Chapter Review. Skills and Concepts. Vocabulary Review. Resources. Chapter Review. Chapter

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1 hapter hapter eview hapter eview ocabular eview center of a regular polgon (p. 8) composition (p. 7) dilation (p. 8) enlargement (p. 8) glide reflection (p. 508) glide reflectional smmetr (p. 56) image (p. 70) isometr (p. 70) line smmetr (p. ) point smmetr (p. ) preimage (p. 70) reduction (p. 8) reflection (p. 78) reflectional smmetr (p. ) rotation (p. 8) rotational smmetr (p. ) smmetr (p. ) tessellation (p. 55) tiling (p. 55) transformation (p. 70) translation (p. 7) translational smmetr (p. 56) esources tudent dition tra kills and Word roblems ractice, h., p. 7 nglish/panish Glossar, p. 77 ostulates and heorems, p. 770 able of mbols, p. 76 Hchool.com For: ocabular quiz Web ode: auj-05 o complete each definition, find the appropriate word in the second column.. (n) is a change in position, shape, or size.dilation of a figure. F. (n) is a transformation in which the preimage. glide reflection and its image are congruent.. is an isometr in which a figure and its. tessellation image have opposite orientations.. is an isometr in which all points of a figure. isometr move the same distance in the same direction. G 5. (n) is a translation followed b a reflection in. reflection a line parallel to the translation vector. 6. (n) is a repeating pattern of figures that F. transformation completel covers a plane, without gaps or overlaps. 7. (n) is a transformation that proportionall G. translation reduces or enlarges a figure. ocabular and tud kills worksheet F panish ocabular and tud kills worksheet F Interactive etbook udio Glossar Online ocabular uiz kills and oncepts - and - Objectives o identif isometries o find translation images of figures o find reflection images of figures transformation of a geometric figure is a change in its position, shape, or size. n isometr is a transformation in which the preimage and image are congruent. transformation maps a figure onto its image. translation is an isometr that maps all points of a figure the same distance in the same direction. translation is an isometr that does not change orientation. panish ocabular/tud kills ocabular/tud Name lasskills ate : ocabular For use with hapter eview tud kill: When ou complete a puzzle such as a word search, remember to read the list of words carefull and completel. s ou identif each word in the word search, circle it and then cross off the word from the list. a special attention to the spelling of each word. omplete the word search. binomial interest translation factor common ratio median monomial sequence distributive standard form scatter plot variable polnomial outlier probabilit LL he second diagram shows a reflection of to across line r. reflection is an isometr in which a figure and its image have opposite orientations. composition of transformations is a combination of two or more transformations. ach transformation is performed on the image of the preceding transformation. r trinomial reciprocal degree sstems elimination substitution N O L N O M I L N L O L I M O N I O I I J I F O I M L I L M M L H M I I O O N I M N L O M I O I H O L L M N N N I O N I W I O L I W M N O N F I Z W W L L O M M O N I O O I N M earson ducation, Inc. ll rights reserved. G M L I hapter hapter eview 5 I I I G W 6 eading and Math Literac Masters lgebra 5

2 ... O same; rotation. opposite; reflection. same; translation. opposite; glide reflection 8. (7, ), (8, 6), (, 5). (, ), ( 6, 6), ( 0, 8) 0. (, ) (, + ). (, ) ( +, ) 5. F - Objective 6. o draw and identif rotation images of figures F se matrices to find the image of each tri for the given translation. 8. # with vertices (5, ), (6, ), (, ); translation: (, ) ( +, + ). # with vertices (0,-), (-, -), (-6, ); translation: (, ) ( -, + 7) Find a single translation that has the same effect as each composition. 0. (, ) ( - 5, + 7) followed b (, ) ( +, - 6). (, ) ( + 0, - ) followed b (, ) ( +, + 5) Given points (6, ), (, ), and (5, 0), draw k and its reflection image in each line.. ee margin.. the -ais. =. = he diagram shows a rotation of point about point through 8. rotation is an isometr that does not change orientation. op each figure and point. raw the image of each figure for the given rotation about. Label the vertices of the image ee left F Z Find the image of each point for a 0 rotation about the origin. 8. (5, ). (0, ) 0. (-, ). (7, 0). (-, -8) (, 5) (, 0) (, ) (0, 7) (8, ) ' 8. ee left. ' - Objective 7. o identif the tpe of smmetr in a figure Z Z figure has smmetr if there is an isometr that maps the figure onto itself. plane figure has reflectional smmetr, or line smmetr, if one half of the figure is a mirror image of its other half. figure that has rotational smmetr is its own image for some rotation of 808 or less. figure that has point smmetr has 80 rotational smmetr. ell what tpe(s) of smmetr each figure has. If it has rotational smmetr, state the of rotation. rotational; oint mmetr reflectional 5 hapter hapter eview 5

3 -5 Objective o locate dilation images of figures he diagram shows a dilation with center and scale factor n. dilation is a similarit n transformation because its preimage and image are similar figures. When the scale factor is greater than, the dilation is an enlargement. When the scale factor is between 0 and, the dilation is a reduction. In the coordinate plane, ou can use scalar multiplication to find the image of a figure under a dilation centered at the origin. dilation has center (0, 0). Find the image of each point for the scale factor given. 5. (0, ); 6. (-, 6); (.5, -); 0 (0, ) (, ) (5, 0) Find the image of each set of points for a dilation with center at the origin and the scale factor given. M( 5, 0), ( 0, 5), (0, 0), H(5, 0) 8. M(-, ), (-6, -), (0, 0), H(, ); scale factor 5. F(-, 0), (5, 0), N(-, -5); scale factor 5 5 F(, 0), (, 0), N(, ) earson ducation, Inc. ll rights reserved. lternative ssessment Name lass ate L lternative ssessment Form hapter how all our work. 6 0 K Find to the nearest tenth. 0 6 K surveor measures the of elevation to the top of a building to be 70. he surveor then walks 50 ft farther from the base of the tower and measures the of elevation to be 50. he surveor s -measuring 5.5 ft 50 ft device is 5.5 ft from the ground. How tall is the building, to the nearest foot? Geometr hapter Form est 5-6 Objectives o use a composition of reflections o identif glide reflections composition of reflections in two parallel lines is a translation. composition of reflections in two intersecting lines is a rotation. glide reflection is the composition of a glide (translation) and a reflection in a line parallel to the translation vector. he onl four isometries are reflection, translation, rotation, and glide reflection. For the figure at the left below, four isometr images are shown. ell whether orientations are the same or opposite. hen classif the isometr. 0. ee margin Objectives o identif transformations in tessellations and figures that will tessellate o identif smmetries in tessellations. #M has vertices (0, 5), (, ), and M(, 6). Find the image of #M where the translation is (, ) ( -, ) and the reflection is in the line =-. (, ), (0, 5), M(, 0) tessellation, or tiling, is a repeating pattern of figures that completel covers a plane, without gaps or overlaps. tessellation can have translational smmetr if there is a translation that maps the tessellation onto itself. If a tessellation can be mapped onto itself b a glide reflection, then the tessellation has glide reflectional smmetr. For each tessellation, (a) identif a transformation and the repeating figures, and (b) list the smmetries ee back of book hapter hapter eview 55 panish Name uarter est lass - Forms ate, LL earson ducation, Inc. ll rights earson reserved. ducation, Inc. ll rights reserved. hapter est uarter est - Forms, hapter 6 uarter est Forms, Graph quadrilateral. hen determine the most precise name for each Name quadrilateral. lass ate. (, ), (-, ), (-, 6), (, 6). (, ), (, 8), (5, ), (, -) hapter est. (-, ), (, ), (, 0), (-, 0). (0, 6), (, ), (0, -5), (-, ) Form Form hapter 6 Find in each parallelogram. Graph 5. quadrilateral. hen determine 6. the most precise name for 7. each quadrilateral. cm in.. (, ), (-, ), (-, 6), (, 6). (, ), (, 8), (5, ), (, -) z in. m. (-, ), (, ), (, 0), (-, 0). (0, 6), (, ), (0, -5), (-, ) 5 cm Find in each parallelogram. Find the values of the variables for each figure () 0. = 7-5, = + 5 ( 0) cm in. z () in. m 5 cm ( ) Find the values of the variables for each figure () 0. = 7-5, = + 5 () ( 0) () () ( 0) ( ) Give the coordinates for points and without using an new variables. hen. find the coordinates of the midpoint. of.. (). rect 5. isosceles trapezoid 6. rhombus () G (a, c) ( 0) F (a, b) ( a, 0) F (b, 0) (0, b) Give the coordinates for points and without using an G new (a variables. c, 0) hen find the coordinates of the midpoint of.. rect 5. isosceles trapezoid 6. rhombus G (a, c) F (a, b) Geometr hapter 6 Form est 7 ( a, 0) F (b, 0) (0, b) G (a c, 0) Geometr hapter 6 Form est 7 L 55

4 hapter hapter est hapter est Hchool.com For: hapter est Web ode: aua-05 h. est L dapted h. est L h. lternative ssessment panish h. est L panish h. lternative ssessment L Informal Geometr h. est, Forms & amiew -OM h. re-made est Make our own h. test Online hapter est at dapted hapter est hapter est earson ducation, Inc. ll rights reserved. Name lass ate hapter est hapter press sin, cos, and tan as ratios... Find the value of. ound lengths of segments to the nearest tenth and measures to the nearest degree Find the measure of the acute that each line makes with a horizontal line. ound our answers to the nearest tenth. 7. = - 8. = -. = = +. escribe each as it relates to the objects in the diagram a. b. c. d.. surveor measures the top of a building 50 ft awa from him. His -measuring device is ft above ground. he of elevation to the top of the building is 6. How tall is the building?. forest ranger looking out from a ranger s station can see a forest fire at a 5 of depression. he ranger s position is 00 ft above the ground. How far is it from the ranger s station to the fire? Form Geometr hapter Form est 7 55 L Find the coordinates of the vertices of the image of for each transformation. 0. ee margin.. reflection across the line =- O. translation (, ) ( - 6, + 8). rotation of 0º about the point (0, 0). dilation centered at (0, 0) with scale factor 5. glide reflection with translation (, ) (, + ) and reflection across the line = 0 6. reflection across the line = 7. rotation of 70º about (0, 0) 8. dilation centered at the origin with scale factor 5. glide reflection with translation (, ) ( -, ) and reflection across the line = 5 0. translation units right and unit down What tpe of transformation has the same effect as each composition of transformations?. translation (, ) ( +, ) followed b a reflection across the line =- glide reflection. translation (, ) ( +, + 8) followed b (, ) ( -, + ) translation. reflection across the line = 7, and then across the line = translation. reflection across the line =, and then across the line = + 5 rotation raw a figure that has each tpe of smmetr. 5. reflectional 6. rotational 7. point 5 7. ee back of book. What tpe(s) of smmetr does each figure have? 8.. rotational, reflectional 56 hapter hapter est rotational, point, reflectional 0. Writing Line m intersects H at N, and N = NH. Must H be the reflection image of across line m? plain. ee back of book.. escribe the smmetries of this tessellation. op a portion of the tessellation and draw an centers of rotational smmetr or lines of smmetr. ee back of book. oes each letter tessellate? If so, sketch a tessellation. If not, eplain wh it cannot tessellate.. ee back of book.... Find the image of k for a dilation with center (0, 0) and the scale factor given. ee back of book. 5. (-, ), (, -), (, ); scale factor 6. (0, 0), (-, ), (, 7); scale factor (0, 0), (, ), (, ) 7. he blue figure is a translation image of the red figure.write a rule to describe the translation. O (, ) ( ±, ) , 5 8. dilation with center (0, 0) and scale factor.5 maps (, -0) to (a, b). Find the values of a and b.. dilation maps nlmn to nlmn. Find the missing values. LM = 6 ft, LN = 6 ft, and MN = 5 ft; LM = ft, LN = 7 ft, and MN = 7 ft; scale factor = 7 6 ; ; 0. dilation with scale factor maps square onto square. he area of square is 5. Find the area of square..565 units. (, 0), (, ), (, 5), ( 5, ). (, 8), ( 5, 6), (, ), (, 7) 56. (0, ), (, ), (5, ), (, 7)., 0,,,,,, 5. (, ), (, ), (, ), ( 7, ) 6. (0, ), (, ), ( 5, ), (, 7) 7. (0, ), (, ), ( 5, ), (, 7) 8. (5, 0), (5, 0), (5, 5), (5, 5). (, 0), (, ), (, 5), (5, ) 0. (6, ), (, ), (6, 6), (0, )

5 tandardized est rep ING OMHNION tandardized est rep eading omprehension ead the passage below. hen answer the questions on the basis of what is stated or implied in the passage. Hanging a icture picture has a wire from side to side across its back. Hang the picture from one hook and it can easil swing, or slide into a tilt. se two hooks and the picture will hang level. Here is how to place two hooks on the wall to hang the picture level and precisel where ou want it. On our wall, mark two level points and where ou want the top corners of the picture. For eample, assume the back of a -in. wide picture is rigged as shown at the left and ou want the two hooks in. apart. t the right, the matching diagrams in the upper corners locate points and where hooks would hold the wire. etermine measurements as follows: alculate to find that = 5.5 in. =. alculate to find that =.5 in. =. hen = "5.5.5 <. in. =, so =.8 in. =. From points and on the wall, measure.5 in. towards each other and.8 in. down to find points and, respectivel. ttach picture hangers to support the wire at and, and hang our picture perfectl!. From the passage, what should ou learn about hanging a picture? How to use one hook so that ou can easil slide the picture to hang straight. How to use two hooks so that the picture hangs straight and where ou want it. How to use one hook so that the picture can easil swing, or slide into a tilt. How to use two hooks at the top corners.. How do ou calculate? F wire length 0. How do ou calculate? wire length tandardized est rep 7. Mark two level points on the wall where ou want the top corners of the picture. From these points, measure 8 in. in. 6 in. 6 in. in. -in. wire. Which theorem do ou use to calculate? G ri thagorean ri ri Midsegment 5. How do ou calculate? = + = 8. = = 6. What kind of quadrilateral is? Justif our answer. ect; it has right s. escribe how to locate the hooks for hanging. 7. picture is 0 in. wide. he hanging wire is in. long, attached at the sides of the picture, in. from the top. he hooks are in. apart. ee margin. 8. circular mirror has diameter in. he hanging wire is 8 in. long, attached at the endpoints of a diameter. he hooks are 0 in. apart. ee margin. towards each other and in. down. 8. Mark two level points on the wall where ou want widest part of the mirror. From these points, measure 6 in. towards each other and 6.7 in. up. hapter tandardized est rep 57 tudents must be able to etract information from reading passages, answer multiple-choice questions, and construct responses in order to be successful on current state and national assessments. o answer the questions, students appl skills and concepts from this chapter and previous chapters. Multiple hoice: Items 5 Free esponse: Items 6 8 esources est rep Workbook Grab & Go umulative eview amiew -OM tandardized est ractice rogress Monitoring ssessments uarter est Forms & L Forms & panish ssessment esources panish umulative eview panish uarter est Forms & panish umulative eview umulative eview earson ducation, Inc. ll rights reserved. Name lass ate umulative eview hapters For ercises, choose the correct letter.. Find the value of to the nearest tenth Find the magnitude and direction of the vector mi, 8 west of south.. mi, 8 south of east. 58. mi, 7 south of east.. mi, 7 south of east. which postulate or theorem are the tris congruent?. HL.... What is the eact length of?. 0". 5". 0". 5" 5. MNO. Find ON and...75,..., 5. 6,...75,. 6. he hpotenuse of an isosceles right tri is 6 ft long. What is the length of one leg?. 6". ".. 7. tri has measures of + 8, + 5, and 6 +. What are the measures of the s from smallest to largest?. 0, 58,., 7, 00. 8, 50,. 8, 5, 0 8. Which is the greatest in?. sin. cos. tan. tan Geometr hapter umulative eview O M N mi 50 mi LL 57