ࡱ> {}zo Ȱbjbj rr!**4 !aaaKMMMMMM$`q9eOWT aeeq !5rrre !KreKrrRۊ!`GY?Uf6Ӊ70gF0ۊۊ\abrc1daaaqqmaaaeeeeaaaaaaaaa* J: Geometry 1-#8 Name: ____________________________ Ch. 1 Review Period: ____ Sept 9. 10 2014 Vocabulary: Be able to define or describe each term. Which are the building blocks of geometry? Point Line Plane Ray Segment Collinear points Coplanar points Congruent Acute angle Supplementary angles Complementary angles Obtuse angle Right angle Perpendicular Lines Angle- Postulates: The intersection of two lines is __________ The intersection of two planes is ____________ Through two points there is __________________. Through three non-collinear points there is ______________________. If point R is between points P and Q on a line, then _________________________________ If point S is in the interior of (PQR, then _________________________________ * Draw figures for the last two postulates. Lines, Segments, Rays, and Angles a) Name the line four different ways. b) Draw  EMBED Equation.DSMT4 c) Draw  EMBED Equation.DSMT4 d) Draw  EMBED Equation.DSMT4  with a protractor such that  EMBED Equation.DSMT4  e) Draw three collinear points A, B, and C.f) Name the plane two different ways. Circle the statements that are true and use correct notation for each diagram. Cross out the incorrect statements. Make sure you understand the difference between = & (,  EMBED Equation.DSMT4 &  EMBED Equation.DSMT4 , and  EMBED Equation.DSMT4  &  EMBED Equation.DSMT4 . a)    EMBED Equation.DSMT4 ,  EMBED Equation.DSMT4 ,  EMBED Equation.DSMT4 ,  EMBED Equation.DSMT4 cm,  EMBED Equation.DSMT4 cm b)   EMBED Equation.DSMT4   EMBED Equation.DSMT4   EMBED Equation.DSMT4   EMBED Equation.DSMT4   EMBED Equation.DSMT4   EMBED Equation.DSMT4   EMBED Equation.DSMT4 Use the figure to answer the questions.   a) ____________ = 30 b) __________  EMBED Equation.DSMT4  ____________ c)  EMBED Equation.DSMT4  EMBED Equation.DSMT4 __ __ __ d)  EMBED Equation.DSMT4 _____ e)  EMBED Equation.DSMT4 _____ f) __________ & ___________ are supplementary angles. Planes a) Name plane that represents the top of the box. b) Name the intersection plane SVW and plane STX. c) Name another point on plane SWX. d) Name the intersection plane VUY , plane TUX, and plane SVT. e) Name the planes whose intersection is  EMBED Equation.DSMT4 . Point R is between T and V on  EMBED Equation.DSMT4 . Sketch a figure for each problem. a) TR = 15 cm, TV = 47 cm. Find RV. b) TR =  EMBED Equation.DSMT4  in, RV =  EMBED Equation.DSMT4  in. Find TV. (no calculators, show work with fractions) Novato is between San Rafael and Ronhert Park along a straight highway. The distance from San Rafael to Rohnert Park is 50 miles. The distance from Novato to Rohnert Park is 2 miles more than 5 times the distance from San Rafael to Novato. Find the distance from Novato to Rohnert Park and from Novato to San Rafael. Show a diagram. Show work with an equation. Use the figure on the right to a) Name a right angle. b) Name an acute angle. c) Name an obtuse angle. d) Name a supplement of (DOE. e) Name two angles that are complementary. f) Name two segments that are perpendicular.Draw an angle that has a measure of 125 with a protractor. Use a protractor to measure (1 and (2.    Angle addition postulate a)  EMBED Equation.DSMT4 ______ b)  EMBED Equation.DSMT4    EMBED Equation.DSMT4  Find the value of x and  EMBED Equation.DSMT4 . translate the figure along the line. Use the appropriate prime notation to label the image.  reflect the figure over the line. Use the appropriate prime notation to label the image.  rotate the figure around the point. Use the appropriate prime notation to label the image.   Name each type of transformation (choices: reflection, rotation, translation) a.   b. Transform the triangle from (x,y) to (x + 7, y)   If triangle ABC is rotated 180 about the origin which of the following are the coordinates of  EMBED Equation.DSMT4 .      A (4,3) B (4,3) C (3,4) D (3,4) Reflect the triangle across the x-axis. Write the rule: (x,y) to ( , )     Describe in words the result of applying each rule. (x,y) to  EMBED Equation.DSMT4  (x,y) to  EMBED Equation.DSMT4  (x,y) to  EMBED Equation.DSMT4  Write the rule for each description. translate 4 units up reflect over y-axis translate 2 units left The vertices of (ABC are A(3, 1) , B(3, 4), and C(0, 1). If (ABC is translated 2 units down and 3 units to the right to create (DEF, what are the coordinates of the vertices of (DEF. A D(6,3) E(6, 2) F(3,1) B D(1,2) E(1, 7) F(2,4) C D(6,4) E(6, 1) F(3,0) D D(5,3) E(5, 2) F(2,1)Which expression describes the translation of a point from (5, 2) to (8,6)? A 3 units left and 4 units up B 3 units right and 4 units up C 3 units left and 4 units down D 3 units right and 4 units down  Let point A be (2, - 4) and point B be (-8, 1). Find the slope of segment AB Find the distance from point A to point B Find the coordinates of the midpoint of AB Write the equation of the line that contains points A and B Write the equation of the line that is perpendicular to line AB and contains the point (1, 6)(work space) Some final notes: Look at the answers below- remember to mark any questions that you can not correct on your own. Well go over those in class before the test on Th/Friday. For the test, you may use your green sheet of notes and a protractor, but nothing else. (no calculator, no old homeworks.) I will be collecting your binder and grading it while you are taking the test- Ill be looking at all HW from Ch 1, as well as your 3 dividers (notes, quizzes/tests, homework/classwork.) You will get 5 points for having an organized binder in class on the test day, plus Ill record your Ch 1 HW completion score. ANSWERS: 1. * means building block of Geometry *Point no dimension, named with capital letter *Line extends infinitely in 2 directions, named with 2 capital letters with arrows above *Plane flat, extends infinitely in all directions, named with the word plane followed by 3 letters or a cursive capital letter Ray part of a line with an endpoint and extends infinitely in one direction- named with endpoint first Segment part of a line with two endpoints Collinear points points on the same line Coplanar points points in the same plane Congruent same size, same shape Acute angle angle measure less than 90 degrees Supplementary angles two angles whose measure sums to 180 P Complementary angles two angles whose measure sums to 90 Obtuse angle angle measure more than 90, less than 180 degrees R P Q S Right angle angle that measures 90 degrees Q Perpendicular Lines two lines that intersect at a right angle Angle- two rays that share a common endpoint R point, line, one line, plane, RP plus PQ = RQ , measure of angle PQS plus measure of angle SQR = measure of angle PQR, see drawings  EMBED Equation.DSMT4  b. 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