(4, 6) Translate left 3 units and down 2 units. ) B(, 2) Translate right 9 units and up 1 unit. 6) C(8, 3) (, ) (+0, +4) 7) (a) Graph triangle XYZ with vertices X( 6, 6) Y( 2, 1) and Z( 2, 6). (b) Graph the image of triangle XYZ after a translation of 7 units to the right and 4 units up. (c) Give the coordinates of the image. 4

5 8) (a) Graph quadrilateral DEFG with vertices D(2, 2) E(3, 4) F(8, 4) and G(7, 2). (b) Graph the image of quadrilateral DEFG after a translation of 3 units to the left and 7 units down. (d) Give the coordinates of the image. 9) (a) If ou begin at 3ο latitude and 120 ο longitude what transformation will get ou to 40 ο latitude and 80 ο longitude? (b) What state did ou begin at? (c) What state did ou end at?

6 Homework: Worksheet 10-3 Part 1 Da 2 REFLECTIONS 6

7 10 3 Transformations 2016.notebook B Louise Ro on B adwriter on B g*s*c on A figure has line smmetr if a line can be drawn Line down the figure so that it divides the figure into Smmetr (Reflectional mirror images. Smmetr) Draw the line(s) of smmetr on each figure. If there are none, write none. 1) 4) 7) Z 2) 3) ) 6) 8) A 9) B MOM 7

8 Line Reflection (FLIP) A transformation that creates figures which are mirror images. Rule for a reflection in the: ais ais (, ) (, ) (, ) (, ) Give the coordinates of the image of each point after a reflection in ais indicated. 10) (, 7) ; ais 11) (3, 4) ; ais 12) ( 8, 2) ; ais 13) (, 1) ; ais 14) (a) Graph triangle ABC with vertices A( 7, 6), B( 2, 1), and C( 7, 1). (b) Graph the image of triangle ABC after a reflection over the ais. (c) Give the coordinates of the image. 8

9 1)(a) Graph quadrilateral WXYZ with vertices W(1, 6), X(2, 1), Y(8, 1), and Z(7, 6). (b) Graph the image of WXYZ after a reflection over the ais. (c) Find the area of quadrilateral WXYZ. 16) (a) Graph the reflection of triangle DEF over the ais. (b) Give the coordinates of the image. D E F 9

10 Homework: Worksheet 10-3 Part 2 Da 3 Dilations 10

11 Dilation An enlargement or shrinking of a figure b a given scale factor. Produces similar figures. If the center of dilation is the point of origin (0,0) then find the coordinates of the new image b multipling the coordinates b the scale factor. Give the coordinates of the image of triangle ABC with vertices A(12, 9), B(12, 6), and C(18, 9) after a dilation of: 1) Scale factor of 2. 2) Scale factor of 1/3. 3) (a) Graph quadrilateral WXYZ with vertices W( 2, 2), X(3, 2), Y(3, 2), and Z( 2, 2). (b) Give the coordinates of the image of WXYZ after a dilation centered at the origin with a scale factor of 3. (c) Graph the image. (d) How do the perimeters of the figures compare? 11

12 3) (a) Graph quadrilateral WXYZ with vertices W( 6, 3), X(3, ), Y(4, 0), and Z( 2, 1). (b) Give the coordinates of the image of WXYZ after a dilation centered at the origin with a scale factor of 1 3 Review of Transformations 12

13 Which transformation is the onl transformation that does not preserve size? How do the perimeters of figures compare after a dilation with a scale factor of 2? 1) Place the name of each transformation net to the corresponding picture. ahoo images ahoo images ahoo images ahoo images ahoo images Dilation Translation Rotation Line Reflection 13

14 Homework: Workbook