3-1. Standardized Test Prep. Multiple Choice. Short Response. Lines and Angles
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1 - Lines an Angles or Eercises, choose the correct letter. or Eercises, use the figure at the right.. Which line segment is parallel to GE? H G G E KI HI. Which two line segments are skew? I E an GE EI an GK J H K I GK an H HI an. Which line segment is parallel to plane GKJ? HI GE KI or Eercises, use the figure at the right.. Which is a pair of alternate interior angles? / an / / an / / an / / an / t u. Which angle correspons to /? / / / /. Which pair of angles are alternate eterior angles? I / an / / an / / an / / an /. Which pair of angles are same-sie interior angles? / an / / an / / an / / an /. escribe the parallel planes, parallel lines, an skew lines in a cube. raw a sketch to illustrate our answer. [] A cube has three sets of parallel planes. Each ege of the cube has three eges that are parallel to it an four eges that are skew in relation to it. [] unclear/incomplete escription or rawing OR one element missing [] incorrect or no response G A E H
2 - Properties of Parallel Lines or Eercises, choose the correct letter. or Eercises, use the figure at the right.. Which angle is congruent to /? / / / /. Which angle is not supplementar to /? / / / / f g z. Which can be use to prove irectl that / > /? Alternate Interior Angles Theorem orresponing Angles Theorem Same-Sie Interior Angles Postulate Alternate Eterior Angles Theorem. If m/, what is m/? or Eercises an, use the figure at the right.. What is the value of? ( ) ( ). What is the measure of /? H. Write a two-column proof of the Alternate Eterior Angles Theorem (Theorem -). r s Given: r s Prove: / > / [] r n s; given; l Ol; if lines are n, then corresp. ' are O; l Ol; vert. ' are O; l Ol; trans. prop. of O. [] some steps correct [] proof incorrect or absent
3 - Proving Lines Parallel or Eercises, choose the correct letter.. or what value of is e? A e ( ) q ( ) or Eercises an, use the figure below right.. Which statement proves that a b? G / is supplementar to /. / > / / is supplementar to /. / > /. Which statement proves that? / is supplementar to /. / > / a b / is supplementar to /. / > / or Eercises, use the figure at the right.. If / m, what is m/? G. or what value of is / m? A, ( ) m ( ). If / m, what is m/? H. Write a flow proof. [] partl incorrect, incomplete, or isorganize proof Given: / an / are supplementar. Prove: c [] incorrect or no proof [] c an are suppl. Given c an are suppl. ef. of linear pair Supplements of the same are. If alt. int. are, then lines are.
4 - Parallel an Perpenicular Lines or Eercises, choose the correct letter.. Which can be use to prove ' t? Transitive Propert of Parallel Lines Transitive Propert of ongruence Perpenicular Transversal Theorem onverse of the orresponing Angles Theorem. A carpenter is builing a frame. Which values of a an b will ensure that the sies of the finishe frame are parallel? H a an b a an b a an b a an b or Eercises an, use the map at the right.. If Aam t. is perpenicular to ertha r. an harles St., what must be true? Aam t. ' Ewar R. Aam t. ana La. ertha r. harles St. ana La. ' harles St.. Aam t. is perpenicular to harles St. an harles St. is parallel to Ewar R. What must be true? Aam t. ' Ewar R. ertha r. harles St. Aam t. ana La. ana La. ' harles St. s t a a b b b b a a Aam t. ertha r. harles St. ana La. Ewar R.. If a ' b, b ' c, c, an ' e, which is not true? a ' e a a c b. Write a paragraph proof. Given: a b, b c, an ' c Prove: a ' [] It is given that a n b an b n c, so b the Transitive Propert of Parallel Lines, a n c. It is given that ' c. Then, b the Perpenicular Transversal Theorem, a '. [] one step incorrect or incomplete [] incorrect or no response a b c
5 Name lass ate - Parallel Lines an Triangles Grie Response. What is the value of w?. What is the value of z?. What is the value of s?. What is the value of e?. What is the value of t on the truss of the brige? t w z ( s ) ( s ) s e Answers.....
6 - Equations of Lines in the oorinate Plane or Eercises, choose the correct letter.. What is the slope of the line passing through the points (, ) an (, )?. What is the correct equation of the line shown at the right?. The -intercept of a line is an the -intercept of the line is. What is the equation of the line? O (, ) (, ). What is the slope-intercept form of the equation ( )? ( ) I. Error Analsis A stuent has attempte to graph an equation that contains the point (, ) an has a slope of. a. What is the correct equation in slope-intercept form? b. What is the stuent s error on the graph? [] ; the stuent uses the wrong slope in the graph. The stuent s line has a slope of. [] wrong equation or incomplete eplanation [] incorrect or no response O (, ) (, )
7 - Slopes of Parallel an Perpenicular Lines or Eercises choose the correct letter.. Which pair of slopes coul represent perpenicular lines?,,. The lines shown in the figure at the right are parallel. perpenicular. neither parallel nor perpenicular. both parallel an perpenicular.. Two lines are perpenicular when the prouct of their slopes is. the prouct of their slopes is greater than. the have the same slope. their slopes are unefine., (, ) (, ). Which is the equation for the line perpenicular to an containing P(, )? I A, O (, ) (, ) ( ) Etene Response. Graph the vertices of A where A(, ), (, ), (, ), an (, ). a. Eplain how ou know the opposite sies of A are parallel. The have the same slopes. b. Eplain how ou know the ajacent sies of A are perpenicular. The prouct of their slopes is. c. What is the length of each sie, to the nearest inch, if each gri space is equal to in.? in.. What kin of figure is A? a square; [] four answers correct [] three correct [] two correct [] one correct [] no answers correct A O
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