ࡱ> ln kf Y:bjbjVV <<02(     8W,G !!(I!I!I!616161FFFFFFFHKF 61.616161F  I!I!7 Fz9z9z961v I! I!Fz961Fz9z9DEhFI!P=؈1VEFF0GE L7b L F L F(6161z96161616161FFd9616161G61616161 L616161616161616161 :  Geometry Midterm Review Test 2010 2011 You must show your work to receive credit! Ms. Vasili A note to remember, for this exam: It is always helpful to draw a picture. I encourage you to do that for any problem a picture is not given. GOOD LUCK. Name:___________________ Date:_______________ Period:______ Choose the best answer for each question. Find the length of the segment with endpoints L(-1, -3) and M(-6, 9). A. 13 B. 17 C. 5 D. 12  Points A, B and D A. determine a plane B. are collinear C. are contained in only plane P D. are noncoplanar points What is the intersection of planes P and R. A points A, D and B B.  EMBED Equation.DSMT4  C.  EMBED Equation.DSMT4  D.  EMBED Equation.DSMT4  What is the measure of  EMBED Equation.DSMT4  if R is between Q and T, QR = 14 and RT = 5? A. 10 B. 11 C. 19 D. 9 Find the coordinates of the midpoint of the segment with endpoints D(6, 6) and E(-2, 2). A. (3, 4) B. (2, 4) C. (4, 8) D. (1, -1) What are the sides of  EMBED Equation.DSMT4 ? A.  EMBED Equation.DSMT4  B.  EMBED Equation.DSMT4  C.  EMBED Equation.DSMT4  D.  EMBED Equation.DSMT4   EMBED Equation.DSMT4  and  EMBED Equation.DSMT4  are A. adjacent B. vertical C. supplementary D. complementary  EMBED Equation.DSMT4  and  EMBED Equation.DSMT4  are A. adjacent B. vertical C. supplementary D. complementary  EMBED Equation.DSMT4  and  EMBED Equation.DSMT4  are A. adjacent B. vertical C. complementary D. linear pair  EMBED Equation.DSMT4  and  EMBED Equation.DSMT4  are A. adjacent B. vertical C. linear pair D. complementary  Find  EMBED Equation.DSMT4 . A. 25 B. 155 C. 175 D. 5  12. If  EMBED Equation.DSMT4 and  EMBED Equation.DSMT4 , find  EMBED Equation.DSMT4  A. 150 B. 130 C. 70 D. 80  13. Find  EMBED Equation.DSMT4 if  EMBED Equation.DSMT4  bisects  EMBED Equation.DSMT4 ,  EMBED Equation.DSMT4  and  EMBED Equation.DSMT4  A. 48 B. 18 C. 9 D. 24 Choose the converse of If  EMBED Equation.DSMT4 , then  EMBED Equation.DSMT4  =  EMBED Equation.DSMT4 . If  EMBED Equation.DSMT4  =  EMBED Equation.DSMT4 , then  EMBED Equation.DSMT4  If  EMBED Equation.DSMT4 , then  EMBED Equation.DSMT4  If  EMBED Equation.DSMT4  =  EMBED Equation.DSMT4 , then  EMBED Equation.DSMT4  =  EMBED Equation.DSMT4 . None of these Identify the hypothesis of the statement If today is Tuesday, then tomorrow is Wednesday. Today is not Tuesday Today is Wednesday Today is Tuesday Tomorrow is Wednesday Identify the if-then form of the following: All cars have four wheels. If a vehicle has four wheels, then it is a car. If a vehicle is a car, then it has four wheels. If a vehicle is not a car, then it does not have four wheels. None of these Choose the statement that follows (1) and (2) by the law of detachment. Right angles are congruent.  EMBED Equation.DSMT4  and  EMBED Equation.DSMT4  are right angles A. m EMBED Equation.DSMT4  = 90 B. m EMBED Equation.DSMT4  = 90 C.  EMBED Equation.DSMT4  D.  EMBED Equation.DSMT4  =  EMBED Equation.DSMT4  Which statement represents the law of syllogism. If  EMBED Equation.DSMT4 is a true conditional and p is true, then q is true. If  EMBED Equation.DSMT4 and  EMBED Equation.DSMT4 are true conditionals, then  EMBED Equation.DSMT4 is true. If a, b and c are real numbers, then a(b + c) = ab + ac. None of these The transitive property of equality states If a = b and b = c, then _____ . A. b = a B. a = c C. c = b D. b = b 20.  EMBED Equation.DSMT4  and  EMBED Equation.DSMT4  form a linear pair and  EMBED Equation.DSMT4  Find  EMBED Equation.DSMT4  A. 62 B. 28 C. 118 D. 90 21. Given  EMBED Equation.DSMT4  and  EMBED Equation.DSMT4 = 72, find  EMBED Equation.DSMT4 . ( for 21-23, the rectangle represent parallel lines) A. 108 B. 72 C. 18 D. 112 Given  EMBED Equation.DSMT4 ,  EMBED Equation.DSMT4 = 9x +5 and  EMBED Equation.DSMT4 = x + 37, find the value of x. A. 32 B. 4 C. 41 D. 39 Given  EMBED Equation.DSMT4  and  EMBED Equation.DSMT4  = 3x + 28, find the value of x so that  EMBED Equation.DSMT4 . A. 26 B. 13 C. 67 D. 75 A right triangle must be A. isosceles B. acute C. scalene D. either isosceles or scalene Find the measures of the legs of an equilateral triangle PQR if PQ = 5x 7 and PR = 2x + 5. A. 39 B. 13 C. 12 D. 4 In triangle ABC, what is the angle opposite  EMBED Equation.DSMT4 ? A.  EMBED Equation.DSMT4  B.  EMBED Equation.DSMT4  C.  EMBED Equation.DSMT4  D.  EMBED Equation.DSMT4  In triangle DEF, if  EMBED Equation.DSMT4  and  EMBED Equation.DSMT4  is the hypotenuse, then triangle DEF is A. acute and scalene B. right and scalene C. right and isosceles D. obtuse and isosceles The measures of two angles of a triangle are 38 and 47. What is the measure of the third angle? A. 85 B. 95 C. 133 D. 142 If  EMBED Equation.DSMT4 , then  EMBED Equation.DSMT4  is congruent to A.  EMBED Equation.DSMT4  B.  EMBED Equation.DSMT4  C.  EMBED Equation.DSMT4  D.  EMBED Equation.DSMT4  Which of the following is not a postulate used to prove the congruence of two triangles? A. ASA B. SSA C. SAS D. SSS The measure of the vertex angle of an isosceles triangle is 120. That is the measure of the base angle? A. 60 B. 30 C. 35 D. 40 Name one additional pair of corresponding parts that need to be congruent in order to prove that  EMBED Equation.DSMT4  by ASA. A.  EMBED Equation.DSMT4  B.  EMBED Equation.DSMT4  C.  EMBED Equation.DSMT4  D.  EMBED Equation.DSMT4   Identify the median of triangle ABC. A.  EMBED Equation.DSMT4  B.  EMBED Equation.DSMT4  C.  EMBED Equation.DSMT4  D.  EMBED Equation.DSMT4  Identify the altitude of triangle ABC. A.  EMBED Equation.DSMT4  B  EMBED Equation.DSMT4  C.  EMBED Equation.DSMT4  D.  EMBED Equation.DSMT4  In triangle ABC, if  EMBED Equation.DSMT4  and  EMBED Equation.DSMT4  is an angle bisector, find  EMBED Equation.DSMT4  A. 90 B. 51 C. 39 D. 12  What is the longest side of the figure QUAD. A.  EMBED Equation.DSMT4  B  EMBED Equation.DSMT4  C.  EMBED Equation.DSMT4  D.  EMBED Equation.DSMT4  In triangle EFG,  EMBED Equation.DSMT4 = 6x 8,  EMBED Equation.DSMT4 7x + 3, and  EMBED Equation.DSMT4  = 3x 7. Choose the list that shows the sides correctly ordered from shortest to longest. A.  EMBED Equation.DSMT4  B.  EMBED Equation.DSMT4  C.  EMBED Equation.DSMT4  D.  EMBED Equation.DSMT4  Determine which set of numbers can be the measures of the sides of a triangle. A. 13, 10, 16 B. 1, 2, 3 C. 5.2, 11, 4.9 D. 208, 9, 219 Two sides of a triangle have lengths 15 cm and 19 cm. Which measurement can be the length of the third side? A. 6 cm B. 4 cm C. 40 cm D. 36 cm If the sides of a triangle have measures 3x + 4, 6x 1 and 8x + 2, find all possible values of x. A. x > -1 B.  EMBED Equation.DSMT4  C.  EMBED Equation.DSMT4  D. x > 0 If M is the midpoint of  EMBED Equation.DSMT4 ,  EMBED Equation.DSMT4 , JL = 10x + 2, and LK = 6x + 14, which is a possible value of x? 1 2 3 4 Properties State the property, theorem, postulate or definition used to make the conclusion. If UV = VW, then VW = UV. ___________________________________________________ If  EMBED Equation.DSMT4 is a right angle, then  EMBED Equation.DSMT4 is 90 EMBED Equation.DSMT4 . _____________________________________________ 2(x 50) = 2x 100. __________________________________________ If  EMBED Equation.DSMT4  and  EMBED Equation.DSMT4 are vertical angles, then  EMBED Equation.DSMT4 . ______________________ ___________________ If  EMBED Equation.DSMT4 , then  EMBED Equation.DSMT4 is a right angle. _________________________  AB + BC = AC. __________________________________________ If  EMBED Equation.DSMT4 , then  EMBED Equation.DSMT4 . ______________________________________________________  EMBED Equation.DSMT4 . ________________________________________________________________________ If 2x + 4 = 17, then 2x = 13. ____________________________________________________________ T is the midpoint of  EMBED Equation.DSMT4 , then  EMBED Equation.DSMT4 . ________________________________________________ If  EMBED Equation.DSMT4  and  EMBED Equation.DSMT4 , then  EMBED Equation.DSMT4 . ________________________________________________ If  EMBED Equation.DSMT4  and  EMBED Equation.DSMT4 are a linear pair, then they are supplementary. _______________________________ If  EMBED Equation.DSMT4  bisects  EMBED Equation.DSMT4 , then  EMBED Equation.DSMT4 . ___________________________________________ If  EMBED Equation.DSMT4  and  EMBED Equation.DSMT4 are supplementary, then  EMBED Equation.DSMT4 . _____________________________________ If  EMBED Equation.DSMT4 , then  EMBED Equation.DSMT4 . _______________________________________________________  EMBED Equation.DSMT4 , then  EMBED Equation.DSMT4 . _____________________________________________________________  58. . Given:  EMBED Equation.DSMT4  Prove:  EMBED Equation.DSMT4  ( the symbol represent the triangle sign) F is a midpoint of  EMBED Equation.DSMT4   Statements Reasons 1. ___________________________ 1._______________________________________________________ 2. ___________________________ 2._______________________________________________________ 3. ___________________________ 3._______________________________________________________ 4. ___________________________ 4._______________________________________________________ 5. ___________________________ 5._______________________________________________________ 6. ___________________________ 6. ______________________________________________________ 7. ____________________________ 7.________________________________________________________  59. Given:  EMBED Equation.DSMT4  Prove:  EMBED Equation.DSMT4   EMBED Equation.DSMT4  Statements Reasons 1. ____________________________ 1. _____________________________________________________ 2. ____________________________ 2. _____________________________________________________ 3. ____________________________ 3. _____________________________________________________ 4. ____________________________ 4. ______________________________________________________  60. Given: W is a midpoint of  EMBED Equation.DSMT4  Prove:  EMBED Equation.DSMT4   EMBED Equation.DSMT4  Statements Reasons  1. ___________________________ 1. ______________________________________________________ 2. ___________________________ 2. ______________________________________________________ 3. ___________________________ 3. ______________________________________________________ 4. ___________________________ 4. ______________________________________________________ 5. ___________________________ 5. ______________________________________________________ 6. ___________________________ 6. ______________________________________________________ 7. ____________________________ 7._______________________________________________________ 61. Given: 3(2x 5) + 1 = 2(x 3) Prove: x = 2  Statements Reasons  1.___________________________ 1.__________________________________ 2.___________________________ 2.__________________________________ 3.___________________________ 3.__________________________________ 4.___________________________ 4.__________________________________ 5.___________________________ 5.__________________________________ 6.___________________________ 6.__________________________________  Given: a (( b (1 ( (4 Prove: c (( d  Statements Reasons  1. a (( b 1.__________________________________ 2. (1 ( (3 2.__________________________________ 3. (3 ( (1 3.__________________________________ 4. (1 ( (4 4.__________________________________ 5. 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