Practice 8-1. Translations. Use arrow notation to write a rule that describes the translation shown on each graph.

Transcription

1 ame lass ate Practice 8-1 Translations Use arrow notation to write a rule that describes the translation shown on each graph Pearson ducation, Inc., publishing as Pearson Prentice Hall. ll rights reserved. op #P. Then graph the image after each translation. List the coordinates of each image s vertices.. left units, down units 5. right units, down 1 unit. left units, up 3 units op ~RSTU. Then graph the image after each translation. List the coordinates of each image s vertices. 7. right 1 unit, down units 8. left 3 units, up 0 units 9. right units, up units Use the graph at the right for ercises 10 and rectangle has its vertices at (1, 1), (, 1), (, 5), and P(1, 5).The rectangle is translated to the left units and down 3 units. What are the coordinates of,,, and P? Graph the rectangles P and P. U R P T S 11. Use arrow notation to write a rule that describes the translation of P to P. Practice ourse 3 Lesson

2 ame lass ate Practice 8- Reflections and Smmetr How man lines of smmetr can ou find for each letter? Pearson ducation, Inc., publishing as Pearson Prentice Hall. ll rights reserved. 1. W. X 3. H. T Graph the given point and its image after each reflection. ame the coordinates of the reflected point. 5. (5, ) over the. (3, ) over the vertical dashed line horizontal dashed line 7. (5, 0) over the -ais 8. (3, ) over the -ais k has vertices (, 1), (3, 5), and (, ). Graph k and its image, k, after a reflection over each line. ame the coordinates of,, and. 9. the -ais 10. the line through (1, ) 11. the -ais and (1, ) Fold our paper over each dashed line. re the figures reflections of each other over the given line? Practice ourse 3 Lesson 8-35

3 ame lass ate Practice 8-3 Rotations Graph each point. Then rotate it the given number of degrees about the origin. Give the coordinates of the image. 1. V(, 3); 90. (, 5); V(0, 5); 180. V(3, ); Graph #RST with vertices R(1, 3), S(, ), and T(, 5). Graph the image formed b rotating the triangle about the origin b each angle. Pearson ducation, Inc., publishing as Pearson Prentice Hall. ll rights reserved. a 90 b 180 c 70 etermine if each figure could be a rotation of the figure at the right. For each figure that could be a rotation, tell what the angle of rotation appears to be Practice ourse 3 Lesson

4 ame lass ate Practice 8- Transformations and ongruence The three figures in each diagram are congruent. escribe the sequence of transformations that maps the original figure onto the final image. Pearson ducation, Inc., publishing as Pearson Prentice Hall. ll rights reserved. 1. L L L. F etermine whether the two figures in each diagram are congruent. If the figures are congruent, tell what sequence of transformations will map one figure onto the other. Then write a congruence statement. If the are not congruent, eplain wh. 3. R S Q T R Q S T F. F Practice ourse 3 Lesson 8-39

5 ame lass ate Practice 8-5 Transformations and ongruence Graph quadrilateral with the given vertices. Find the coordinates of the vertices of its image after a dilation with the given scale factor. 1. (, ), (3, ), (3, ), (, );. (, 3), (0, ), (, ), (, 5); Pearson ducation, Inc., publishing as Pearson Prentice Hall. ll rights reserved. Quadrilateral is a dilation image of quadrilateral. Find the scale factor. lassif each dilation as an enlargement or a reduction. 3. scale factor scale factor triangle has coordinates (, ), (, ), and (1, 1). Graph its image after a dilation with scale factor 3. Give the coordinates of, and the ratio of the areas of the figures and. 5. Practice ourse 3 Lesson 8-5 1

6 ame lass ate Practice 8- Transformations and Similarit 1. You and a friend decide to start a lawn cutting business. You use a graphics program to make a fler advertising our business. You choose a picture for our fler and place it on the top, left of the computer screen. The size of the picture on our screen is 1 cm wide. It looks much too large, so ou reduce it to cm wide. You then center the picture both horizontall and verticall on the page. escribe the sequence of transformations that maps the original picture on the fler to the final version. Pearson ducation, Inc., publishing as Pearson Prentice Hall. ll rights reserved. The two figures in each diagram are similar. escribe the sequence of two transformations that maps the original figure onto the final image Practice ourse 3 Lesson 8-3