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Honors Geometry - Meinke Chapter 1 Test Review Packet Covers Sections 1-1, 1-3, 1-4, 1-5, 1-6, 1-8, 1-9 BRING A CALCULATOR AND A PENCIL. SHOW ALL YOU WORK. PUT UNITS ON YOUR ANSWER. Review the postulates 1-1 to 1-8 Formulas to memorize: h r b Perimeter = 2b+2h Area = bh Circumference C= Area = Formulas given on test: √ Midpoint: 1.) Find a counterexample to show that the conjecture is false. c Conjecture: The product of two positive numbers is greater than the sum of the two numbers. a) 3 and 5 b) 2 and 2 c) 0.5 and 6 d) -1 and 6 Use this figure to answer questions 3 and 4. Q 2.) Are O, N and P collinear? ___________no__________________ 3.) Name an angle that is vertical to /MNP. __/ONQ____________________________ 4.) What is the intersection of plane TUY and plane VYZ?_____UY________ 5.) Name three labeled segments that are skew to SV._____TX, UY , ZY_________________________ 6.) Name three labeled segments that are parallel to SV._____TU, XY, WZ_____________________ 7.) Name a pair of parallel planes. ____ _SVU, WZY___________________________ Use this figure to answer questions to 11 to 12. 8.) Find the length of AC. ______________12______________________________ 9.) Find the length of CB. ________________4_______________________________ 10.) If EF = 2x – 12, FG = 3x – 15 and EG = 23, find the values of x, EF, and FG. (The drawing is not to scale) 2x-12+3x-15=23 5x-27=23 5x=50 X=10 x=_________10______________ EF = ___2(10)-12=8__________ FG = _____3(10)-15=15__________ 11.) If T is the midpoint of SU, find the values of x and ST. (The diagram is not to scale.) 9x=4x+25 5x=25 X=5 x=_________5_____________ ST = __________9(5)=45______________ Use this figure to answer questions 20 and 21 12.) Name an angle supplementary to /EOA. ________/AOC_________________ 13.) Name an angle complimentary to /BOC______/COD__________________________ 14.) If /EOA = find /EOD= ___180-32=148_______ and /BOC = ___180-90-32=58__________ 15.) If m/EOF = 26 and m/FOG = 38, then what is the m/EOG? (The diagram is not to scale.) m/EOG=_____26+38__________________ 16.) 30x+5+6x+5=118, x=3 17) x+117+x+47=146, x=-9, <DHI=108 18) Find x, and m/SRH if and m/SRQ is a straight angle. x+43+x+147=180, x=-5, 19.) Given (The diagram is not to scale.) 5x+3=2x+9 E is the midpoint of DG. E is the midpoint of FH. m/DEF = DE = EG = FH = 22 Find m/DEH = _180-132__________ ____22/2=11__________ x = ___4______ DE = ___23__________ FE = 20) Given O, P and Q are collinear points. P is between O and Q. 7y+9+3y+4=143 Find y = __13_____ OP = ___________ PQ = ______________ 21.) Find the distance between point T(5, 2) and R(-4, -1). __________9.486___________________ Use this figure to answer questions 23 to 25. 22.) Label the midpoint between Landview and Oceanfront. |3- -2|=5 23.) What is the distance from Oceanfront to Seaside?__________________________ √ 24.) Find the coordinates of the midpoint of the segment whose endpoints are H(8, 2) and K(6, 10). (7,6) Midpoint: 25.) Find the perimeter of the rectangle. (The drawing is not to scale.) 2(3)+2(5)=6+10=16 3 5 26.) Heather wants to put a fence around her rectangular pool. Her pool measures 9 meters by 3 meters. The pool has a deck around it that is 2 meters wide. How much fencing material does Heather need to enclose the pool and the deck? (don’t forget to put units on your answer.) Draw a picture: Fencing needed__________________________ 2(9+2+2)+2(3+2+2)= 27.) Find the circumference of the circle in terms of . ___2(39) _in squared (Don’t forget to put units on your answer.) 28.) Find the area of the circle in terms of . (Don’t forget to put units on your answer.) ______(28)(28) _meters squared 29.) Find the area of a rectangle with a base of 3 cm and height of 4 cm. (Don’t forget to put units on your answer.) ____________________12 cm squared___________________________________ 30.) Find the area of a circle with a radius or 5 cm. (Don’t forget to put units on your answer.) _______________________25 cm squared_______________________________ 31.) Find the area of the shape below. (all angles are right.) 15 6 6 3 5 5 3 5 There are many ways to do this problem here is one. 6(15)-3(5) 32.) Find the area of the shaded region.